scholarly journals Realization of the exactly solvable Kitaev honeycomb lattice model in a spin-rotation-invariant system

2010 ◽  
Vol 81 (18) ◽  
Author(s):  
Fa Wang
Keyword(s):  
Lattice Model ◽  
Spin Rotation ◽  
Honeycomb Lattice ◽  
Invariant System ◽  
Rotation Invariant ◽  
Exactly Solvable

scholarly journals Toward Kitaev's sixteenfold way in a honeycomb lattice model

2020 ◽  
Vol 2 (2) ◽  
Author(s):  
Shang-Shun Zhang ◽  
Cristian D. Batista ◽  
Gábor B. Halász
Keyword(s):  
Lattice Model ◽  
Honeycomb Lattice

CPT symmetry in honeycomb lattices and quantum brachistochrone problem

Open Physics ◽  
2013 ◽  
Vol 11 (12) ◽  
Author(s):  
Özlem Yeşiltaş
Keyword(s):  
Dispersion Relation ◽  
Lattice Model ◽  
Honeycomb Lattice ◽  
Cpt Symmetry ◽  
Brachistochrone Problem ◽  
Hamiltonian Model ◽  
Quadratic Surfaces ◽  
The Given

AbstractIn this paper, we have provided a matrix Hamiltonian model for honeycomb lattices and subsequently obtained the dispersion relation. Furthermore, we have constructed the C operator for the given non-Hermitian Hamiltonian model. The quadratic surfaces are sketched and the quantum Brachistochrone problem is discussed for the given honeycomb lattice model.

SOLVABLE CASES OF THE GENERAL SPIN-ONE ISING MODEL ON THE HONEYCOMB LATTICE

1992 ◽  
Vol 06 (09) ◽  
pp. 1529-1538 ◽  
Author(s):  
M. KOLESÍK ◽  
L. ŠAMAJ
Keyword(s):  
Ising Model ◽  
Parameter Space ◽  
Spin System ◽  
Necessary Conditions ◽  
Ising Models ◽  
Honeycomb Lattice ◽  
Systematic Method ◽  
Exactly Solvable

We consider a general spin-1 Ising model on the honeycomb lattice and propose a systematic method for obtaining its solvable cases. The method is based on a sequence of transformations which produces a path between the spin-1 and spin-½ Ising models. Considering necessary conditions for performing the transformations and the solvability of the resulting spin-½ system, we recover the known and find some new nontrivial ‘exactly solvable’ subspaces in the parameter space of the spin-1 Ising model.

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