Studying Continuous Symmetry Breaking using Energy Level Spectroscopy
Strongly Correlated Electrons
2017-04-28 v1 Quantum Physics
Abstract
Tower of States analysis is a powerful tool for investigating phase transitions in condensed matter systems. Spontaneous symmetry breaking implies a specific structure of the energy eigenvalues and their corresponding quantum numbers on finite systems. In these lecture notes we explain the group representation theory used to derive the spectral structure for several scenarios of symmetry breaking. We give numerous examples to compute quantum numbers of the degenerate groundstates, including translational symmetry breaking or spin rotational symmetry breaking in Heisenberg antiferromagnets. These results are then compared to actual numerical data from Exact Diagonalization.
Cite
@article{arxiv.1704.08622,
title = {Studying Continuous Symmetry Breaking using Energy Level Spectroscopy},
author = {Alexander Wietek and Michael Schuler and Andreas M. Läuchli},
journal= {arXiv preprint arXiv:1704.08622},
year = {2017}
}
Comments
28 pages, 7 figures