期刊
JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 2, 页码 -出版社
SPRINGER
DOI: 10.1007/JHEP02(2017)138
关键词
AdS-CFT Correspondence; Anomalies in Field and String Theories; Holography and condensed matter physics (AdS/CMT)
资金
- Centro de Excelencia Severo Ochoa Programme [SEV-2012-0249]
- Fundacion La Caixa under\La Caixa Severo Ochoa international predoctoral grant
- [FPA2015-65480-P]
- [SEV-2012-0249-03]
The holographic Weyl semimetal is a model of a strongly coupled topological semi-metal. A topological quantum phase transition separates a topological phase with non-vanishing anomalous Hall conductivity from a trivial state. We investigate how this phase transition depends on the parameters of the scalar potential (mass and quartic self coupling) finding that the quantum phase transition persists for a large region in parameter space. We then compute the axial Hall conductivity. The algebraic structure of the axial anomaly predicts it to be 1 / 3 of the electric Hall conductivity. We find that this holds once a non-trivial renormalization effect on the external axial gauge fields is taken into account. Finally we show that the phase transition also occurs in a top-down model based on a consistent truncation of type IIB supergravity.
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