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From spin to anyon notation: The XXZ Heisenberg model as a D3 (or su(2)4) anyon chain
"... We discuss a relationship between certain onedimensional quantum spin chains and anyon chains. In particular we show how the XXZ Heisenberg chain is realised as a D3 (alternately su(2)4) anyon model. We find the difference between the models lie primarily in the choice of boundary conditions. 1 ..."
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We discuss a relationship between certain onedimensional quantum spin chains and anyon chains. In particular we show how the XXZ Heisenberg chain is realised as a D3 (alternately su(2)4) anyon model. We find the difference between the models lie primarily in the choice of boundary conditions. 1
The Thermodynamics of the XXZ Heisenberg Chain with Impurities
, 1999
"... In this paper, we discuss the effect of the arbitrary spin impurities to the spin1/2 and spin1 XXZ model. The effect of ground state, the free energy, the magnetic susceptibility, the specific heat and the Kondo temperature are given by using the thermodynamic Bethe ansatz equation. ..."
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In this paper, we discuss the effect of the arbitrary spin impurities to the spin1/2 and spin1 XXZ model. The effect of ground state, the free energy, the magnetic susceptibility, the specific heat and the Kondo temperature are given by using the thermodynamic Bethe ansatz equation.
The renormalization of entanglement in the anisotropic Heisenberg (XXZ) model
, 2008
"... to study the quantum information properties of the anisotropic s=1/2 Heisenberg chain. We have investigated the underlying quantum information properties like the evolution of concurrence, entanglement entropy, nonanalytic behaviours and the scaling close to the quantum critical point of the model. ..."
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to study the quantum information properties of the anisotropic s=1/2 Heisenberg chain. We have investigated the underlying quantum information properties like the evolution of concurrence, entanglement entropy, nonanalytic behaviours and the scaling close to the quantum critical point of the model
Exactly solvable Ising–Heisenberg chain with triangular XXZHeisenberg plaquettes.
, 807
"... A mixed IsingHeisenberg spin system consisting of triangular XXZHeisenberg spin clusters assembled into a chain by alternating with Ising spins interacting to all three spins in the triangle is considered. The exact solution of the model is given in terms of the generalized decoration–iteration ma ..."
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A mixed IsingHeisenberg spin system consisting of triangular XXZHeisenberg spin clusters assembled into a chain by alternating with Ising spins interacting to all three spins in the triangle is considered. The exact solution of the model is given in terms of the generalized decoration
Nonequivalence between Heisenberg XXZ spin chain and Thirring model
, 2003
"... The Bethe ansatz equations for the spin 1/2 Heisenberg XXZ spin chain are numerically solved, and the energy eigenvalues are determined for the antiferromagnetic case. We examine the relation between the XXZ spin chain and the Thirring model, and show that the spectrum of the XXZ spin chain is diff ..."
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The Bethe ansatz equations for the spin 1/2 Heisenberg XXZ spin chain are numerically solved, and the energy eigenvalues are determined for the antiferromagnetic case. We examine the relation between the XXZ spin chain and the Thirring model, and show that the spectrum of the XXZ spin chain
Is There A Phase Transition in the Isotropic Heisenberg Antiferromagnet on the Triangular Lattice?
, 2008
"... The phase diagram of the classical anisotropic (XXZ) Heisenberg model on the 2dimensional triangular lattice is investigated using Monte Carlo methods. In the easyaxis limit, two finite temperature vortex unbinding transitions have been observed. In the easyplane limit, there also appear to be tw ..."
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The phase diagram of the classical anisotropic (XXZ) Heisenberg model on the 2dimensional triangular lattice is investigated using Monte Carlo methods. In the easyaxis limit, two finite temperature vortex unbinding transitions have been observed. In the easyplane limit, there also appear
The Hamiltonian of the anisotropic HeisenbergIsing model, or the XXZ model, has the form [1]
, 2002
"... conditions ..."
The quantum structure of spacetime at the Planck scale and quantum fields
 COMMUN. MATH. PHYS. 172, 187–220 (1995)
, 1995
"... We propose uncertainty relations for the different coordinates of spacetime events, motivated by Heisenberg’s principle and by Einstein’s theory of classical gravity. A model of Quantum Spacetime is then discussed where the commutation relations exactly implement our uncertainty relations. We outl ..."
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Cited by 332 (6 self)
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We propose uncertainty relations for the different coordinates of spacetime events, motivated by Heisenberg’s principle and by Einstein’s theory of classical gravity. A model of Quantum Spacetime is then discussed where the commutation relations exactly implement our uncertainty relations. We
Relaxation Time Of Anisotropic Simple Exclusion Processes And Quantum Heisenberg Models
, 2002
"... Motivated by an exact mapping between anisotropic half integer spin quantum Heisenberg models and asymmetric diffusions on the lattice, we consider an anisotropic simple exclusion process with N particles in a rectangle of Z . Every particle at row h tries to jump to an arbitrary empty site at row h ..."
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Cited by 16 (2 self)
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. Carlen, M.C. Carvalho and M. Loss to analyze the Kac model for the non linear Boltzmann equation. We then apply the result to prove precise upper and lower bounds on the energy gap for the spinS, S 2 N, XXZ chain and for the 111 interface of the spinS XXZ Heisenberg model, thus generalizing previous
Results 1  10
of
1,677