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
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
16 April 2021
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).
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.
Text
Fadafan2021_Article_AWeylSemimetalFromAdSCFTWithFl (1)
More information
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
Catalogue record
Date deposited: 11 Dec 2021 11:28
Last modified: 15 Apr 2024 17:11
Export record
Altmetrics
Contributors
Author:
Kazem Bitaghsir Fadafan
Author:
Ronald Rodgers
Author:
Matthew, James Russell
Download statistics
Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.
View more statistics