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A Weyl semimetal from AdS/CFT with flavour

A Weyl semimetal from AdS/CFT with flavour
A Weyl semimetal from AdS/CFT with flavour
We construct a top-down holographic model of Weyl semimetal states using (3 + 1)-dimensional N = 4 supersymmetric SU(Nc) Yang-Mills theory, at large Nc and strong coupling, coupled to a number Nf ≪ Nc of N = 2 hypermultiplets with mass m. A U(1) subgroup of the R-symmetry acts on the hypermultiplet fermions as an axial symmetry. In the presence of a constant external axial gauge field in a spatial direction, b, we find the defining characteristic of a Weyl semi-metal: a quantum phase transition as m/b increases, from a topological state with non-zero anomalous Hall conductivity to a trivial insulator. The transition is first order. Remarkably, the anomalous Hall conductivity is independent of the hypermultiplet mass, taking the value dictated by the axial anomaly. At non-zero temperature the transition remains first order, and the anomalous Hall conductivity acquires non-trivial dependence on the hypermultiplet mass and temperature.
AdS-CFT Correspondence, Gauge-gravity correspondence, Holography and condensed matter physics (AdS/CMT), Topological States of Matter
1029-8479
Fadafan, Kazem Bitaghsir
09897b8e-7f1c-4303-8b67-e869811f9716
O'bannon, Andrew
f0c14b6c-5b74-4319-8432-f9eba1e20cf3
Rodgers, Ronald
50624100-db56-478e-9b46-0db869df1020
Russell, Matthew, James
75f6d7b8-3063-4d64-ae1a-52be0bb4ad3b
Fadafan, Kazem Bitaghsir
09897b8e-7f1c-4303-8b67-e869811f9716
O'bannon, Andrew
f0c14b6c-5b74-4319-8432-f9eba1e20cf3
Rodgers, Ronald
50624100-db56-478e-9b46-0db869df1020
Russell, Matthew, James
75f6d7b8-3063-4d64-ae1a-52be0bb4ad3b

Fadafan, Kazem Bitaghsir, O'bannon, Andrew, Rodgers, Ronald and Russell, Matthew, James (2021) A Weyl semimetal from AdS/CFT with flavour. Journal of High Energy Physics, 2021 (4), [162]. (doi:10.1007/JHEP04(2021)162).

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Abstract

We construct a top-down holographic model of Weyl semimetal states using (3 + 1)-dimensional N = 4 supersymmetric SU(Nc) Yang-Mills theory, at large Nc and strong coupling, coupled to a number Nf ≪ Nc of N = 2 hypermultiplets with mass m. A U(1) subgroup of the R-symmetry acts on the hypermultiplet fermions as an axial symmetry. In the presence of a constant external axial gauge field in a spatial direction, b, we find the defining characteristic of a Weyl semi-metal: a quantum phase transition as m/b increases, from a topological state with non-zero anomalous Hall conductivity to a trivial insulator. The transition is first order. Remarkably, the anomalous Hall conductivity is independent of the hypermultiplet mass, taking the value dictated by the axial anomaly. At non-zero temperature the transition remains first order, and the anomalous Hall conductivity acquires non-trivial dependence on the hypermultiplet mass and temperature.

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Accepted/In Press date: 16 March 2021
Published date: 16 April 2021
Additional Information: Publisher Copyright: © 2021, The Author(s). Copyright: Copyright 2021 Elsevier B.V., All rights reserved.
Keywords: AdS-CFT Correspondence, Gauge-gravity correspondence, Holography and condensed matter physics (AdS/CMT), Topological States of Matter

Identifiers

Local EPrints ID: 452601
URI: http://eprints.soton.ac.uk/id/eprint/452601
ISSN: 1029-8479
PURE UUID: bbbd346b-0cd0-420d-9223-1c4ff901ab72
ORCID for Andrew O'bannon: ORCID iD orcid.org/0000-0001-7862-783X
ORCID for Ronald Rodgers: ORCID iD orcid.org/0000-0002-4826-6540

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Date deposited: 11 Dec 2021 11:28
Last modified: 25 Jun 2022 01:48

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Contributors

Author: Kazem Bitaghsir Fadafan
Author: Andrew O'bannon ORCID iD
Author: Ronald Rodgers ORCID iD
Author: Matthew, James Russell

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