Specific Heat of Holmium in Gold and Silver at Low Temperatures
- Publication type:
- Journal article
- Metadata:
-
- Autoren
- Matthew Herbst
- Andreas Reifenberger
- Clemens Velte
- Holger Dorrer
- Christoph E Duellmann
- Christian Enss
- Andreas Fleischmann
- Loredana Gastaldo
- Sebastian Kempf
- Tom Kieck
- Ulli Koster
- Federica Mantegazzini
- Klaus Wendt
- Autoren-URL
- https://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=fis-test-1&SrcAuth=WosAPI&KeyUT=WOS:000577032200001&DestLinkType=FullRecord&DestApp=WOS_CPL
- DOI
- 10.1007/s10909-020-02531-1
- eISSN
- 1573-7357
- Externe Identifier
- Clarivate Analytics Document Solution ID: QA5OZ
- ISSN
- 0022-2291
- Ausgabe der Veröffentlichung
- 1-2
- Zeitschrift
- JOURNAL OF LOW TEMPERATURE PHYSICS
- Schlüsselwörter
- Heat capacity
- Schottky anomaly
- Dilute holmium alloys
- Metallic magnetic calorimeters
- ECHo
- Paginierung
- 106 - 120
- Datum der Veröffentlichung
- 2021
- Status
- Published
- Titel
- Specific Heat of Holmium in Gold and Silver at Low Temperatures
- Sub types
- Article
- Ausgabe der Zeitschrift
- 202
Data source: Web of Science (Lite)
- Other metadata sources:
-
- Abstract
- <jats:title>Abstract</jats:title><jats:p>The specific heat of dilute alloys of holmium in gold and in silver plays a major role in the optimization of low temperature microcalorimeters with enclosed<jats:inline-formula><jats:alternatives><jats:tex-math>$$^{163}{{\text {Ho}}}$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:msup><mml:mrow /><mml:mn>163</mml:mn></mml:msup><mml:mtext>Ho</mml:mtext></mml:mrow></mml:math></jats:alternatives></jats:inline-formula>, such as the ones developed for the neutrino mass experiment ECHo. We investigate alloys with atomic concentrations of<jats:inline-formula><jats:alternatives><jats:tex-math>$$x_{{{\text {Ho}}}}=0.01{-}4\%$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:msub><mml:mi>x</mml:mi><mml:mtext>Ho</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mn>0.01</mml:mn><mml:mo>-</mml:mo><mml:mn>4</mml:mn><mml:mo>%</mml:mo></mml:mrow></mml:math></jats:alternatives></jats:inline-formula>at temperatures between 10 and<jats:inline-formula><jats:alternatives><jats:tex-math>$$800\,{{{\hbox {mK}}}}$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mn>800</mml:mn><mml:mspace /><mml:mtext>mK</mml:mtext></mml:mrow></mml:math></jats:alternatives></jats:inline-formula>. Due to the large total angular momentum<jats:inline-formula><jats:alternatives><jats:tex-math>$$J=8$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi>J</mml:mi><mml:mo>=</mml:mo><mml:mn>8</mml:mn></mml:mrow></mml:math></jats:alternatives></jats:inline-formula>and nuclear spin<jats:inline-formula><jats:alternatives><jats:tex-math>$$I=7/2$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi>I</mml:mi><mml:mo>=</mml:mo><mml:mn>7</mml:mn><mml:mo>/</mml:mo><mml:mn>2</mml:mn></mml:mrow></mml:math></jats:alternatives></jats:inline-formula>of<jats:inline-formula><jats:alternatives><jats:tex-math>$${{\text {Ho}}}^{3+}$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msup><mml:mrow><mml:mtext>Ho</mml:mtext></mml:mrow><mml:mrow><mml:mn>3</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:math></jats:alternatives></jats:inline-formula>ions, the specific heat of<jats:underline>Au</jats:underline>:Ho and<jats:underline>Ag</jats:underline>:Ho depends on the detailed interplay of various interactions, including contributions from the localized 4f electrons and nuclear contributions via hyperfine splitting. This makes it difficult to accurately determine the specific heat of these materials numerically. Instead, we measure their specific heat by using three experimental setups optimized for different concentration and temperature ranges. The results from measurements on six holmium alloys demonstrate that the specific heat of these materials is dominated by a large Schottky anomaly with its maximum at<jats:inline-formula><jats:alternatives><jats:tex-math>$$T\approx 250\,{{{\hbox {mK}}}}$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi>T</mml:mi><mml:mo>≈</mml:mo><mml:mn>250</mml:mn><mml:mspace /><mml:mtext>mK</mml:mtext></mml:mrow></mml:math></jats:alternatives></jats:inline-formula>, which we attribute to hyperfine splitting and crystal field interactions. RKKY and dipole–dipole interactions between the holmium atoms cause additional, concentration-dependent effects. With regard to ECHo, we conclude that for typical operating temperatures of<jats:inline-formula><jats:alternatives><jats:tex-math>$$T\le 20\,{{{\hbox {mK}}}}$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi>T</mml:mi><mml:mo>≤</mml:mo><mml:mn>20</mml:mn><mml:mspace /><mml:mtext>mK</mml:mtext></mml:mrow></mml:math></jats:alternatives></jats:inline-formula>, silver holmium alloys with<jats:inline-formula><jats:alternatives><jats:tex-math>$$x_{{{\text {Ho}}}}\gtrsim 1\%$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:msub><mml:mi>x</mml:mi><mml:mtext>Ho</mml:mtext></mml:msub><mml:mo>≳</mml:mo><mml:mn>1</mml:mn><mml:mo>%</mml:mo></mml:mrow></mml:math></jats:alternatives></jats:inline-formula>are suited best.</jats:p>
- Autoren
- Matthew Herbst
- Andreas Reifenberger
- Clemens Velte
- Holger Dorrer
- Christoph E Düllmann
- Christian Enss
- Andreas Fleischmann
- Loredana Gastaldo
- Sebastian Kempf
- Tom Kieck
- Ulli Köster
- Federica Mantegazzini
- Klaus Wendt
- DOI
- 10.1007/s10909-020-02531-1
- eISSN
- 1573-7357
- ISSN
- 0022-2291
- Ausgabe der Veröffentlichung
- 1-2
- Zeitschrift
- Journal of Low Temperature Physics
- Sprache
- en
- Online publication date
- 2020
- Paginierung
- 106 - 120
- Datum der Veröffentlichung
- 2021
- Status
- Published
- Herausgeber
- Springer Science and Business Media LLC
- Herausgeber URL
- http://dx.doi.org/10.1007/s10909-020-02531-1
- Datum der Datenerfassung
- 2022
- Titel
- Specific Heat of Holmium in Gold and Silver at Low Temperatures
- Ausgabe der Zeitschrift
- 202
Data source: Crossref
- Abstract
- The specific heat of dilute alloys of holmium in gold and in silver plays a major role in the optimization of low temperature microcalorimeters with enclosed $^{163}\textrm{Ho}$, such as the ones developed for the neutrino mass experiment ECHo. We investigate alloys with atomic concentrations of $x_\textrm{Ho}=0.01\,\% - 4\,\%$ at temperatures between $10\,\textrm{mK}$ and $800\,\textrm{mK}$. Due to the large total angular momentum $J=8$ and nuclear spin $I=7/2$ of $\textrm{Ho}^{3+}$ ions, the specific heat of $\underline{\textrm{Au}}\textrm{:Ho}$ and $\underline{\textrm{Ag}}\textrm{:Ho}$ depends on the detailed interplay of various interactions, including contributions from the localized 4f electrons and nuclear contributions via hyperfine splitting. This makes it difficult to accurately determine the specific heat of these materials numerically. Instead, we measure their specific heat by using three experimental set-ups optimized for different concentration and temperature ranges. The results from measurements on six holmium alloys demonstrate that the specific heat of these materials is dominated by a large Schottky anomaly with its maximum at $T\approx 250\,\textrm{mK}$, which we attribute to hyperfine splitting and crystal field interactions. RKKY and dipole-dipole interactions between the holmium atoms cause additional, concentration-dependent effects. With regard to ECHo, we conclude that for typical operating temperatures of $T\leq 20\,\textrm{mK}$, silver holmium alloys with $x_\textrm{Ho}\gtrsim 1\,\%$ are suited best.
- Autoren
- Matthew Herbst
- Andreas Reifenberger
- Clemens Velte
- Holger Dorrer
- Christoph E Düllmann
- Christian Enss
- Andreas Fleischmann
- Loredana Gastaldo
- Sebastian Kempf
- Tom Kieck
- Ulli Köster
- Federica Mantegazzini
- Klaus Wendt
- Autoren-URL
- http://arxiv.org/abs/1912.09354v3
- Zeitschrift
- J Low Temp Phys
- Schlüsselwörter
- cond-mat.mtrl-sci
- cond-mat.mtrl-sci
- Notes
- 15 pages, 4 figures. Replacement with small modifications after peer-review, no change to scientific content
- Paginierung
- 106 - 120
- Datum der Veröffentlichung
- 2019
- Herausgeber URL
- http://dx.doi.org/10.1007/s10909-020-02531-1
- Datum der Datenerfassung
- 2019
- Datum, an dem der Datensatz öffentlich gemacht wurde
- 2019
- Titel
- Specific Heat of Holmium in Gold and Silver at Low Temperatures
- Ausgabe der Zeitschrift
- 202
Files
1912.09354v3.pdf
Data source: arXiv
- Beziehungen:
- Property of