Effect of an Electric Field on a Split Bloch Band

Abstract

The effect of a constant and uniform electric field on a split Bloch band is studied through a tight binding model. The Wannier-Stark ladders of the parent band is modified by a potential in addition to that of the crystal. The frequency spectrum behaves as the field strength varies from weak to strong. In the case that the parent band is split into a finite number of sub-bands, there exists a set of subspaces to which the states return periodically in time, and that the constituent states of each subspace are localized around a given unit cell. A theoretical framework is developed which naturally exploits the symmetries of the system, and which allows for easy and clean numerical calculations.

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Document Details

Document Type
Technical Report
Publication Date
Jun 21, 1989
Accession Number
ADA209857

Entities

People

  • Qian Niu

Organizations

  • University of California, Santa Barbara

Tags

Communities of Interest

  • Advanced Electronics
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Abstracts
  • Band Structures
  • California
  • Differential Equations
  • Eigenvalues
  • Electric Fields
  • Energy Bands
  • Equations
  • Frequency
  • Physics
  • Schrodinger Equation
  • Solid State Physics
  • Spectra
  • Symmetry
  • Time Dependence
  • United States
  • Wave Functions

Readers

  • Quantum spin resonance or Electron Paramagnetic Resonance spectroscopy.