QUANTUM ALGEBRA STRUCTURE OF EXACTLY SOLUBLE QUANTUM SPIN CHAINS

1991 ◽  
Vol 06 (27) ◽  
pp. 2497-2508 ◽  
Author(s):  
LUCA MEZINCESCU ◽  
RAFAEL I. NEPOMECHIE
Keyword(s):  
Large Class ◽  
Quantum Algebra ◽  
Quantum Spin ◽  
Spin Chains ◽  
Algebra Structure ◽  
Quantum Spin Chains ◽  
Transfer Matrices ◽  
Highest Weight

We consider a large class of quantum spin chains, whose Hamiltonians commute with generators of a quantum algebra and which are integrable. We argue that the corresponding transfer matrices also commute with the quantum algebra. For the spin [Formula: see text] chain, we show that the Bethe states are highest weight states of Uq[ su (2)].

scholarly journals QUANTUM LOOP MODULES AND QUANTUM SPIN CHAINS

1994 ◽  
Vol 09 (22) ◽  
pp. 3925-3958
Author(s):  
DANIEL ALTSCHULER ◽  
BRIAN DAVIES
Keyword(s):  
Sufficient Conditions ◽  
Quantum Spin ◽  
Spin Chains ◽  
Quantum Affine Algebra ◽  
Quantum Spin Chains ◽  
Affine Algebra ◽  
Highest Weight ◽  
Necessary And Sufficient ◽  
Loop Modules

We construct level-0 modules of the quantum affine algebra [Formula: see text], as the q-deformed version of the Lie algebra loop module construction. We give necessary and sufficient conditions for the modules to be irreducible. We construct the crystal base for some of these modules and find significant differences from the case of highest weight modules. We also consider the role of loop modules in the recent scheme for diagonalizing certain quantum spin chains using their [Formula: see text] symmetry.

Solvable nineteen-vertex models and quantum spin chains of spin one

1994 ◽  
Vol 4 (8) ◽  
pp. 1151-1159 ◽  
Author(s):  
Makoto Idzumi ◽  
Tetsuji Tokihiro ◽  
Masao Arai
Keyword(s):  
Quantum Spin ◽  
Spin Chains ◽  
Quantum Spin Chains ◽  
Vertex Models

scholarly journals Long-lived Néel states in antiferromagnetic quantum spin chains with strong uniaxial anisotropy for atomic-scale antiferromagnetic spintronics

RSC Advances ◽  
2015 ◽  
Vol 5 (129) ◽  
pp. 106333-106338 ◽  
Author(s):  
Jun Li ◽  
Bang-Gui Liu
Keyword(s):  
Uniaxial Anisotropy ◽  
Life Time ◽  
Quantum Spin ◽  
Spin Chains ◽  
Atomic Scale ◽  
Quantum Spin Chains ◽  
Long Life

We achieve a powerful life-time expression of the Neel states for arbitrary parameters and show that for famous Fe adatom chains on Cu2N surface, 14 or 16 Fe adatoms are enough to obtain a long life-time for Neel state storage of information.

Random exchange effects in antiferromagnetic quantum spin chains: A Monte Carlo study

1987 ◽  
Vol 35 (7) ◽  
pp. 3461-3467 ◽  
Author(s):  
H. -B. Schüttler ◽  
D. J. Scalapino ◽  
P. M. Grant
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Study ◽  
Quantum Spin ◽  
Spin Chains ◽  
Quantum Spin Chains ◽  
Exchange Effects

scholarly journals Quantum spin chains with frustration due to Dzyaloshinskii-Moriya interactions

2014 ◽  
Vol 90 (17) ◽  
Author(s):  
M. Hälg ◽  
W. E. A. Lorenz ◽  
K. Yu. Povarov ◽  
M. Månsson ◽  
Y. Skourski ◽  
...  
Keyword(s):  
Quantum Spin ◽  
Spin Chains ◽  
Quantum Spin Chains
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