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Title: Numerical study of localization of Dirac fermions on a lattice in two dimensions

Abstract

We studied the effects of impurities on Dirac fermions numerically. We used a tight-binding Hamiltonian of fermions with the magentic flux equal to [pi] per plaquette for the model. A small amount of strong impurities create states near the zero energy and strong localization of these states is observed. Our results support a recent proposal of localization effects in a gapless [ital d]-wave superconductor.

Authors:
;  [1]
  1. Department of Physics, Massachusetts Institute of Technology, 77 Massachusetts Avenue, Cambridge, Massachusetts 02139 (United States)
Publication Date:
OSTI Identifier:
6324970
Resource Type:
Journal Article
Journal Name:
Physical Review, B: Condensed Matter; (United States)
Additional Journal Information:
Journal Volume: 48:6; Journal ID: ISSN 0163-1829
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; HIGH-TC SUPERCONDUCTORS; IMPURITIES; CRYSTAL LATTICES; D WAVES; FERMIONS; MAGNETIC FLUX; NUMERICAL SOLUTION; TWO-DIMENSIONAL CALCULATIONS; CRYSTAL STRUCTURE; PARTIAL WAVES; SUPERCONDUCTORS; 665400* - Quantum Physics Aspects of Condensed Matter- (1992-)

Citation Formats

Hatsugai, Y, and Lee, P A. Numerical study of localization of Dirac fermions on a lattice in two dimensions. United States: N. p., 1993. Web. doi:10.1103/PhysRevB.48.4204.
Hatsugai, Y, & Lee, P A. Numerical study of localization of Dirac fermions on a lattice in two dimensions. United States. https://doi.org/10.1103/PhysRevB.48.4204
Hatsugai, Y, and Lee, P A. 1993. "Numerical study of localization of Dirac fermions on a lattice in two dimensions". United States. https://doi.org/10.1103/PhysRevB.48.4204.
@article{osti_6324970,
title = {Numerical study of localization of Dirac fermions on a lattice in two dimensions},
author = {Hatsugai, Y and Lee, P A},
abstractNote = {We studied the effects of impurities on Dirac fermions numerically. We used a tight-binding Hamiltonian of fermions with the magentic flux equal to [pi] per plaquette for the model. A small amount of strong impurities create states near the zero energy and strong localization of these states is observed. Our results support a recent proposal of localization effects in a gapless [ital d]-wave superconductor.},
doi = {10.1103/PhysRevB.48.4204},
url = {https://www.osti.gov/biblio/6324970}, journal = {Physical Review, B: Condensed Matter; (United States)},
issn = {0163-1829},
number = ,
volume = 48:6,
place = {United States},
year = {Sun Aug 01 00:00:00 EDT 1993},
month = {Sun Aug 01 00:00:00 EDT 1993}
}