Asymmetric transport computations in Dirac models of topological insulators
From MaRDI portal
Publication:6158106
DOI10.1016/j.jcp.2023.112151arXiv2206.08847OpenAlexW4366525247MaRDI QIDQ6158106
Jeremy G. Hoskins, Guillaume Bal, Zhongjian Wang
Publication date: 31 May 2023
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2206.08847
Green's functionscattering matrixintegral formulationdivide-and-conquer algorithmasymmetric transport in topological insulatorsDirac operators with linear domain wall
Numerical linear algebra (65Fxx) Numerical methods for partial differential equations, boundary value problems (65Nxx) Applications of statistical mechanics to specific types of physical systems (82Dxx)
Related Items
Topology of 2D Dirac operators with variable mass and an application to shallow-water waves, Semiclassical Propagation Along Curved Domain Walls
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Bulk and boundary invariants for complex topological insulators. From \(K\)-theory to physics
- High-order boundary integral equation solution of high frequency wave scattering from obstacles in an unbounded linearly stratified medium
- A direct solver for variable coefficient elliptic PDEs discretized via a composite spectral collocation method
- An \(O(N)\) algorithm for constructing the solution operator to 2D elliptic boundary value problems in the absence of body loads
- A fast direct solver for a class of elliptic partial differential equations
- A direct solver with \(O(N)\) complexity for integral equations on one-dimensional domains
- A direct solver for elliptic PDEs in three dimensions based on hierarchical merging of Poincaré-Steklov operators
- On the point spectrum of Dirac operators
- Elliptic operators with honeycomb symmetry: Dirac points, edge states and applications to photonic graphene
- Equality of bulk and edge Hall conductance revisited
- Topological protection of perturbed edge states
- A parallel shared-memory implementation of a high-order accurate solution technique for variable coefficient Helmholtz problems
- Microlocal analysis of the bulk-edge correspondence
- The ultraspherical spectral element method
- Edge states and the valley Hall effect
- A spectrally accurate direct solution technique for frequency-domain scattering problems with variable media
- Wave propagation and time reversal in randomly layered media.
- An \(O(N)\) direct solver for integral equations on the plane
- Equality of the bulk and edge Hall conductances in a mobility gap
- Schrödinger semigroups
- On the numerical solution of two-point boundary value problems
- A Fast Adaptive Numerical Method for Stiff Two-Point Boundary Value Problems
- Simultaneous quantization of edge and bulk Hall conductivity
- Topological origin of equatorial waves
- Topological Phases of Matter
- Topological invariants for interface modes
- The Transfer-Matrix Method in Electromagnetics and Optics
- Continuous bulk and interface description of topological insulators
- A Recursive Skeletonization Factorization Based on Strong Admissibility
- Multiscale Invariants of Floquet Topological Insulators
- Linear integral equations
- Computing spectral properties of topological insulators without artificial truncation or supercell approximation
