Strong Correlation Effects on Surfaces of Topological Insulators via Holography

Abstract

We investigate effects of strong correlation on the surface state of topological insulator (TI). We argue that electrons in the regime of crossover from weak anti-localization to weak localization, are strongly correlated and calculate magneto-transport coefficients of TI using gauge gravity principle. Then, we examine, magneto-conductivity (MC) formula and find excellent agreement with the data of chrome doped Bi${}_2$Te${}_3$ in the crossover regime. We also find that cusp-like peak in MC at low doping is absent, which is natural since quasi-particles disappear due to the strong correlation.

5 pages, 6 figures, figure and reference added, discussion on the result added

References in corpus (8)

• Topological Field Theory of Time-Reversal Invariant Insulators
• Quantized Anomalous Hall Effect in Magnetic Topological Insulators
• Weak localisation magnetoresistance and valley symmetry in graphene
• Theory of the Nernst effect near quantum phase transitions in condensed matter, and in dyonic black holes
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• Mott transition with Holographic Spectral function
• Ginzberg-Landau-Wilson theory for Flat band, Fermi-arc and surface states of strongly correlated systems
• New black holes with hyperscaling violation and transports of quantum critical points with magnetic impurity
• Transport properties of a holographic model with novel gauge-axion coupling
• Random spin-orbit gates in the system of a Topological insulator and a Quantum dot
• Mean field theory for strongly coupled systems: Holographic approach
• Determination of Dynamical exponents of Graphene at quantum critical point by holography
• Impurity Effect on Hysteric Magnetoconductance: Holographic Approach
• The magnetic effect on strongly correlated system with two currents near the QCP from holography