# Locality of the windowed local density of states

@inproceedings{Loring2021LocalityOT, title={Locality of the windowed local density of states}, author={Terry A. Loring and Jianfeng Lu and Alexander B. Watson}, year={2021} }

We introduce a generalization of local density of states which is “windowed” with respect to position and energy, called the windowed local density of states (wLDOS). This definition generalizes the usual LDOS in the sense that the usual LDOS is recovered in the limit where the position window captures individual sites and the energy window is a delta distribution. We prove that the wLDOS is local in the sense that it can be computed up to arbitrarily small error using spatial truncations of…

## Figures from this paper

## 2 Citations

Estimating bulk and edge topological indices in finite open chiral chains

- Physics
- 2022

We develop a formalism to extend, simultaneously, the usual deﬁnition of bulk and edge indices from topological insulators to the case of a ﬁnite sample with open boundary conditions, and provide a…

The noncommutative geometry of the Landau Hamiltonian: differential aspects

- MathematicsJournal of Physics A: Mathematical and Theoretical
- 2021

In this work we study the differential aspects of the noncommutative geometry for the magnetic C*-algebra which is a 2-cocycle deformation of the group C*-algebra of R2 . This algebra is intimately…

## References

SHOWING 1-10 OF 25 REFERENCES

Bulk spectrum and K-theory for infinite-area topological quasicrystals

- MathematicsJournal of Mathematical Physics
- 2019

The bulk spectrum of a possible Chern insulator on a quasicrystalline lattice is examined. The effect of being a 2D insulator seems to override any fractal properties in the spectrum. We compute that…

A Short Course on Topological Insulators: Band-structure topology and edge states in one and two dimensions

- Physics
- 2016

This course-based primer provides newcomers to the field with a concise introduction to some of the core topics in the emerging field of topological band insulators in one and two dimensions. The aim…

Periodic table for topological insulators and superconductors

- Physics, Mathematics
- 2009

Gapped phases of noninteracting fermions, with and without charge conservation and time-reversal symmetry, are classified using Bott periodicity. The symmetry and spatial dimension determines a…

Approximating Spectral Densities of Large Matrices

- Mathematics, PhysicsSIAM Rev.
- 2016

The problem of estimating the spectral density carefully is defined and how to measure the accuracy of an approximate spectral density is discussed, which is generally costly and wasteful, especially for matrices of large dimension.

Nonstandard symmetry classes in mesoscopic normal-superconducting hybrid structures

- Physics
- 1997

Normal-conducting mesoscopic systems in contact with a superconductor are classified by the symmetry operations of time reversal and rotation of the electron’s spin. Four symmetry classes are…

Twistronics: Manipulating the electronic properties of two-dimensional layered structures through their twist angle

- Materials Science
- 2017

The ability in experiments to control the relative twist angle between successive layers in two-dimensional (2D) materials offers an approach to manipulating their electronic properties; we refer to…

Electronic Density of States for Incommensurate Layers

- PhysicsMultiscale Model. Simul.
- 2017

We prove that the electronic density of states (DOS) for 2D incommensurate layered structures, where Bloch theory does not apply, is well-defined as the thermodynamic limit of finite clusters. In…

Incommensurate Heterostructures in Momentum Space

- PhysicsMultiscale Model. Simul.
- 2018

This work presents an analogous scheme formulated in momentum space, which it is proved has significant computational advantages in specific incommensurate systems of physical interest, e.g., bilayers of a specified class of materials with small rotation angles.