scholarly journals One-dimensional Bose-Hubbard model with nearest-neighbor interaction

2000 ◽  
Vol 61 (18) ◽  
pp. 12474-12489 ◽  
Author(s):  
Till D. Kühner ◽  
Steven R. White ◽  
H. Monien
Keyword(s):  
Hubbard Model ◽  
Nearest Neighbor ◽  
Neighbor Interaction ◽  
One Dimensional

Thermal conduction in a quasi-stationary one-dimensional lattice system

2019 ◽  
Vol 33 (17) ◽  
pp. 1950178
Author(s):  
Mohammad Khorrami ◽  
Amir Aghamohammadi
Keyword(s):  
Heat Transfer ◽  
Ising Model ◽  
Diffusion Equation ◽  
Thermal Conduction ◽  
Nearest Neighbor ◽  
Entropy Change ◽  
Neighbor Interaction ◽  
Dimensional Lattice ◽  
One Dimensional ◽  
Special Case

A system of nearest-neighbor interaction on a one-dimensional lattice is investigated, which has a quasi-stationary (and position-dependent) temperature profile. The rates of heat transfer and entropy change, as well as the diffusion equation for the temperature are studied. A q-state Potts model, and its special case, a two-state Ising model, are considered as an example.

SUPERSOLID PHASE IN ONE-DIMENSIONAL BOSE–HUBBARD MODEL WITH EXTENDED RANGE INTERACTIONS: DMRG AND FIELD THEORETIC STUDY AT DIFFERENT DENSITIES

2011 ◽  
Vol 25 (01) ◽  
pp. 159-169 ◽  
Author(s):  
MANORANJAN KUMAR ◽  
SUJIT SARKAR ◽  
S. RAMASESHA
Keyword(s):  
Hubbard Model ◽  
Nearest Neighbor ◽  
Range Interaction ◽  
Quantum Phases ◽  
One Dimensional ◽  
Density Matrix Renormalization ◽  
Supersolid Phase ◽  
Extended Range ◽  
Half Filling

We use the Density Matrix Renormalization Group and the Abelian bosonization method to study the effect of density on quantum phases of one-dimensional extended Bose–Hubbard model. We predict the existence of supersolid phase and also other quantum phases for this system. We have analyzed the role of extended range interaction parameters on solitonic phase near half-filling. We discuss the effects of dimerization in nearest neighbor hopping and interaction as well as next nearest neighbor interaction on the plateau phase at half-filling.

TWO-DIMENSIONAL QUARTER-FILLED EXTENDED HUBBARD MODEL AT STRONG COUPLING

2005 ◽  
Vol 19 (01n03) ◽  
pp. 213-216
Author(s):  
W. F. LEE ◽  
H. Q. LIN
Keyword(s):  
Hubbard Model ◽  
Correlation Functions ◽  
Nearest Neighbor ◽  
Spin Correlation ◽  
Perturbation Approach ◽  
Effective Hamiltonian ◽  
Two Dimensional ◽  
Extended Hubbard Model ◽  
Neighbor Interaction ◽  
Electron Hopping

In this paper, we generalized the perturbation approach to study the quasi-two-dimension extended Hubbard model. This model is characterizing by intra-chain electron hopping t, on-site Column interaction U, nearest-neighbor interaction V, and inter-chain electron hopping t′ and nearest-neighbor interaction V′. An effective Hamiltonian up to sixth-order in t/U, t/V, t/V′, t′/U, t′/V and t′/V′ expansion was obtained and the spin-spin correlation functions were calculated. We presented results for t=t′, V=V′.

ATTRACTORS FOR STOCHASTIC LATTICE DYNAMICAL SYSTEMS

2006 ◽  
Vol 06 (01) ◽  
pp. 1-21 ◽  
Author(s):  
PETER W. BATES ◽  
HANNELORE LISEI ◽  
KENING LU
Keyword(s):  
Initial Data ◽  
Nearest Neighbor ◽  
Invariant Set ◽  
Neighbor Interaction ◽  
Forward Flow ◽  
Dimensional Lattice ◽  
One Dimensional ◽  
Nonlinear Reaction ◽  
Lattice Dynamical Systems ◽  
Bounded Sets

We consider a one-dimensional lattice with diffusive nearest neighbor interaction, a dissipative nonlinear reaction term and additive independent white noise at each node. We prove the existence of a compact global random attractor within the set of tempered random bounded sets. An interesting feature of this is that, even though the spatial domain is unbounded and the solution operator is not smoothing or compact, pulled back bounded sets of initial data converge under the forward flow to a random compact invariant set.

Thermodynamics of the one-dimensional Hubbard model with next-nearest-neighbor hopping

2004 ◽  
Vol 354 (1-4) ◽  
pp. 293-296 ◽  
Author(s):  
A.M.C. Souza ◽  
C.A. Macedo ◽  
M.L. Moreira
Keyword(s):  
Hubbard Model ◽  
Nearest Neighbor ◽  
One Dimensional ◽  
The One
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