Thermal diffusivity and chaos in metals without quasiparticles
We study the thermal diffusivity D[subscript T] in models of metals without quasiparticle excitations (“strange metals”). The many-body quantum chaos and transport properties of such metals can be efficiently described by a holographic representation in a gravitational theory in an emergent curved s...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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American Physical Society
2018
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| Online Access: | http://hdl.handle.net/1721.1/115538 |
| _version_ | 1826210974366957568 |
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| author | Davison, Richard A. Sachdev, Subir Blake, Michael Andrew |
| author2 | Massachusetts Institute of Technology. Center for Theoretical Physics |
| author_facet | Massachusetts Institute of Technology. Center for Theoretical Physics Davison, Richard A. Sachdev, Subir Blake, Michael Andrew |
| author_sort | Davison, Richard A. |
| collection | MIT |
| description | We study the thermal diffusivity D[subscript T] in models of metals without quasiparticle excitations (“strange metals”). The many-body quantum chaos and transport properties of such metals can be efficiently described by a holographic representation in a gravitational theory in an emergent curved spacetime with an additional spatial dimension. We find that at generic infrared fixed points D[subscript T] is always related to parameters characterizing many-body quantum chaos: the butterfly velocity v[subscript B] and Lyapunov time τ[subscript L] through D[subscript T]∼v[subscript B][superscript 2]τ[subscript L]. The relationship holds independently of the charge density, periodic potential strength, or magnetic field at the fixed point. The generality of this result follows from the observation that the thermal conductivity of strange metals depends only on the metric near the horizon of a black hole in the emergent spacetime and is otherwise insensitive to the profile of any matter fields. |
| first_indexed | 2024-09-23T14:58:24Z |
| format | Article |
| id | mit-1721.1/115538 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T14:58:24Z |
| publishDate | 2018 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/1155382022-09-29T11:49:15Z Thermal diffusivity and chaos in metals without quasiparticles Davison, Richard A. Sachdev, Subir Blake, Michael Andrew Massachusetts Institute of Technology. Center for Theoretical Physics Blake, Michael Andrew We study the thermal diffusivity D[subscript T] in models of metals without quasiparticle excitations (“strange metals”). The many-body quantum chaos and transport properties of such metals can be efficiently described by a holographic representation in a gravitational theory in an emergent curved spacetime with an additional spatial dimension. We find that at generic infrared fixed points D[subscript T] is always related to parameters characterizing many-body quantum chaos: the butterfly velocity v[subscript B] and Lyapunov time τ[subscript L] through D[subscript T]∼v[subscript B][superscript 2]τ[subscript L]. The relationship holds independently of the charge density, periodic potential strength, or magnetic field at the fixed point. The generality of this result follows from the observation that the thermal conductivity of strange metals depends only on the metric near the horizon of a black hole in the emergent spacetime and is otherwise insensitive to the profile of any matter fields. United States. Department of Energy (Grant DE-SC0012567) 2018-05-21T15:30:18Z 2018-05-21T15:30:18Z 2017-11 2017-09 2017-11-14T21:56:05Z Article http://purl.org/eprint/type/JournalArticle 2470-0010 2470-0029 http://hdl.handle.net/1721.1/115538 Blake, Mike et al. "Thermal diffusivity and chaos in metals without quasiparticles." Physical Review D 96, 10 (November 2017): 106008 © 2017 American Physical Society en http://dx.doi.org/10.1103/PhysRevD.96.106008 Physical Review D Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. American Physical Society application/pdf American Physical Society American Physical Society |
| spellingShingle | Davison, Richard A. Sachdev, Subir Blake, Michael Andrew Thermal diffusivity and chaos in metals without quasiparticles |
| title | Thermal diffusivity and chaos in metals without quasiparticles |
| title_full | Thermal diffusivity and chaos in metals without quasiparticles |
| title_fullStr | Thermal diffusivity and chaos in metals without quasiparticles |
| title_full_unstemmed | Thermal diffusivity and chaos in metals without quasiparticles |
| title_short | Thermal diffusivity and chaos in metals without quasiparticles |
| title_sort | thermal diffusivity and chaos in metals without quasiparticles |
| url | http://hdl.handle.net/1721.1/115538 |
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