Disentangling Orbital Magnetic Susceptibility with Wannier Functions

Abstract

Orbital magnetic susceptibility involves rich physics such as interband effects despite of its conceptual simplicity. In order to appreciate the rich physics related to the orbital magnetic susceptibility, it is essential to derive a formula to decompose the susceptibility into the contributions from each band. Here, we propose a scheme to perform this decomposition using the modified Wannier functions. The derived formula nicely decomposes the susceptibility into intraband and interband contributions, and from the other aspect, into itinerant and local contributions. The validity of the formula is tested in a couple of simple models. Interestingly, it is revealed that the quality of the decomposition depends on the degree of localization of the used Wannier functions. The formula here complements another formula using Bloch functions, or the formula derived in the semiclassical theory, which deepens our understanding of the orbital magnetic susceptibility and may serve as a foundation of a better computational method. The relationship to the Berry curvature in the present scheme is also clarified.

References in corpus (18)

• Maximally-localized generalized Wannier functions for composite energy bands
• Electron fractionalization in two-dimensional graphenelike structures
• Orbital diamagnetism in multilayer graphenes: Systematic study with the effective mass approximation
• From dia- to paramagnetic orbital susceptibility of Dirac cones
• Geometric orbital susceptibility: quantum metric without Berry curvature
• Topological phases and phase transitions on the square-octagon lattice
• Topological Properties of Electrons in Honeycomb Lattice with Kekulé Hopping Textures
• Orbital magnetism of coupled bands models
• Mirror winding number and helical edge modes in honeycomb lattice with hopping-energy texture
• Measurable lattice effects on the charge and magnetic response in graphene
• Unified Formalism for calculating Polarization, Magnetization, and more in a Periodic Insulator
• Orbital Magnetism of Bloch Electrons I. General Formula
• Giant orbital diamagnetism of three-dimensional Dirac electrons in Sr${}_3$PbO antiperovskite
• Fractionally Quantized Berry Phase, Adiabatic Continuation, and Edge States
• Universal Quantization of Magnetic Susceptibility Jump at Topological Phase Transition
• Orbital Magnetism of Bloch Electrons II. Application to Single-Band Models and Corrections to Landau-Peierls susceptibility
• Theory of Orbital Susceptibility in the Tight-Binding Model: Corrections to the Peierls Phase
• Characteristic singular behaviors of nodal line materials emerging in orbital magnetic susceptibility and Hall conductivity