Character of Matter in Holography: Spin-Orbit Interaction

Abstract

Gauge/Gravity duality as a theory of matter needs a systematic way to characterise a system. We suggest a `dimensional lifting' of the least irrelevant interaction to the bulk theory. As an example, we consider the spin-orbit interaction, which causes magneto-electric interaction term. We show that its lifting is an axionic coupling. We present an exact and analytic solution describing diamagnetic response. Experimental data on annealed graphite shows a remarkable similarity to our theoretical result. We also find an analytic formulas of DC transport coefficients, according to which, the anomalous Hall coefficient interpolates between the coherent metallic regime with ${\rho }_{xx}^2$ and incoherent metallic regime with ${\rho }_{xx}$ as we increase the disorder parameter $\beta$. The strength of the spin-orbit interaction also interpolates between the two scaling regimes.

15pages, 3 figures

References in corpus (7)

• Topological Insulators with Inversion Symmetry
• Quantum transport theory of anomalous electric, thermoelectric, and thermal Hall effects in ferromagnets
• Hall conductivity from dyonic black holes
• Fractional Quantum Hall Effect via Holography: Chern-Simons, Edge States, and Hierarchy
• Baryon Number-Induced Chern-Simons Couplings of Vector and Axial-Vector Mesons in Holographic QCD
• Coherent/incoherent metal transition in a holographic model
• Holographic End-Point of Spatially Modulated Phase Transition

Cited by in corpus (14)

• Holographic Axion Model: a simple gravitational tool for quantum matter
• Holography of the Dirac Fluid in Graphene with two currents
• Quasi-normal modes of dyonic black holes and magneto-hydrodynamics
• Strong Correlation Effects on Surfaces of Topological Insulators via Holography
• Ward Identity and Homes' Law in a Holographic Superconductor with Momentum Relaxation
• Small Fermi Surfaces and Strong Correlation Effects in Dirac Materials with Holography
• Holography without counter terms
• 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
• Thermodynamics, magnetic properties, and global $U(1)$ symmetry breaking of the S-type Gubser-Rocha model
• Impurity-Driven Metal-Insulator Transitions in Holography
• Building Magnetic Hysteresis in Holography
• Interaction induced quasi-particle spectrum and the origin of the pinning peak in holography
• Impurity Effect on Hysteric Magnetoconductance: Holographic Approach