scholarly journals Excitation spectrum and correlation functions of theZ3 chiral Potts quantum spin chain

1995 ◽  
Vol 435 (3) ◽  
pp. 505-525 ◽  
Author(s):  
A. Honecker ◽  
G. von Gehlen
Keyword(s):  
Excitation Spectrum ◽  
Correlation Functions ◽  
Spin Chain ◽  
Quantum Spin ◽  
Quantum Spin Chain

scholarly journals EXCITATION SPECTRUM AT THE YANG–LEE EDGE SINGULARITY OF THE 2D ISING MODEL

2006 ◽  
Vol 20 (04) ◽  
pp. 495-504 ◽  
Author(s):  
JOHN F. MCCABE ◽  
TOMASZ WYDRO
Keyword(s):  
Ising Model ◽  
Excitation Spectrum ◽  
Spin Chain ◽  
Central Charge ◽  
Finite Size ◽  
Quantum Spin ◽  
Finite Size Scaling ◽  
Quantum Spin Chain ◽  
Edge Singularity ◽  
Conformal Field

This paper studies the Yang–Lee edge singularity of 2-dimensional (2D) Ising model through a quantum spin chain. In particular, finite-size scaling measurements on the quantum spin chain are used to determine the low-lying excitation spectrum and central charge at the Yang–Lee edge singularity. The measured values are consistent with predictions for the (A4, A1) minimal conformal field theory.

scholarly journals FATEEV-ZAMOLODCHIKOV SPIN CHAIN: EXCITATION SPECTRUM, COMPLETENESS AND THERMODYNAMICS

1994 ◽  
Vol 09 (28) ◽  
pp. 4921-4947 ◽  
Author(s):  
GIUSEPPE ALBERTINI
Keyword(s):  
Specific Heat ◽  
Bethe Ansatz ◽  
Excitation Spectrum ◽  
Spin Chain ◽  
Central Charge ◽  
Quantum Spin ◽  
Quantum Spin Chain

The sector of zero ZN charge is studied for the ferromagnetic (FM) and antiferromagnetic (AFM) version of the (ZN×Z2)-invariant Fateev-Zamolodchikov quantum spin chain. We conjecture that the relevant Bethe ansatz equations should admit, besides the usual stringlike solutions, exceptional multiplets, and a number of nonphysical solutions. Once the physical ones are identified, we show how completeness and the gapless excitation spectrum can be obtained. The central charge is computed from the specific heat and found to be [Formula: see text] (FM) and c=1 (AFM).

scholarly journals LEVEL 2 IRREDUCIBLE REPRESENTATIONS OF $U_q (\widehat{{\rm sl}}_2)$, VERTEX OPERATORS, AND THEIR CORRELATIONS

1994 ◽  
Vol 09 (25) ◽  
pp. 4449-4484 ◽  
Author(s):  
MAKOTO IDZUMI
Keyword(s):  
Correlation Functions ◽  
Spin Chain ◽  
Integral Formula ◽  
Spin Correlation ◽  
Quantum Spin ◽  
Irreducible Representations ◽  
Vertex Operators ◽  
Quantum Spin Chain ◽  
Level 2

Vertex operators associated with level 2 [Formula: see text] modules are explicitly constructed using bosons and fermions. An integral formula is derived for the trace of products of vertex operators. These results are applied to give n-point spin correlation functions of an integrable S = 1 quantum spin chain, extending an earlier work of Jimbo et al. for the case S = 1/2.

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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