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 FINITE CHAINS WITH QUANTUM AFFINE SYMMETRIES

1994 ◽  
Vol 09 (19) ◽  
pp. 3473-3496 ◽  
Author(s):  
F.C. ALCARAZ ◽  
D. ARNAUDON ◽  
V. RITTENBERG ◽  
M. SCHEUNERT
Keyword(s):  
Hubbard Model ◽  
State System ◽  
Wave Functions ◽  
Irreducible Representations ◽  
Effective Hamiltonian ◽  
Heisenberg Chain ◽  
Open Chain ◽  
One Dimensional ◽  
Strong Repulsion ◽  
New Interactions

We consider an extension of the t-U Hubbard model taking into account new interactions between the numbers of up and down electrons. We confine ourselves to a one-dimensional open chain with L sites (4L states) and derive the effective Hamiltonian in the strong repulsion (large U) regime. This Hamiltonian acts on 3L states. We show that the spectrum of the latter Hamiltonian (not the degeneracies) coincides with the spectrum of the anisotropic Heisenberg chain (XX Z model) in the presence of a Z field (2L states). The wave functions of the 3L-state system are obtained explicitly from those of the 2L-state system, and the degeneracies can be understood in terms of irreducible representations of [Formula: see text].

scholarly journals Thermodynamical Properties of a Spin 1/2 Heisenberg Chain Coupled to Phonons

2019 ◽  
Author(s):  
Rainer Kühne
Keyword(s):  
Quantum Monte Carlo ◽  
Nearest Neighbor ◽  
Finite Size ◽  
Spin Correlation ◽  
Heisenberg Chain ◽  
Neighbor Interaction ◽  
One Dimensional ◽  
Truncation Errors ◽  
Massive Phase ◽  
The One

We performed a finite-temperature quantum Monte Carlo simulation of the one-dimensional spin-1/2 Heisenberg model with nearest-neighbor interaction coupled to Einstein phonons. Our method allows to treat easily up to 100 phonons per site and the results presented are practically free from truncation errors. We studied in detail the magnetic susceptibility, the specific heat, the phonon occupation, the dimerization, and the spin-correlation function for various spin-phonon couplings and phonon frequencies. In particular we give evidence for the transition from a gapless to a massive phase by studying the finite-size behavior of the susceptibility. We also show that the dimerization is proportional to g2/Ω for T<2J.

scholarly journals Sr2Cu(PO4)2: A real material realization of the one-dimensional nearest neighbor Heisenberg chain

2006 ◽  
Vol 74 (17) ◽  
Author(s):  
M. D. Johannes ◽  
J. Richter ◽  
S.-L. Drechsler ◽  
H. Rosner
Keyword(s):  
Nearest Neighbor ◽  
Heisenberg Chain ◽  
One Dimensional ◽  
Real Material ◽  
The One

Study of the one-dimensional Holstein model with next-nearest-neighbor hopping

2010 ◽  
Vol 23 (2) ◽  
pp. 025601 ◽  
Author(s):  
Monodeep Chakraborty ◽  
A N Das ◽  
Atisdipankar Chakrabarti
Keyword(s):  
Nearest Neighbor ◽  
One Dimensional ◽  
Holstein Model ◽  
The One

scholarly journals Scaling limit of the one-dimensional XXZ Heisenberg chain with easy axis anisotropy

1999 ◽  
Vol 562 (3) ◽  
pp. 497-523 ◽  
Author(s):  
Tamás Hauer ◽  
Attila Rákos ◽  
Ferenc Woynarovich
Keyword(s):  
Easy Axis ◽  
Scaling Limit ◽  
Heisenberg Chain ◽  
One Dimensional ◽  
The One

Application of the Landau-Luttinger Liquid Formulation to the Study of the Magnetic Properties of the 1-D Hubbard Model

1991 ◽  
Vol 05 (01n02) ◽  
pp. 3-30 ◽  
Author(s):  
J. Carmelo ◽  
P. Horsch ◽  
P.A. Bares ◽  
A.A. Ovchinnikov
Keyword(s):  
Magnetic Field ◽  
Magnetic Properties ◽  
Low Temperature ◽  
Hubbard Model ◽  
Luttinger Liquid ◽  
Liquid Formulation ◽  
One Dimensional ◽  
Spin Excitations ◽  
Arbitrary Strength ◽  
The One

The Landau-Luttinger liquid formulation is used to investigate the physics of the one-dimensional Hubbard model in a magnetic field of arbitrary strength H. The low lying charge and spin excitations are studied. A novel branch of sound wave-like spin excitations arises for H>0. The low temperature thermodynamics is considered in some detail.

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