Holographic non-Fermi-liquid fixed points

Techniques arising from string theory can be used to study assemblies of strongly interacting fermions. Via this ‘holographic duality’, various strongly coupled many-body systems are solved using an auxiliary theory of gravity. Simple holographic realizations of finite density exhibit single-particl...

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Main Authors: Faulkner, Thomas, Iqbal, Nabil, Liu, Hong, McGreevy, John, Vegh, David
Other Authors: Massachusetts Institute of Technology. Center for Theoretical Physics
Format: Article
Language:en_US
Published: Royal Society, The 2012
Online Access:http://hdl.handle.net/1721.1/71268
https://orcid.org/0000-0002-4911-3183
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author Faulkner, Thomas
Iqbal, Nabil
Liu, Hong
McGreevy, John
Vegh, David
author2 Massachusetts Institute of Technology. Center for Theoretical Physics
author_facet Massachusetts Institute of Technology. Center for Theoretical Physics
Faulkner, Thomas
Iqbal, Nabil
Liu, Hong
McGreevy, John
Vegh, David
author_sort Faulkner, Thomas
collection MIT
description Techniques arising from string theory can be used to study assemblies of strongly interacting fermions. Via this ‘holographic duality’, various strongly coupled many-body systems are solved using an auxiliary theory of gravity. Simple holographic realizations of finite density exhibit single-particle spectral functions with sharp Fermi surfaces, of a form distinct from those of the Landau theory. The self-energy is given by a correlation function in an infrared (IR) fixed-point theory that is represented by a two-dimensional anti de Sitter space (AdS2) region in the dual gravitational description. Here, we describe in detail the gravity calculation of this IR correlation function.
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spelling mit-1721.1/712682022-09-28T11:26:29Z Holographic non-Fermi-liquid fixed points Faulkner, Thomas Iqbal, Nabil Liu, Hong McGreevy, John Vegh, David Massachusetts Institute of Technology. Center for Theoretical Physics Massachusetts Institute of Technology. Department of Physics McGreevy, John Iqbal, Nabil Liu, Hong McGreevy, John Techniques arising from string theory can be used to study assemblies of strongly interacting fermions. Via this ‘holographic duality’, various strongly coupled many-body systems are solved using an auxiliary theory of gravity. Simple holographic realizations of finite density exhibit single-particle spectral functions with sharp Fermi surfaces, of a form distinct from those of the Landau theory. The self-energy is given by a correlation function in an infrared (IR) fixed-point theory that is represented by a two-dimensional anti de Sitter space (AdS2) region in the dual gravitational description. Here, we describe in detail the gravity calculation of this IR correlation function. United States. Dept. of Energy (cooperative research agreement DE-FG0205ER41360) National Science Foundation (U.S.) (grant NSF PHY05-51164) Alfred P. Sloan Foundation 2012-06-29T17:34:59Z 2012-06-29T17:34:59Z 2011-04 Article http://purl.org/eprint/type/JournalArticle 1471-2962 http://hdl.handle.net/1721.1/71268 Faulkner, T. et al. “Holographic non-Fermi-liquid fixed points.” Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 369.1941 (2011): 1640-1669. 21422019 https://orcid.org/0000-0002-4911-3183 en_US http://dx.doi.org/10.1098/rsta.2010.0354 Philosophical Transactions of The Royal Society A Mathematical Physical and Engineering Sciences Creative Commons Attribution-Noncommercial-Share Alike 3.0 http://creativecommons.org/licenses/by-nc-sa/3.0/ application/pdf Royal Society, The Prof. McGreevy via Mat Willmott
spellingShingle Faulkner, Thomas
Iqbal, Nabil
Liu, Hong
McGreevy, John
Vegh, David
Holographic non-Fermi-liquid fixed points
title Holographic non-Fermi-liquid fixed points
title_full Holographic non-Fermi-liquid fixed points
title_fullStr Holographic non-Fermi-liquid fixed points
title_full_unstemmed Holographic non-Fermi-liquid fixed points
title_short Holographic non-Fermi-liquid fixed points
title_sort holographic non fermi liquid fixed points
url http://hdl.handle.net/1721.1/71268
https://orcid.org/0000-0002-4911-3183
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