scholarly journals Discrete lattice symmetry breaking in a two-dimensional frustrated spin-1 Heisenberg model

2018 ◽  
Vol 98 (4) ◽  
Author(s):  
Ji-Yao Chen ◽  
Sylvain Capponi ◽  
Didier Poilblanc
Keyword(s):  
Symmetry Breaking ◽  
Heisenberg Model ◽  
Two Dimensional ◽  
Lattice Symmetry ◽  
Frustrated Spin

scholarly journals Abelian and non-abelian symmetries in infinite projected entangled pair states

2018 ◽  
Vol 5 (5) ◽  
Author(s):  
Claudius Hubig
Keyword(s):  
Symmetry Breaking ◽  
Spontaneous Symmetry Breaking ◽  
Ground State ◽  
Heisenberg Model ◽  
Computational Effort ◽  
Square Lattice ◽  
Two Dimensional ◽  
Computational Speed ◽  
Speed Up ◽  
Ground State Energies

We explore in detail the implementation of arbitrary abelian and non-abelian symmetries in the setting of infinite projected entangled pair states on the two-dimensional square lattice. We observe a large computational speed-up; easily allowing bond dimensions D=10D=10 in the square lattice Heisenberg model at computational effort comparable to calculations at D=6D=6 without symmetries. We also find that implementing an unbroken symmetry does not negatively affect the representative power of the state and leads to identical or improved ground-state energies. Finally, we point out how to use symmetry implementations to detect spontaneous symmetry breaking.

scholarly journals A comparison of different approaches to enforce lattice symmetry in two‐dimensional crystals

PAMM ◽  
2021 ◽  
Vol 20 (1) ◽  
Author(s):  
Rainer Backofen ◽  
Lisa Sahlmann ◽  
Anna Willmann ◽  
Axel Voigt
Keyword(s):  
Two Dimensional ◽  
Lattice Symmetry

scholarly journals Stability of Two-Dimensional Viscous Incompressible Flows under Three-Dimensional Perturbations and Inviscid Symmetry Breaking

2013 ◽  
Vol 45 (3) ◽  
pp. 1871-1885 ◽  
Author(s):  
C. Bardos ◽  
M. C. Lopes Filho ◽  
Dongjuan Niu ◽  
H. J. Nussenzveig Lopes ◽  
E. S. Titi
Keyword(s):  
Symmetry Breaking ◽  
Incompressible Flows ◽  
Three Dimensional ◽  
Two Dimensional ◽  
Viscous Incompressible Flows

scholarly journals Symmetry breaking and gap opening in two-dimensional hexagonal lattices

2011 ◽  
Vol 13 (1) ◽  
pp. 013026 ◽  
Author(s):  
D Malterre ◽  
B Kierren ◽  
Y Fagot-Revurat ◽  
C Didiot ◽  
F J García de Abajo ◽  
...  
Keyword(s):  
Symmetry Breaking ◽  
Two Dimensional ◽  
Gap Opening
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