scholarly journals Quasiparticles governing the zero-temperature dynamics of the one-dimensional spin-1/2 Heisenberg antiferromagnet in a magnetic field

2002 ◽  
Vol 66 (5) ◽  
Author(s):  
Michael Karbach ◽  
Daniel Biegel ◽  
Gerhard Müller
Keyword(s):  
Magnetic Field ◽  
Heisenberg Antiferromagnet ◽  
Zero Temperature ◽  
One Dimensional ◽  
Temperature Dynamics ◽  
The One

scholarly journals EMPTINESS FORMATION PROBABILITY AND QUANTUM KNIZHNIK-ZAMOLODCHIKOV EQUATION

2004 ◽  
Vol 19 (supp02) ◽  
pp. 57-81
Author(s):  
H. E. BOOS ◽  
V. E. KOREPIN ◽  
F. A. SMIRNOV
Keyword(s):  
Quantum Correlations ◽  
Zero Magnetic Field ◽  
Heisenberg Antiferromagnet ◽  
Zero Temperature ◽  
One Dimensional ◽  
Formation Probability ◽  
Antiferromagnetic Ground State ◽  
A New Technique ◽  
The One ◽  
Zamolodchikov Equation

We consider the one-dimensional XXX spin 1/2 Heisenberg antiferromagnet at zero temperature and zero magnetic field. We are interested in a probability of a formation of a ferromagnetic string P(n) in the antiferromagnetic ground-state. We call it emptiness formation probability [EFP]. We suggest a new technique for computation of the EFP in the inhomogeneous case. It is based on the quantum Knizhnik-Zamolodchikov equation [qKZ]. We calculate EFP for n≤6 for the inhomogeneous case. The homogeneous limit confirms our hypothesis about the relation of quantum correlations and number theory. We also make a conjecture about a structure of EFP for arbrary n.

Spin excitations of the one-dimensional S=12 Heisenberg antiferromagnet Yb4As3 under magnetic field

2002 ◽  
Vol 312-313 ◽  
pp. 359-361
Author(s):  
M. Kohgi ◽  
K. Iwasa ◽  
J.-M. Mignot ◽  
B. Fåk ◽  
A. Hiess ◽  
...  
Keyword(s):  
Magnetic Field ◽  
Heisenberg Antiferromagnet ◽  
One Dimensional ◽  
Spin Excitations ◽  
The One

ONE-DIMENSIONAL SPIN-ONE HEISENBERG ANTIFERROMAGNET WITH SINGLE-ION ANISOTROPY IN A MAGNETIC FIELD: SCHWINGER BOSON THEORY

2000 ◽  
Vol 14 (24) ◽  
pp. 2561-2575
Author(s):  
GANG SU ◽  
HUAIZHONG XING ◽  
DESHENG XUE ◽  
ZIYU CHEN ◽  
FASHEN LI
Keyword(s):  
Magnetic Field ◽  
Specific Heat ◽  
Mean Field Theory ◽  
Mean Field ◽  
Antiferromagnetic Phase ◽  
Heisenberg Antiferromagnet ◽  
One Dimensional ◽  
Schematic Phase Diagram ◽  
Boson Theory ◽  
The One

The one-dimensional spin-one Heisenberg antiferromagnet with single-ion anisotropy in the presence of the applied magnetic field is explored in terms of the Schwinger boson mean-field theory. The temperature and anisotropy dependences of the specific heat, the susceptibility and the magnetization are thoroughly discussed. New features of the specific heat as a function of temperature as well as anisotropy are found. A transition from an antiferromagnetic phase to a spin-canting phase is observed, and meanwhile, a schematic phase diagram is proposed.

scholarly journals Effective Hamiltonian for a half-filled asymmetric ionic Hubbard chain with alternating on-site interaction

2016 ◽  
Vol 30 (03) ◽  
pp. 1550260 ◽  
Author(s):  
I. Grusha ◽  
M. Menteshashvili ◽  
G. I. Japaridze
Keyword(s):  
Magnetic Field ◽  
Nearest Neighbor ◽  
Effective Hamiltonian ◽  
Heisenberg Chain ◽  
Spin Hamiltonian ◽  
Effective Spin ◽  
One Dimensional ◽  
The One ◽  
Strong Repulsion ◽  
Ionic Hubbard Model

We derive an effective spin Hamiltonian for the one-dimensional half-filled asymmetric ionic Hubbard model (IHM) with alternating on-site interaction in the limit of strong repulsion. It is shown that the effective Hamiltonian is that of a spin S = 1/2 anisotropic XXZ Heisenberg chain with alternating next-nearest-neighbor (NNN) and three-spin couplings in the presence of a uniform and a staggered magnetic field.

scholarly journals EXACT SOLUTION OF AN IRREVERSIBLE ONE-DIMENSIONAL MODEL WITH FULLY BIASED SPIN EXCHANGES

1996 ◽  
Vol 10 (25) ◽  
pp. 3451-3459 ◽  
Author(s):  
ANTÓNIO M.R. CADILHE ◽  
VLADIMIR PRIVMAN
Keyword(s):  
Exact Solution ◽  
Domain Wall ◽  
Nearest Neighbor ◽  
Spin Exchange ◽  
Initial Conditions ◽  
Strong Dependence ◽  
Zero Temperature ◽  
Dimensional Model ◽  
One Dimensional ◽  
Temperature Dynamics

We introduce a model with conserved dynamics, where nearest neighbor pairs of spins ↑↓ (↓↑) can exchange to assume the configuration ↓↑ (↑↓), with rate β(α), through energy decreasing moves only. We report exact solution for the case when one of the rates, α or β, is zero. The irreversibility of such zero-temperature dynamics results in strong dependence on the initial conditions. Domain wall arguments suggest that for more general, finite-temperature models with steady states the dynamical critical exponent for the anisotropic spin exchange is different from the isotropic value.

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