scholarly journals Dirac fermions with disorder in two dimensions: Exact results

1996 ◽  
Vol 53 (15) ◽  
pp. 9653-9657 ◽  
Author(s):  
K. Ziegler
Keyword(s):  
Two Dimensions ◽  
Exact Results ◽  
Dirac Fermions

scholarly journals Boundary states for chiral symmetries in two dimensions

2020 ◽  
Vol 2020 (9) ◽  
Author(s):  
Philip Boyle Smith ◽  
David Tong
Keyword(s):  
Boundary Conditions ◽  
Ground State ◽  
Zero Mode ◽  
Central Charge ◽  
Two Dimensions ◽  
Dirac Fermions ◽  
Chiral Symmetries ◽  
Boundary States ◽  
Ground State Degeneracy ◽  
Left And Right

Abstract We study boundary states for Dirac fermions in d = 1 + 1 dimensions that preserve Abelian chiral symmetries, meaning that the left- and right-moving fermions carry different charges. We derive simple expressions, in terms of the fermion charge assignments, for the boundary central charge and for the ground state degeneracy of the system when two different boundary conditions are imposed at either end of an interval. We show that all such boundary states fall into one of two classes, related to SPT phases supported by (−1)F , which are characterised by the existence of an unpaired Majorana zero mode.

scholarly journals Topologically Protected Doubling of Tilted Dirac Fermions in Two Dimensions

2019 ◽  
Vol 256 (6) ◽  
pp. 1800524 ◽  
Author(s):  
Tohru Kawarabayashi ◽  
Hideo Aoki ◽  
Yasuhiro Hatsugai
Keyword(s):  
Two Dimensions ◽  
Dirac Fermions

scholarly journals Fermi-liquid ground state of interacting Dirac fermions in two dimensions

2019 ◽  
Vol 99 (12) ◽  
Author(s):  
Kazuhiro Seki ◽  
Yuichi Otsuka ◽  
Seiji Yunoki ◽  
Sandro Sorella
Keyword(s):  
Ground State ◽  
Fermi Liquid ◽  
Two Dimensions ◽  
Dirac Fermions

Exact Results for Curvature-Driven Coarsening in Two Dimensions

2007 ◽  
Vol 98 (14) ◽  
Author(s):  
Jeferson J. Arenzon ◽  
Alan J. Bray ◽  
Leticia F. Cugliandolo ◽  
Alberto Sicilia
Keyword(s):  
Two Dimensions ◽  
Exact Results ◽  
Curvature Driven

scholarly journals Diffusion of Dirac fermions across a topological merging transition in two dimensions

2016 ◽  
Vol 93 (12) ◽  
Author(s):  
P. Adroguer ◽  
D. Carpentier ◽  
G. Montambaux ◽  
E. Orignac
Keyword(s):  
Two Dimensions ◽  
Dirac Fermions

Exact results for the Potts model in two dimensions

1978 ◽  
Vol 19 (6) ◽  
pp. 623-632 ◽  
Author(s):  
A. Hintermann ◽  
H. Kunz ◽  
F. Y. Wu
Keyword(s):  
Potts Model ◽  
Two Dimensions ◽  
Exact Results
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