Exploring ideas in topological quantum phenomena: A journey through the SSH model
Mesoscale and Nanoscale Physics
2021-08-04 v1 Materials Science
Other Condensed Matter
Abstract
Geared as an invitation for undergraduates, beginning graduate students, we present a pedagogical introduction to one-dimensional topological phases -- in particular the Su-Schrieffer-Heeger model. In the process, we delve upon ideas of entanglement using the correlator method and the von-Neumann density-matrix method, geometric phase, polarization, transport signatures and the role of electron-electron interactions. Through hands-on numerical experiments, whose are shared, we try to drive home the message why a program of simulating quantum electronics with topological toy models is the store house for discovering fantastic physics ideas.
Cite
@article{arxiv.2108.01460,
title = {Exploring ideas in topological quantum phenomena: A journey through the SSH model},
author = {Anantha Hegde and Adarsh Kumar and Adhip Agarwala and Bhaskaran Muralidharan},
journal= {arXiv preprint arXiv:2108.01460},
year = {2021}
}
Comments
Pedagogical Article, 68 pages, 24 figures