Universal Quantization of Magnetic Susceptibility Jump at Topological Phase Transition
arXiv:2004.09712 · doi:10.1103/PhysRevResearch.3.013058
Abstract
We examine the magnetic susceptibility of topological insulators microscopically and find that the orbital-Zeeman (OZ) cross term, the cross term between the orbital effect and the spin Zeeman effect, is directly related to the Berry curvature when the -component of spin is conserved. In particular, the OZ cross term reflects the spin Chern number, which results in the quantization of the magnetic susceptibility jump at the topological phase transition. The magnitude of the jump is in units of the universal value . The physical origin of this quantization is clarified. We also apply the obtained formula to an explicit model and demonstrate the quantization.
References in corpus (37)
- Quantum Spin Hall Effect in Graphene
- Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
- Topological Order and the Quantum Spin Hall Effect
- Quantum Spin Hall Insulator State in HgTe Quantum Wells
- Berry Phase Effects on Electronic Properties
- Topological Insulators with Inversion Symmetry
- A topological Dirac insulator in a quantum spin Hall phase : Experimental observation of first strong topological insulator
- Quantum Spin Hall Effect in Silicene
- Quantum Spin Hall Effect
- Low-energy effective Hamiltonian involving spin-orbit coupling in Silicene and Two-Dimensional Germanium and Tin
- Wave-packet dynamics in slowly perturbed crystals: Gradient corrections and Berry-phase effects
- Electronic structure of silicon-based nanostructures
- Evidence for Helical Edge Modes in Inverted InAs/GaSb Quantum Wells
- Nonlocal edge state transport in the quantum spin Hall state
- Topological Insulator and Helical Zero Mode in Silicene under Inhomogeneous Electric Field
- Quantum Spin Hall Effect and Enhanced Magnetic Response by Spin-Orbit Coupling
- Berry phase correction to electron density of states in solids
- Orbital magnetization in periodic insulators
- Orbital magnetization in crystalline solids: Multi-band insulators, Chern insulators, and metals
- Spin polarization of the quantum spin Hall edge states
- Quantum Theory of Orbital Magnetization and its Generalization to Interacting Systems
- Anomalous orbital magnetism in Dirac-electron systems: Role of pseudo-spin paramagnetism
- Perfect Andreev Reflection of Helical Edge Modes in InAs/GaSb Quantum Wells
- Geometric orbital susceptibility: quantum metric without Berry curvature
- Theory of Orbital Magnetization in Solids
- Anomalous Orbital Magnetism and Hall Effect of Massless Fermions in Two Dimension
- Magnetic susceptibility in three-dimensional nodal semimetals
- Orbital magnetism of coupled bands models
- Measurable lattice effects on the charge and magnetic response in graphene
- Topological Phase Transition and Electrically Tunable Diamagnetism in Silicene
- Orbital Magnetism of Bloch Electrons I. General Formula
- Spin and Orbital Magnetic Response on the Surface of a Topological Insulator
- Streda-like formula in spin Hall effect
- Anomalous Hall Effect and Spontaneous Orbital Magnetization in Antiferromagnetic Weyl Metal
- Orbital Magnetism of Bloch Electrons III. Application to Graphene
- Crossed responses of spin and orbital magnetism in topological insulators
- Long-range Coulomb interaction effects on the surface Dirac electron system of a three-dimensional topological insulator
Cited by in corpus (8)
- Spin-orbital magnetic response of relativistic fermions with band hybridization
- Anomalous Spin Transport Properties of Gapped Dirac Electrons with Tilting
- Topological contribution to magnetism in the Kane-Mele model: An explicit wave function approach
- Characteristic singular behaviors of nodal line materials emerging in orbital magnetic susceptibility and Hall conductivity
- Disentangling Orbital Magnetic Susceptibility with Wannier Functions
- Dirac bilinears in condensed matter physics: Relativistic correction for observables and conjugate electromagnetic fields
- Orbital dynamics in 2D topological and Chern insulators
- Nodal-line semimetal HMTSF-TCNQ: Anomalous orbital diamagnetism and charge density wave