skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Band connectivity for topological quantum chemistry: Band structures as a graph theory problem

Authors:
; ; ; ; ; ; ;
Publication Date:
Sponsoring Org.:
USDOE
OSTI Identifier:
1417066
Grant/Contract Number:
de-sc0016239
Resource Type:
Journal Article: Publisher's Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 97; Journal Issue: 3; Related Information: CHORUS Timestamp: 2018-01-16 10:13:11; Journal ID: ISSN 2469-9950
Publisher:
American Physical Society
Country of Publication:
United States
Language:
English

Citation Formats

Bradlyn, Barry, Elcoro, L., Vergniory, M. G., Cano, Jennifer, Wang, Zhijun, Felser, C., Aroyo, M. I., and Bernevig, B. Andrei. Band connectivity for topological quantum chemistry: Band structures as a graph theory problem. United States: N. p., 2018. Web. doi:10.1103/PhysRevB.97.035138.
Bradlyn, Barry, Elcoro, L., Vergniory, M. G., Cano, Jennifer, Wang, Zhijun, Felser, C., Aroyo, M. I., & Bernevig, B. Andrei. Band connectivity for topological quantum chemistry: Band structures as a graph theory problem. United States. doi:10.1103/PhysRevB.97.035138.
Bradlyn, Barry, Elcoro, L., Vergniory, M. G., Cano, Jennifer, Wang, Zhijun, Felser, C., Aroyo, M. I., and Bernevig, B. Andrei. Tue . "Band connectivity for topological quantum chemistry: Band structures as a graph theory problem". United States. doi:10.1103/PhysRevB.97.035138.
@article{osti_1417066,
title = {Band connectivity for topological quantum chemistry: Band structures as a graph theory problem},
author = {Bradlyn, Barry and Elcoro, L. and Vergniory, M. G. and Cano, Jennifer and Wang, Zhijun and Felser, C. and Aroyo, M. I. and Bernevig, B. Andrei},
abstractNote = {},
doi = {10.1103/PhysRevB.97.035138},
journal = {Physical Review B},
number = 3,
volume = 97,
place = {United States},
year = {Tue Jan 16 00:00:00 EST 2018},
month = {Tue Jan 16 00:00:00 EST 2018}
}

Journal Article:
Free Publicly Available Full Text
This content will become publicly available on January 16, 2019
Publisher's Accepted Manuscript

Citation Metrics:
Cited by: 1work
Citation information provided by
Web of Science

Save / Share:
  • Cited by 3
  • Cited by 1
  • In this paper an alternative definition of topological quantum field theory in 2 + 1 dimensions is discussed. The fundamental objects in this approach are not gauge fields as in the usual approach, but nonlocal observables associated with graphs. The classical theory of graphs is defined by postulating a simple diagrammatic rule for computing the Poisson bracket of any two graphs. The theory is quantized by exhibiting a quantum deformation of the classical Poisson-bracket algebra, which is realized as a commutator algebra on a Hilbert space of states. The wave functions in this graph representation approach are functionals on anmore » appropriate set of graphs. This is in contrast to the usual connection representation approach, in which the theory is defined in therms of a gauge field and the wave functions are functionals on the space of flat spatial connections modulo gauge transformations.« less
  • A theoretical analysis of the many-body effects in the band-edge absorption spectra of highly excited type-I and type-II semiconductor quantum-well structures is presented. The situation of a homogeneous electron-hole plasma in a usual type-I structure is compared and contrasted to the situation in a type-II structure, where the electron and hole plasmas are spatially separated into adjacent layers. The plasma effects are determined through numerical solutions of a generalized Wannier equation, which accounts for dynamical exchange and screening effects as well as Pauli blocking. In the description of dynamical screening, an alternative to the so-called Shindo approximation is developed. Themore » induced electric-field effects in the type-II systems are investigated by solving the coupled Schroedinger and Poisson equations for the charge carriers.« less