ONE AND QUASI-ONE DIMENSIONAL SPIN SYSTEMS

2003 ◽  
Vol 18 (33n35) ◽  
pp. 2329-2336 ◽  
Author(s):  
Elisa Ercolessi
Keyword(s):  
Condensed Matter ◽  
Quantum Spin ◽  
Spin Systems ◽  
Spin Chains ◽  
Famous Conjecture ◽  
One Dimensional ◽  
Conformal Field ◽  
Quantum Spin Models ◽  
Low Dimensional ◽  
Antiferromagnetic Spin

Quantum spin models represent one of the most studied examples of application of low-dimensional field theories to condensed matter systems. In this paper we will review some chapters of this hystory, that dates back to the early '80, when Haldane put forward his by now famous conjecture on antiferromagnetic spin chains, and reaches the present days, with the most advanced applications of integrable models and conformal field theory.

scholarly journals BOUNDEDNESS OF ENTANGLEMENT ENTROPY AND SPLIT PROPERTY OF QUANTUM SPIN CHAINS

2013 ◽  
Vol 25 (09) ◽  
pp. 1350017 ◽  
Author(s):  
TAKU MATSUI
Keyword(s):  
Spectral Gap ◽  
Entanglement Entropy ◽  
Quantum Spin ◽  
Spin Systems ◽  
Spin Chains ◽  
Quantum Spin Chains ◽  
Quantum Spin Systems ◽  
One Dimensional ◽  
Split Property ◽  
Left And Right

We show that boundedness of entanglement entropy for pure states of bipartite quantum spin systems implies split property of subsystems. As a corollary, in one-dimensional quantum spin chains, we show that the split property with respect to left and right semi-infinite subsystems is valid for the translationally invariant pure ground states with spectral gap.

High-field ESR in one-dimensional quantum spin systems

2000 ◽  
Vol 284-288 ◽  
pp. 1625-1626 ◽  
Author(s):  
Y Ajiro ◽  
T Asano ◽  
Y Inagaki ◽  
J.P Boucher ◽  
S Luther ◽  
...  
Keyword(s):  
High Field ◽  
Quantum Spin ◽  
Spin Systems ◽  
Quantum Spin Systems ◽  
One Dimensional ◽  
High Field Esr

scholarly journals THOULESS NUMBER AND SPIN DIFFUSION IN QUANTUM HEISENBERG FERROMAGNETS

1993 ◽  
Vol 07 (27) ◽  
pp. 1747-1759 ◽  
Author(s):  
PETER KOPIETZ
Keyword(s):  
Spin Diffusion ◽  
Nearest Neighbor ◽  
Arbitrary Dimension ◽  
Quantum Spin ◽  
Spin Systems ◽  
Heisenberg Ferromagnet ◽  
Electronic Systems ◽  
Dimensionless Frequency ◽  
Spin Models ◽  
Quantum Spin Models

Using an analogy between the conductivity tensor of electronic systems and the spin stiffness tensor of spin systems, we introduce the concept of the Thouless number g0 and the dimensionless frequency-dependent conductance g(ω) for quantum spin models. It is shown that spin diffusion implies the vanishing of the Drude peak of g(ω), and that the spin diffusion coefficient Ds is proportional to g0. We develop a new method based the Thouless number to calculate D s , and present results for D s in the nearest-neighbor quantum Heisenberg ferromagnet at infinite temperatures for arbitrary dimension d and spin S.

Optical Spectroscopy of Low-Dimensional Quantum Spin Systems

2003 ◽  
pp. 95-112 ◽  
Author(s):  
Markus Grüninger ◽  
Marco Windt ◽  
Eva Benckiser ◽  
Tamara S. Nunner ◽  
Kai P. Schmidt ◽  
...  
Keyword(s):  
Optical Spectroscopy ◽  
Quantum Spin ◽  
Spin Systems ◽  
Quantum Spin Systems ◽  
Low Dimensional

scholarly journals Vector Chiral States in Low-Dimensional Quantum-Spin Systems

2008 ◽  
Vol 53 (2) ◽  
pp. 732-736
Author(s):  
Raoul Dillenschneider ◽  
Jung Hoon Kim ◽  
Jung Hoon Han
Keyword(s):  
Quantum Spin ◽  
Spin Systems ◽  
Quantum Spin Systems ◽  
Low Dimensional

Integrability in statistical physics and quantum spin chains

2019 ◽  
pp. 1-59
Author(s):  
Jesper Lykke Jacobsen
Keyword(s):  
Statistical Physics ◽  
Continuum Limit ◽  
Critical Case ◽  
Specific Model ◽  
Quantum Spin ◽  
Spin Chains ◽  
Target Space ◽  
Quantum Spin Chains ◽  
Conformal Field ◽  
Theta Point

This chapter illustrates basic concepts of quantum integrable systems on two important models of statistical physics: the Q-state Potts model and the O(n) model. Both models are transformed into loop and vertex models that provide representations of the dense and dilute Temperley–Lieb algebras. The identification of the corresponding integrable R-matrices leads to the solution of both models by the algebraic Bethe Ansatz technique. Elementary excitations are discussed in the critical case and the link to conformal field theory in the thermodynamic limit is established. The concluding sections outline the solution of a specific model of the theta point of collapsing polymers, leading to a continuum limit with a non-compact target space.

scholarly journals q-DEFORMATIONS OF QUANTUM SPIN CHAINS WITH EXACT VALENCE-BOND GROUND STATES

1994 ◽  
Vol 08 (25n26) ◽  
pp. 3645-3654 ◽  
Author(s):  
M.T. BATCHELOR ◽  
C.M. YUNG
Keyword(s):  
Condensed Matter ◽  
Valence Bond ◽  
Ground States ◽  
Quantum Spin ◽  
Total Spin ◽  
Spin Chains ◽  
The Other ◽  
Condensed Matter Physics ◽  
Spin States ◽  
Quantum Spin Chains

Quantum spin chains with exact valence-bond ground states are of great interest in condensed-matter physics. A class of such models was proposed by Affleck et al., each of which is su(2)-invariant and constructed as a sum of projectors onto definite total spin states at neighboring sites. We propose to use the machinery of the q-deformation of su(2) to obtain generalisations of such models, and work out explicitly the two simplest examples. In one case we recover the known anisotropic spin-1 VBS model while in the other we obtain a new anisotropic generalisation of the spin-½ Majumdar-Ghosh model.

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