Gravity dual of a quantum Hall plateau transition

被引:77
作者
Davis, Joshua L. [1 ]
Kraus, Per [1 ]
Shah, Akhil [1 ]
机构
[1] Univ Calif Los Angeles, Dept Phys & Astron, Los Angeles, CA 90095 USA
来源
JOURNAL OF HIGH ENERGY PHYSICS | 2008年 / 11期
基金
美国国家科学基金会;
关键词
Field Theories in Lower Dimensions; Gauge-gravity correspondence; Intersecting branes models; AdS-CFT Correspondence;
D O I
10.1088/1126-6708/2008/11/020
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
We show how to model the transition between distinct quantum Hall plateaus in terms of D-branes in string theory. A low energy theory of 2 + 1 dimensional fermions is obtained by considering the D3-D7 system, and the plateau transition corresponds to moving the branes through one another. We study the transition at strong coupling using gauge/gravity duality and the probe approximation. Strong coupling leads to a novel kind of plateau transition: at low temperatures the transition remains discontinuous due to the effects of dynamical symmetry breaking and mass generation, and at high temperatures is only partially smoothed out.
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页数:25
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共 86 条
[1]  
ADAMS A, ARXIV08071111
[2]   A holographic model of deconfinement and chiral symmetry restoration [J].
Aharony, Ofer ;
Sonnenschein, Jacob ;
Yankielowicz, Shimon .
ANNALS OF PHYSICS, 2007, 322 (06) :1420-1443
[3]   Topology-changing first order phase transition and the dynamics of flavor [J].
Albash, Tameem ;
Filev, Veselin ;
Johnson, Clifford V. ;
Kundu, Arnab .
PHYSICAL REVIEW D, 2008, 77 (06)
[4]   A holographic superconductor in an external magnetic field [J].
Albash, Tameem ;
Johnson, Clifford V. .
JOURNAL OF HIGH ENERGY PHYSICS, 2008, (09)
[5]   Quarks in an external electric field in finite temperature large N gauge theory [J].
Albash, Tameem ;
Filev, Veselin ;
Johnson, Clifford V. ;
Kundu, Arnab .
JOURNAL OF HIGH ENERGY PHYSICS, 2008, (08)
[6]   Finite temperature large N gauge theory with quarks in an external magnetic field [J].
Albash, Tameem ;
Filev, Veselin ;
Johnson, Clifford V. ;
Kundu, Arnab .
JOURNAL OF HIGH ENERGY PHYSICS, 2008, (07)
[7]   The Gross-Neveu model from string theory [J].
Antonyan, E. ;
Harvey, J. A. ;
Kutasov, D. .
NUCLEAR PHYSICS B, 2007, 776 (1-2) :93-117
[8]  
ANTONYAN E, HEPTH0604017
[9]   Chiral symmetry breaking and pions in nonsupersymmetric gauge/gravity duals [J].
Babington, J ;
Erdmenger, J ;
Evans, N ;
Guralnik, Z ;
Kirsch, I .
PHYSICAL REVIEW D, 2004, 69 (06) :13
[10]   Gravity duals for nonrelativistic conformal field theories [J].
Balasubramanian, Koushik ;
McGreevy, John .
PHYSICAL REVIEW LETTERS, 2008, 101 (06)