scholarly journals Onset of incommensurability at the valence-bond-solid point in theS=1 quantum spin chain

1996 ◽  
Vol 53 (6) ◽  
pp. 3304-3311 ◽  
Author(s):  
U. Schollwöck ◽  
Th. Jolicœur ◽  
T. Garel
Keyword(s):  
Spin Chain ◽  
Valence Bond ◽  
Quantum Spin ◽  
Solid Point ◽  
Quantum Spin Chain ◽  
Valence Bond Solid

scholarly journals FUSED POTTS MODELS

1993 ◽  
Vol 08 (29) ◽  
pp. 5165-5233 ◽  
Author(s):  
W.M. KOO ◽  
H. SALEUR
Keyword(s):  
Phase Diagram ◽  
Spin Chain ◽  
Nearest Neighbor ◽  
Valence Bond ◽  
Quantum Spin ◽  
Transition Line ◽  
Vertex Model ◽  
Quantum Spin Chain ◽  
General Technique ◽  
Potts Models

Generalizing the mapping between the Potts model with nearest neighbor interaction and the six-vertex model, we build a family of “fused Potts models” related to the spin k/2 U q su (2) invariant vertex model and quantum spin chain. These Potts models still have variables taking values 1, …,Q[Formula: see text] but they have a set of complicated multispin interactions. The general technique to compute these interactions, the resulting lattice geometry, symmetries, and the detailed examples of k=2, 3 are given. For Q>4, spontaneous magnetizations are computed on the integrable first order phase transition line, generalizing Baxter’s results for k=1. For Q≤4, we discuss the full phase diagram of the spin 1 (k=2) anisotropic and U q su (2) invariant quantum spin chain [it reduces in the limit Q=4 (q=1) to the much studied phase diagram of the isotropic spin 1 quantum spin chain], Several critical lines and massless phases are exhibited. The appropriate generalization of the valence bond state method of Affleck et al. is worked out.

scholarly journals T − W relation and free energy of the Heisenberg chain at a finite temperature

2021 ◽  
Vol 2021 (7) ◽  
Author(s):  
Pengcheng Lu ◽  
Yi Qiao ◽  
Junpeng Cao ◽  
Wen-Li Yang ◽  
Kang jie Shi ◽  
...  
Keyword(s):  
Free Energy ◽  
Spin Chain ◽  
Quantum Spin ◽  
Heisenberg Chain ◽  
Quantum Spin Chain ◽  
Heisenberg Spin ◽  
Heisenberg Spin Chain ◽  
Lattice Quantum ◽  
Quantum Integrable Models ◽  
Invariant Quantum

Abstract A new nonlinear integral equation (NLIE) describing the thermodynamics of the Heisenberg spin chain is derived based on the t − W relation of the quantum transfer matrices. The free energy of the system in a magnetic field is thus obtained by solving the NLIE. This method can be generalized to other lattice quantum integrable models. Taking the SU(3)-invariant quantum spin chain as an example, we construct the corre- sponding NLIEs and compute the free energy. The present results coincide exactly with those obtained via other methods previously.

scholarly journals Quantum spin chain dissipative mean-field dynamics

2018 ◽  
Vol 51 (32) ◽  
pp. 325001 ◽  
Author(s):  
F Benatti ◽  
F Carollo ◽  
R Floreanini ◽  
H Narnhofer
Keyword(s):  
Spin Chain ◽  
Mean Field ◽  
Quantum Spin ◽  
Quantum Spin Chain

A Note on the Symmetry Algebra of An Asymmetric XXZ Quantum Spin Chain

1997 ◽  
Vol 11 (01) ◽  
pp. 17-24
Author(s):  
M. A. Rego-Monteiro
Keyword(s):  
Spin Chain ◽  
Symmetry Algebra ◽  
Quantum Spin ◽  
Quantum Spin Chain ◽  
Deformation Parameters ◽  
Surface Fields

We show that an interesting open asymmetric XXZ quantum spin chain with surface fields is invariant under a two-parametric generalization of the slq(2) algebra with deformation parameters being a particular root of unit.

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