The single-point Berry phase in condensed-matter physics

Abstract

The Berry phase plays an outstanding role in condensed-matter physics, where it provides the main entry for defining and computing a key observable: macroscopic electrical polarization. This phase obtains as a loop integral in reciprocal space, which has the topology of a torus. I show here that in some circumstances the loop may be contracted to a point, and polarization can be computed in practice from a single Hamiltonian diagonalization.

Document Details

Document Type
Pub Defense Publication
Publication Date
Dec 08, 2022
Source ID
10.1088/1751-8121/aca84b

Entities

People

  • Raffaele Resta

Organizations

  • Office of Naval Research

Tags

Fields of Study

  • Physics

Readers

  • Plasma Physics / Magnetohydrodynamics
  • Quantum spin resonance or Electron Paramagnetic Resonance spectroscopy.
  • Theoretical Analysis.

Technology Areas

  • Space