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Results 11 - 20
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1,677
Heisenberg
, 2002
"... Using a multiple integral representation for the correlation functions, we compute the emptiness formation probability of the XXZ spin-1 2 ..."
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Using a multiple integral representation for the correlation functions, we compute the emptiness formation probability of the XXZ spin-1 2
DUAL FIELD APPROACH TO CORRELATION FUNCTIONS IN THE HEISENBERG XXZ SPIN CHAIN
, 1995
"... We study zero temperature correlation functions of the spin- 1 Heisenberg XXZ 2 model in the critical regime −1 < ∆ ≤ 1 in a magnetic field by means of the Dual Field Approach. We show for one particular example how to derive determinant representations for correlation functions and how to use t ..."
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We study zero temperature correlation functions of the spin- 1 Heisenberg XXZ 2 model in the critical regime −1 < ∆ ≤ 1 in a magnetic field by means of the Dual Field Approach. We show for one particular example how to derive determinant representations for correlation functions and how to use
The Role of the Central Element in the Quantum Algebra Underlying the Twisted XXZ Chain
, 1995
"... We study the relationship among the XXZ Heisenberg model and three models obtained from it by various transformations. In particular, we emphasize the role of a non trivial central element tZ in the underlying algebra and its relationship with the twisted boundary conditions, S ± N+1 = t ±NS ± 1. Ke ..."
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We study the relationship among the XXZ Heisenberg model and three models obtained from it by various transformations. In particular, we emphasize the role of a non trivial central element tZ in the underlying algebra and its relationship with the twisted boundary conditions, S ± N+1 = t ±NS ± 1
Droplet states in the XXZ Heisenberg chain
- Communications in Mathematical Physics
, 2001
"... Abstract: We consider the ground states of the ferromagnetic XXZ chain with spin up boundary conditions in sectors with a fixed number of down spins. This forces the existence of a droplet of down spins in the system. We find the exact energy and the states that describe these droplets in the limit ..."
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Cited by 7 (2 self)
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Abstract: We consider the ground states of the ferromagnetic XXZ chain with spin up boundary conditions in sectors with a fixed number of down spins. This forces the existence of a droplet of down spins in the system. We find the exact energy and the states that describe these droplets in the limit
GENERALIZED HEISENBERG MODEL
, 2008
"... We consider the XXZ model for a chain of particles whose spins are arbitrary with the anisotropy parameter equal to the root of minus one and generalized periodic boundary conditions. The conditions for the truncation of the functional fusion relations of the transfer matrices are obtained. The trun ..."
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We consider the XXZ model for a chain of particles whose spins are arbitrary with the anisotropy parameter equal to the root of minus one and generalized periodic boundary conditions. The conditions for the truncation of the functional fusion relations of the transfer matrices are obtained
The spectral gap of the ferromagnetic XXZ chain
, 1997
"... We prove that the spectral gap of the spin-1/2 ferromagnetic XXZ chain with Hamiltonian H = \Gamma P x S (1) x S (1) x+1 +S (2) x S (2) x+1 + \DeltaS (3) x S (3) x+1 , is given by \Delta \Gamma 1 for all \Delta 1. This is the gap in the spectrum of the infinite chain in any of its gr ..."
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Cited by 6 (2 self)
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) quantum group symmetry of the model. Keywords: quantum spin chains, Heisenberg model, ferromagnetic XXZ chain, kink ground states, spectral gap, quantum group symmetry Copyright c fl 1995 by the authors. Faithful reproduction of this article by any means is permitted for non-commercial purposes. Gap
A Continuum Approximation for the Excitations of the (1, 1, ..., 1) Interface in the Quantum Heisenberg model
, 1999
"... : It is shown that, with an appropriate scaling, the energy of lowlying excitations of the (1; 1; : : : ; 1) interface in the d-dimensional quantum Heisenberg model are given by the spectrum of the d \Gamma 1-dimensional Laplacian on an suitable domain. Keywords: Anisotropic Heisenberg ferromagnet, ..."
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Cited by 2 (1 self)
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the spin 1/2 XXZ Heisenberg model on the d-dimensional lattice Z d . For any finite volume ae Z d , the Hamiltonian is given by H = \Gamma X x;y2 jx\Gammayj=1 \Delta \Gamma1 (S (1) x S (1) y + S (2) x S (2) y ) + S (3) x S (3) y ; (1.1) where \Delta ? 1 is the anisotropy. We refer
Dynamical correlation functions of the XXZ model at finite temperature
- J. Phys. A: Math. Theor
"... Combining a lattice path integral formulation for thermodynamics with the solution of the quantum inverse scattering problem for local spin operators, we derive a multiple integral representation for the time-dependent longitudinal correlation function of the spin-1/2 Heisenberg XXZ chain at finite ..."
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Cited by 7 (0 self)
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Combining a lattice path integral formulation for thermodynamics with the solution of the quantum inverse scattering problem for local spin operators, we derive a multiple integral representation for the time-dependent longitudinal correlation function of the spin-1/2 Heisenberg XXZ chain at finite
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