Meissner-effect transition-edge-sensor microcalorimeter

Abstract

A Meissner-Effect Transition-Edge-Sensor (ME-TES) microcalorimeter device may have one or more microcalorimeter elements, each including an absorber body composed of a superconductive element that is arranged to absorb incoming photons or radiative particles. A planar pickup coil substantially surrounds the absorber body and is located within a magnetic sensing distance of the absorber body. Absorption of incoming photons or radiative particles increases the temperature of the superconductive element, resulting in a change in magnetic flux through the superconductive element. This change in magnetic flux induces a transient electric current in the planar pickup coil that may be sensed using a readout circuit. A method is provided for fabricating an ME-TES microcalorimeter device.

Claims

1. An apparatus comprising: a substrate; and one or more microcalorimeter elements formed on the substrate, each microcalorimeter element comprising: an absorber body including a superconductive element, the superconductive element adapted to absorb an incoming photon or radiative particle, wherein heating of the superconductive element due to the absorbed incoming photon or radiative particle causes a change in magnetic flux passing through the superconductive element; and a planar pickup coil that substantially surrounds the absorber body, the planar pickup coil located within a magnetic sensing distance of the absorber body, the planar pickup coil adapted to sense the change in magnetic flux through the superconductive element.

2. The apparatus of claim 1, wherein the absorber body and the planar pickup coil of each microcalorimeter element are formed of corresponding thin films on the substrate.

3. The apparatus of claim 1, wherein the one or more microcalorimeter elements includes a plurality of microcalorimeter elements arranged in one of a one-dimensional or a two-dimensional array.

4. The apparatus of claim 1, further comprising a thermally insulative film formed on the substrate, at least the absorber body of each microcalorimeter element being formed on the thermally insulative film.

5. The apparatus of claim 1, wherein each absorber body has a diameter of between approximately 5 m and approximately 1000 m.

6. The apparatus of claim 1, further comprising a corresponding readout circuit coupled to the planar pickup coil of each corresponding microcalorimeter element.

7. The apparatus of claim 6, further comprising a signal processor, the signal processor being individually coupled to the readout circuit of each corresponding microcalorimeter element.

8. The apparatus of claim 1, further comprising a magnetic field generator adapted to generate at least a portion of the magnetic field around or through the absorber body of each microcalorimeter element.

9. The apparatus of claim 1, further comprising a cryogenic cooling system adapted to maintain the corresponding superconductive element of each of the one or more microcalorimeter elements at an operating temperature T.sub.0 of approximately the transition temperature T.sub.C of the corresponding superconductive element of each of the one or more microcalorimeter elements.

10. The apparatus of claim 1, wherein the superconductive element of each of the one or more microcalorimeter elements includes one of tin or a tin alloy.

11. The apparatus of claim 1, wherein the superconductive element of each of the one or more microcalorimeter elements includes a gold seed layer.

12. The apparatus of claim 1, wherein the superconductive element of each of the one or more microcalorimeter elements is a film with a thickness of between approximately 5 m and approximately 14 m.

13. The apparatus of claim 1, wherein the planar pickup coil of each of the one or more microcalorimeter elements includes niobium.

14. The apparatus of claim 1, wherein the planar pickup coil of each of the one or more microcalorimeter elements includes at least one of an aluminum adhesion layer or a palladium protection layer.

15. The apparatus of claim 1, wherein the planar pickup coil of each of the one or more microcalorimeter elements is a film with a thickness between approximately 300 nm and approximately 575 nm.

16. A method for fabricating a microcalorimeter device, comprising the steps of: providing a substrate; forming a planar pickup coil on a first portion of the substrate; and forming an absorber body including a superconductive element on a second portion of the substrate, the absorber body formed such that the planar pickup coil substantially surrounds the absorber body.

17. The method of claim 16, wherein the substrate includes at least a portion of a silicon wafer.

18. The method of claim 16, wherein the superconductive element includes one of tin or a tin alloy.

19. The method of claim 16, wherein the planar pickup coil includes niobium.

20. The method of claim 16, further comprising the step of forming a thermally insulative film immediately after the step of providing the substrate, at least the absorber body being formed on the thermally insulative film, the thermally insulative film including silicon nitride.

Description

BRIEF DESCRIPTION OF THE DRAWINGS

(1) The drawings illustrate several embodiments of the invention, wherein identical reference numerals refer to identical or similar elements or features in different views or embodiments shown in the drawings. The drawings may or may not be to scale and are intended only to illustrate the elements of various embodiments of the present invention.

(2) FIGS. 1A-1D illustrate a Meissner-Effect Transition-Edge-Sensor (ME-TES) microcalorimeter in accordance with one or more embodiments of the present invention and its principle of operation.

(3) FIGS. 2A and 2B schematically illustrate a single element of an ME-TES microcalorimeter in accordance with one or more embodiments of the present invention.

(4) FIGS. 3A-3F are photographic images showing views of ME-TES microcalorimeters in accordance with one or more embodiments of the present invention in various stages of fabrication and of various sizes.

(5) FIG. 4 is a schematic circuit diagram of a readout circuit coupled to an ME-TES microcalorimeter element in accordance with one or more embodiments of the present invention.

(6) FIGS. 5A and 5B illustrate the measured responses of two complementary ME-TES elements in accordance with one or more embodiments of the present invention.

(7) FIGS. 6A and 6B illustrate the measured resistance of the planar pickup coil for an ME-TES element in accordance with one or more embodiments of the present invention.

DETAILED DESCRIPTION

(8) As illustrated in FIGS. 1A-1D, a Meissner-Effect Transition-Edge-Sensor (ME-TES) microcalorimeter 100 in accordance with one or more embodiments of the present invention utilizes the magnetic superconducting transition for transduction from temperature to magnetic flux. The ME-TES 100 uses a single superconductor element 110, as both absorber and sensor.

(9) The ME-TES microcalorimeter 100 may be utilized for the thermal detection of incident radiation 120, in particular, radiation in the x-ray and gamma-ray regions of the electromagnetic spectrum. The ME-TES microcalorimeter 100 operates by measurement of the temperature rise induced in the ME-TES microcalorimeter 100 by the absorption of the incident radiation 120. As suggested by the prefix micro, each ME-TES microcalorimeter 100 must be small enough that the deposited energy due to absorbing an x-ray or gamma-ray photon in the incident radiation 120 is sufficient to produce a measurable temperature rise of the superconductor element 110.

(10) The magnetic superconducting transition illustrated in FIG. 1B can be divided into the three labeled regions based upon the operating temperature T.sub.0 and the transition temperature T.sub.C of the superconductor element 110: T.sub.0<T.sub.C, which may be referred to as the Meissner regime 170; T.sub.0T.sub.C, which may be referred to as the transition regime 172; and T.sub.0>T.sub.C, which may be referred to as the normal regime 174. For T.sub.0<T.sub.C in the Meissner regime 170, an externally applied magnetic field 180 is completely expelled from the superconductor element 110, resulting in the net magnetic field distribution schematically illustrated as lines in FIG. 1C. This is because the superconductor element 110 generates its own opposing magnetic field through what is known as the Meissner effect, which effectively cancels the externally applied magnetic field 180 within the superconductor element 110. For T.sub.0>T.sub.C in the normal regime 174, the externally applied magnetic field 180 freely penetrates the superconductor element 110, resulting in the net magnetic field distribution schematically illustrated as lines in FIG. 1D. In each case, the externally applied magnetic field 180 is generated by a magnetic field generator (not illustrated), for example, a coil through which a current passes or a permanent magnet. Note that while this magnetic field generator may generate the externally applied magnetic field 180 local to each individual superconductor element 110, a larger magnetic field generator that generates a global externally applied magnetic field 180 for all of the superconductor elements 110 in an array may be preferable in certain embodiments.

(11) For T.sub.0T.sub.C in the transition regime 172, the externally applied magnetic field 180 is partially expelled from the superconducting element 110. It is this partial expulsion of the externally applied magnetic field 180 in the transition regime 172 that is utilized for transduction from temperature to magnetic flux. A temperature rise T(t) of the superconductor element 110 due to the incident radiation 120 results in less expelled externally applied magnetic field 180. This change in magnetic flux passing through the superconductor element 110 may be detected by a proximal detector, i.e., a detector situated within a magnetic coupling distance of the superconductor element 110. Stated differently, the ME-TES microcalorimeter 100 detects a change in the magnetic flux, i.e., a change in the integrated product of the magnetic field and the area enclosed by the planar pickup coil 130. In the ME-TES microcalorimeter 100 of FIG. 1A, the proximal detector is the co-fabricated planar pickup coil 130.

(12) For the best possible magnetic coupling, the separation S between the superconductor element 110 and the planar pickup coil 130 (defined below) should be as small as possible. Typically, lithographic fabrication limitations dictate this distance, resulting in, for example, a minimum separation of approximately 0.5 m. This minimum separation may be compared with the diameter D.sub.SC of the superconductor element 110, which is in the range of approximately D.sub.SC=5 m to 1000 m and is typically on the order of tens of micrometers. The ME-TES microcalorimeter 100 further includes a thermally insulative film 140 located between both the planar pickup coil 130 and the superconductor element 110, and a substrate 150.

(13) The inset of FIG. 1B illustrates a simulation result of the net magnetic field near the superconductor element 110 for a fixed temperature rise T(t) of the superconducting element 110. Within the interior of the superconductor element 110, the net magnetic field is positive, while near the lateral edges of the superconductor element 110, the net magnetic field is negative. Far from the superconductor element 110, the net magnetic field is the externally applied magnetic field 180.

(14) A schematic (not to scale) drawing of the ME-TES microcalorimeter 100 is shown in FIGS. 2A and 2B, with a top view in FIG. 2A and a cross-sectional view in FIG. 2B. Parameters defined symbolically in FIGS. 2A and 2B include the diameter D.sub.SC of the superconductor element 110; the inner diameter D.sub.CI of the planar pickup coil 130; the outer diameter D.sub.CO of the planar pickup coil 130; the thickness H.sub.TR of the thermally insulative film 140; the thickness HCL of the planar pickup coil 130; the thickness H.sub.SC of the superconductor element 110; the gap C in the circumference of the planar pickup coil 130; and the linear dimension L of the bond pads 200 used to electrically connect to the planar pickup coil 130.

(15) In the design illustrated in FIGS. 2A and 2B, the presence of the thermally insulative film 140 beneath the planar pickup coil 130 is a consequence of the fabrication process. The thermally insulative film 140 beneath the planar pickup coil 130 is not essential to the operation of the ME-TES microcalorimeter 100, and in some embodiments may be omitted. In contrast, the thermally insulative film 140 is included between the superconductor element 110 and the substrate 150 in order to provide partial thermal isolation between the superconductor element 110 and the substrate 150.

(16) The planar pickup coil 130 substantially surrounds the superconductor element 110, i.e., more than halfway around. For purposes of magnetic coupling, the size of the gap C is secondary to the separation S between the superconductor element 110 and the planar pickup coil 130. However, it will generally be advantageous to set C to as small a value as possible, which will typically be limited by fabrication tolerances. In demonstration ME-TES microcalorimeters, C was as small as approximately 5 m. At a value of 5 m, C is about one-third the circumference of a 5-m-diameter superconductor element 110 and about 1/600 the circumference of a 1000-m-diameter superconductor element 110.

(17) Parameters that may be derived from FIGS. 2A and 2B include the separation S=[(D.sub.CID.sub.SC)/2] or gap between the outer diameter D.sub.SC of the superconductor element 110 and the inner diameter D.sub.CI of the planar pickup coil 130; and the width W=[(D.sub.COD.sub.CI)/2] of the planar pickup coil 130. To maximize the change in magnetic flux within the area enclosed by the planar pickup coil 130, the following are considerations for the design: minimization of the separation S=[(D.sub.CID.sub.SC)/2]; minimization of the width W=[(D.sub.COD.sub.CI)/2]; and minimization of the gap C in the circumference of the planar pickup coil 130.

(18) ME-TES microcalorimeter elements, i.e., pixels, consisting of superconducting elements in the form of micro-disks separated from a substrate by a thin thermally insulative film, as illustrated schematically (not to scale) in FIGS. 1A-1D and FIGS. 2A and 2B, were fabricated. These micro-disk-based ME-TES microcalorimeter elements were realized using a novel microfabrication process consisting of a combination of optical lithography and electrodeposition of the superconducting elements, as shown (to scale) in FIGS. 3A-3F. While the ME-TES microcalorimeter elements illustrated schematically in FIGS. 1A-1D and FIGS. 2A and 2B are micro-disks, other shapes may be employed. Note, however, that the corners of ME-TES microcalorimeter elements in the form of micro-squares or micro-rectangles may be problematic with respect to magnetic field concentration and corresponding detection.

(19) A silicon wafer, as illustrated in FIG. 3A, constituted the starting material for the microfabrication process. Following wafer-level processing, the wafer was cleaved into four quarter-wafers defined by the four quadrants illustrated in FIG. 3A. Each quarter-wafer subsequently underwent electroplating of the superconductor elements followed by additional microfabrication processes to fully define the ME-TES microcalorimeter elements. Following characterization at the quarter-wafer level, a quarter-wafer was diced into individual die containing various arrays of ME-TES microcalorimeter elements, for example, as illustrated in FIG. 3B.

(20) Individual ME-TES microcalorimeter elements are illustrated in FIGS. 3C-3F, where each image is a scanning electron microscope (SEM) micrograph. ME-TES elements with diameters from D.sub.SC=5 m to D.sub.SC=1000 m, separations S0.5 m, and widths W5 m were fabricated.

(21) The initial ME-TES elements illustrated in FIGS. 3A-3F consist of the following materials: Tin for the superconducting elements; silicon nitride for the thermally insulative film; niobium/palladium for the planar pickup coil; and silicon for the substrate. The choice of material for the superconducting elements, and its corresponding superconducting transition temperature T.sub.C, must be compatible with the temperature range of the experimental cryogenic measurement system, as the ME-TES elements must be operated in the transition regime 172, i.e., at T.sub.0T.sub.C, as illustrated in FIG. 1B. In other embodiments, other superconducting materials may be employed, including, for example, other elemental superconductors, superconducting alloys, and superconducting bilayers consisting of a superconducting layer and a non-superconducting normal metal layer.

(22) For the planar pickup coil in an example fabrication process, an adhesion layer of aluminum, approximately 5 nm in thickness, was deposited. This was followed by a layer of niobium, having a thickness of between approximately 250 nm and 500 nm. The aluminum and niobium layers were deposited in series, without breaking the vacuum, in a sputtering deposition chamber. A palladium layer was added for protecting the niobium from oxidation, and to provide a suitable surface for wirebonding. The palladium layer was deposited by electron-beam evaporation, with a targeted thickness of between approximately 50 nm and 70 nm. In various embodiments, the overall thickness of the planar pickup coil may thus be between approximately 300 nm and 575 nm. The planar pickup coil may be patterned in one of two ways. A lift-off process may be used in which a layer of photoresist is patterned before deposition of the aluminum, niobium, and palladium layers. Alternatively, an etch process may be used in which the aluminum, niobium, and palladium layers are deposited before a layer of photoresist is patterned, with an etch removing the aluminum, niobium, and palladium layers not protected by the photoresist.

(23) The choice of niobium-palladium for the planar pickup coil was particularly advantageous due to the use of a superconducting quantum interference device (SQUID) in the readout circuit. Superconductivity of the niobium offers a low impedance to the SQUID, as needed for it to operate effectively, as well as no Johnson-Nyquist noise.

(24) Subsequently, the tin for the superconducting elements is electrodeposited on a seed layer of gold. Specifically, the tin is selectively deposited only on the seed layer through openings in a patterned photoresist (different from the patterned photoresist used to define the planar pickup coil). An example thickness for the tin layer is approximately 10 m.

(25) While the fabrication process is described as being a series of steps that are performed in a sequence, it is to be understood and appreciated that the fabrication process is not limited by the order of the sequence. For example, some steps can occur in a different order than what is described herein. In addition, a step can occur concurrently with another step. Further, in some instances, not all steps may be required to implement the fabrication process.

(26) Readout of the magnetic flux-change signal from a ME-TES device 400 may be performed using the readout circuit 410 illustrated in FIG. 4, which is offered as a non-limiting example. The superconductor element 420 in FIG. 4 corresponds to the superconductor element 110 in FIG. 2A. The planar pickup coil 430 (with inductance L.sub.p) in FIG. 4 corresponds to the planar pickup coil 130 in FIG. 2A. The planar pickup coil 430 is coupled to a SQUID 440 via an input coil 435 (with inductance L.sub.i).

(27) Versions of the readout circuit 410 shown in FIG. 4 are available as commercial packages based on an established design. See, for example, J. Clarke and A. I. Braginski, The SQUID Handbook, Wiley-VCH Verlag, 2004), the contents of which are incorporated herein by reference. The readout circuit 410 in FIG. 4 is based on the SQUID 440 consisting of two Josephson junctions connected in parallel in a superconducting loop biased with a current Ib. The SQUID 440 may be viewed as a cryogenic magnetic flux-to-voltage converter/amplifier.

(28) The thermal change in the superconductor element 420, due to absorption of a photon or radiative particle, causes a current pulse in the planar pickup coil 430, which is read by the SQUID 440. Processing of the output signal from the readout circuit 410, either in real time or subsequently from stored data, may include integration over time to obtain a measurement of absorbed energy.

(29) Commercially available versions of the readout circuit 410 may include the SQUID 440 together with the additional circuit elements illustrated in FIG. 4 that enable operation in a closed-loop feedback or flux-lock mode. The flux-lock mode serves to linearize the response, i.e., voltage, of the SQUID 440, and provide functional dynamic range. In flux-lock mode, the deviation of the voltage from the SQUID 440 from the working point is amplified by an amplifier 450, and serves as one input to a lock-in detector 480. An oscillator 490 generates a reference frequency that serves as a second input to the lock-in detector 480 and is provided to a feedback coil 470B. The output of the lock-in detector is then integrated by an integrator 460, and fed back into the SQUID 440 via a feedback resistor 470A and the feedback coil 470B which is magnetically coupled to the SQUID 440 via a mutual inductance. In the flux-lock mode, a magnetic flux applied to the SQUID 440 by a current flowing in the input coil 435 is cancelled by an opposing magnetic flux in the feedback coil 470B that is likewise coupled to the inductance of the SQUID 440. A change in the magnetic flux through the SQUID 440 results in an in-phase or out-of-phase signal at the reference frequency, depending on the sign of the magnetic flux change, at the first input to the lock-in detector 480. Thus, the output of the lock-in detector 480 is a voltage proportional to the change in the magnetic flux applied to the SQUID 440. The current flowing in the input coil 435 may, for example, correspond to a change in magnetic flux sensed by the pickup coil 430. As those ordinarily skilled in the art will recognize, readout circuits of various other designs could be used as alternatives, or as complements, to the readout circuit 410 illustrated in FIG. 4.

(30) While not illustrated in FIG. 4, at least the ME-TES device 400, with its superconductor element 420 and planar pickup coil 430, the input coil 435, the SQUID 440, with its two Josephson junctions and superconducting loop, and the feedback coil 470B are all located within a cryogenic cooling system. The cryogenic cooling system is used to achieve the operating temperature T.sub.0 corresponding to approximately the transition temperature T.sub.C of the superconductor element 420.

(31) Several factors should be considered when selecting the dimensions for the superconductor element. For the area (at constant thickness), there is a tradeoff between temperature signal, which is stronger for smaller areas, and probability of photon detection, which is greater for larger areas. A smaller probability of photon detection generally leads to longer count times. There is also a practical lower limit of approximately 5 m for the diameter of the superconductor element because of limitations of the fabrication process.

(32) For the thickness (at constant area) for the superconductor element, there may be a similar, but weaker, tradeoff, as decreasing the thickness will lead to a stronger temperature signal, but may reduce the absorption probability for the photons or radiative particles that are to be detected. There is a practical limit on the thickness of the superconductor element when its deposition is masked by a resist, because undesirable overplating will result if the deposition proceeds to a thickness greater than the resist. There are also length scales associated with the superconductivity that place a fundamental limit on how thin the superconductor element can be made. These are the coherence length and the penetration depth, which are typically on the order of one micrometer or less. The result is that the thickness of the superconductor element in various embodiments is preferably between approximately 5 m and 14 m.

(33) By way of example, both linear and two-dimensional arrays with densities of up to 64 superconductor elements per cm.sup.2 have been fabricated using the above methods. In at least some examples of a measurement system that includes an array of superconductor element as described above, a signal processor would be individually connected to each element of the array for processing of its corresponding readout signal. FIGS. 5A and 5B illustrate the measured responses of two complementary ME-TES elements with a T.sub.C of approximately 3.55 K. FIGS. 6A and 6B illustrate the measured resistance of the planar pickup coil for an ME-TES element, showing a T.sub.C of approximately 9.5 K for the planar pickup coil.

(34) The invention may be embodied in other specific forms without departing from its spirit or essential characteristics. The described embodiments are to be considered in all respects only as illustrative and not restrictive. The scope of the invention is, therefore, indicated by the appended claims rather than by the foregoing description. All changes which come within the meaning and range of equivalency of the claims are to be embraced within their scope.