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Title: Thermoelectric DC conductivities in hyperscaling violating Lifshitz theories

We analytically compute the thermoelectric conductivities at zero frequency (DC) in the holographic dual of a four dimensional Einstein-Maxwell-Axion-Dilaton theory that admits a class of asymptotically hyperscaling violating Lifshitz backgrounds with a dynamical exponent z and hyperscaling violating parameter θ. We show that the heat current in the dual Lifshitz theory involves the energy flux, which is an irrelevant operator for z > 1. The linearized fluctuations relevant for computing the thermoelectric conductivities turn on a source for this irrelevant operator, leading to several novel and non-trivial aspects in the holographic renormalization procedure and the identification of the physical observables in the dual theory. Moreover, imposing Dirichlet or Neumann boundary conditions on the spatial components of one of the two Maxwell fields present leads to different thermoelectric conductivities. Thus, Dirichlet boundary conditions reproduce the thermoelectric DC conductivities obtained from the near horizon analysis of Donos and Gauntlett, while Neumann boundary conditions result in a new set of DC conductivities. We make preliminary analytical estimates for the temperature behavior of the thermoelectric matrix in appropriate regions of parameter space. In particular, at large temperatures we find that the only case which could lead to a linear resistivity ρ ~ T correspondsmore » to z = 4/3.« less
Authors:
 [1] ;  [2] ; ORCiD logo [3]
  1. Lehigh Univ., Bethlehem, PA (United States)
  2. Univ. of Pennsylvania, Philadelphia, PA (United States); Univ. of Maribor, Maribor (Slovenia)
  3. Korea Inst. for Advanced Study, Seoul (Korea)
Publication Date:
Grant/Contract Number:
SC0013528
Type:
Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2018; Journal Issue: 4; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Research Org:
Univ. of Pennsylvania, Philadelphia, PA (United States)
Sponsoring Org:
USDOE
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; Holography and condensed matter physics (AdS/CMT); AdS-CFT Correspondence; Black Holes; Gauge-gravity correspondence
OSTI Identifier:
1498541

Cremonini, Sera, Cvetič, Mirjam, and Papadimitriou, Ioannis. Thermoelectric DC conductivities in hyperscaling violating Lifshitz theories. United States: N. p., Web. doi:10.1007/jhep04(2018)099.
Cremonini, Sera, Cvetič, Mirjam, & Papadimitriou, Ioannis. Thermoelectric DC conductivities in hyperscaling violating Lifshitz theories. United States. doi:10.1007/jhep04(2018)099.
Cremonini, Sera, Cvetič, Mirjam, and Papadimitriou, Ioannis. 2018. "Thermoelectric DC conductivities in hyperscaling violating Lifshitz theories". United States. doi:10.1007/jhep04(2018)099. https://www.osti.gov/servlets/purl/1498541.
@article{osti_1498541,
title = {Thermoelectric DC conductivities in hyperscaling violating Lifshitz theories},
author = {Cremonini, Sera and Cvetič, Mirjam and Papadimitriou, Ioannis},
abstractNote = {We analytically compute the thermoelectric conductivities at zero frequency (DC) in the holographic dual of a four dimensional Einstein-Maxwell-Axion-Dilaton theory that admits a class of asymptotically hyperscaling violating Lifshitz backgrounds with a dynamical exponent z and hyperscaling violating parameter θ. We show that the heat current in the dual Lifshitz theory involves the energy flux, which is an irrelevant operator for z > 1. The linearized fluctuations relevant for computing the thermoelectric conductivities turn on a source for this irrelevant operator, leading to several novel and non-trivial aspects in the holographic renormalization procedure and the identification of the physical observables in the dual theory. Moreover, imposing Dirichlet or Neumann boundary conditions on the spatial components of one of the two Maxwell fields present leads to different thermoelectric conductivities. Thus, Dirichlet boundary conditions reproduce the thermoelectric DC conductivities obtained from the near horizon analysis of Donos and Gauntlett, while Neumann boundary conditions result in a new set of DC conductivities. We make preliminary analytical estimates for the temperature behavior of the thermoelectric matrix in appropriate regions of parameter space. In particular, at large temperatures we find that the only case which could lead to a linear resistivity ρ ~ T corresponds to z = 4/3.},
doi = {10.1007/jhep04(2018)099},
journal = {Journal of High Energy Physics (Online)},
number = 4,
volume = 2018,
place = {United States},
year = {2018},
month = {4}
}