New black holes with hyperscaling violation for the transports of quantum critical points with magnetic impurity

A bstract We consider the magneto-transports of quantum matters doped with magnetic impurities near the quantum critical points (QCP). For this, we first find new black hole solution with hyper-scaling violation which is dual to such system. By considering the fluctuation near this exact solution, w...

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Bibliographic Details
Published in:The journal of high energy physics 2020-06, Vol.2020 (6), p.1-34, Article 128
Main Authors: Ge, Xian-Hui, Seo, Yunseok, Sin, Sang-Jin, Song, Geunho
Format: Article
Language:English
Subjects:
Bismuth tellurides
Black holes
Black Holes in String Theory
Classical and Quantum Gravitation
Critical point
Crossovers
Elementary Particles
Exact solutions
High energy physics
Holography and condensed matter physics (AdS/CMT)
Impurities
Localization
Mathematical analysis
Phase transitions
Physical properties
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
String Theory
Transport properties
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Summary:A bstract We consider the magneto-transports of quantum matters doped with magnetic impurities near the quantum critical points (QCP). For this, we first find new black hole solution with hyper-scaling violation which is dual to such system. By considering the fluctuation near this exact solution, we calculated all transport coefficients using the holographic method. We applied our result to the surface state of the topological insulator with magnetic doping and found two QCP’s, one bosonic and the other fermionic. It turns out that doped Bi 2 Se 3 and Bi 2 Te 3 correspond to different QCP’s. We also investigated transports of QCP’s as functions of physical parameters and found that there are phase transitions as well as crossovers from weak localization to weak anti-localization.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP06(2020)128