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Non-mean-field quantum critical points from holography

Non-mean-field quantum critical points from holography
Non-mean-field quantum critical points from holography
We construct a class of quantum critical points with non-mean-field critical exponents via holography. Our approach is phenomenological. Beginning with the D3/D5 system at nonzero density and magnetic field which has a chiral phase transition, we simulate the addition of a third control parameter. We then identify a line of quantum critical points in the phase diagram of this theory, provided that the simulated control parameter has dimension less than two. This line smoothly interpolates between a second-order transition with mean-field exponents at zero magnetic field to a holographic Berezinskii-Kosterlitz-Thouless transition at larger magnetic fields. The critical exponents of these transitions only depend upon the parameters of an emergent infrared theory. Moreover, the non-mean-field scaling is destroyed at any nonzero temperature. We discuss how generic these transitions are.
1550-7998
105012-[15pp]
Evans, Nick
33dfbb52-64dd-4c1f-9cd1-074faf2be4b3
Jensen, Kristan
1aa6bec5-5b04-4014-b008-ace89ed2884c
Kim, Keun-Young
45194302-dffc-4cf6-85f2-55bec8f574fb
Evans, Nick
33dfbb52-64dd-4c1f-9cd1-074faf2be4b3
Jensen, Kristan
1aa6bec5-5b04-4014-b008-ace89ed2884c
Kim, Keun-Young
45194302-dffc-4cf6-85f2-55bec8f574fb

Evans, Nick, Jensen, Kristan and Kim, Keun-Young (2010) Non-mean-field quantum critical points from holography. Physical Review D, 82 (10), 105012-[15pp]. (doi:10.1103/PhysRevD.82.105012).

Record type: Article

Abstract

We construct a class of quantum critical points with non-mean-field critical exponents via holography. Our approach is phenomenological. Beginning with the D3/D5 system at nonzero density and magnetic field which has a chiral phase transition, we simulate the addition of a third control parameter. We then identify a line of quantum critical points in the phase diagram of this theory, provided that the simulated control parameter has dimension less than two. This line smoothly interpolates between a second-order transition with mean-field exponents at zero magnetic field to a holographic Berezinskii-Kosterlitz-Thouless transition at larger magnetic fields. The critical exponents of these transitions only depend upon the parameters of an emergent infrared theory. Moreover, the non-mean-field scaling is destroyed at any nonzero temperature. We discuss how generic these transitions are.

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Published date: 15 November 2010
Organisations: Physics & Astronomy

Identifiers

Local EPrints ID: 337320
URI: https://eprints.soton.ac.uk/id/eprint/337320
ISSN: 1550-7998
PURE UUID: 864d20f7-00ee-4728-99c3-b8ae61367121

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Date deposited: 24 Apr 2012 10:27
Last modified: 18 Jul 2017 06:03

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