A New Type of Argument for the Existence of an Exact Dimer Ground State inS=1/2Quantum Heisenberg Spin Systems

1996 ◽  
Vol 65 (5) ◽  
pp. 1387-1391 ◽  
Author(s):  
Hidetsugu Kitatani ◽  
Takehiko Oguchi
Keyword(s):  
Ground State ◽  
Spin Systems ◽  
Heisenberg Spin ◽  
New Type

scholarly journals Optimal phase space sampling for Monte Carlo simulations of Heisenberg spin systems

2019 ◽  
Vol 31 (9) ◽  
pp. 095802 ◽  
Author(s):  
J D Alzate-Cardona ◽  
D Sabogal-Suárez ◽  
R F L Evans ◽  
E Restrepo-Parra
Keyword(s):  
Monte Carlo ◽  
Phase Space ◽  
Monte Carlo Simulations ◽  
Spin Systems ◽  
Heisenberg Spin

scholarly journals Linear energy bounds for Heisenberg spin systems

2002 ◽  
Vol 35 (31) ◽  
pp. 6545-6555 ◽  
Author(s):  
Heinz-J$uuml$rgen Schmidt
Keyword(s):  
Spin Systems ◽  
Heisenberg Spin ◽  
Energy Bounds

On the Ground State of Spin Systems with Orbital Degeneracy

2002 ◽  
Vol 37 (1) ◽  
pp. 105-110
Author(s):  
Shi Da-Ning ◽  
Li Ning ◽  
Yang Zhi-Hong
Keyword(s):  
Ground State ◽  
Spin Systems ◽  
Orbital Degeneracy

scholarly journals Fractal Symmetric Phases of Matter

2019 ◽  
Vol 6 (1) ◽  
Author(s):  
Trithep Devakul ◽  
Yizhi You ◽  
F. J. Burnell ◽  
Shivaji Sondhi
Keyword(s):  
Cellular Automata ◽  
Ground State ◽  
Spin Systems ◽  
Fractal Structures ◽  
Ordered Phases ◽  
Symmetry Protected

We study spin systems which exhibit symmetries that act on a fractal subset of sites, with fractal structures generated by linear cellular automata. In addition to the trivial symmetric paramagnet and spontaneously symmetry broken phases, we construct additional fractal symmetry protected topological (FSPT) phases via a decorated defect approach. Such phases have edges along which fractal symmetries are realized projectively, leading to a symmetry protected degeneracy along the edge. Isolated excitations above the ground state are symmetry protected fractons, which cannot be moved without breaking the symmetry. In 3D, our construction leads additionally to FSPT phases protected by higher form fractal symmetries and fracton topologically ordered phases enriched by the additional fractal symmetries.

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