scholarly journals Thermalization rates in the one-dimensional Hubbard model with next-to-nearest neighbor hopping

2017 ◽  
Vol 95 (10) ◽  
Author(s):  
Fabian R. A. Biebl ◽  
Stefan Kehrein
Keyword(s):  
Hubbard Model ◽  
Nearest Neighbor ◽  
One Dimensional ◽  
The One

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

scholarly journals Haldane insulator in the 1D nearest-neighbor extended Bose-Hubbard model with cavity-mediated long-range interactions

2020 ◽  
Vol 93 (6) ◽  
Author(s):  
Johannes Sicks ◽  
Heiko Rieger
Keyword(s):  
Hubbard Model ◽  
Quantum Monte Carlo ◽  
Nearest Neighbor ◽  
Mean Field ◽  
Local Order ◽  
One Dimensional ◽  
Hubbard Models ◽  
Long Range Interactions ◽  
Non Local ◽  
The One

Abstract In the one-dimensional Bose-Hubbard model with on-site and nearest-neighbor interactions, a gapped phase characterized by an exotic non-local order parameter emerges, the Haldane insulator. Bose-Hubbard models with cavity-mediated global range interactions display phase diagrams, which are very similar to those with nearest-neighbor repulsive interactions, but the Haldane phase remains elusive there. Here we study the one-dimensional Bose-Hubbard model with nearest-neighbor and cavity-mediated global-range interactions and scrutinize the existence of a Haldane Insulator phase. With the help of extensive quantum Monte-Carlo simulations we find that in the Bose-Hubbard model with only cavity-mediated global-range interactions no Haldane phase exists. For a combination of both interactions, the Haldane Insulator phase shrinks rapidly with increasing strength of the cavity-mediated global-range interactions. Thus, in spite of the otherwise very similar behavior the mean-field like cavity-mediated interactions strongly suppress the non-local order favored by nearest-neighbor repulsion in some regions of the phase diagram. Graphical abstract

scholarly journals Renormalization Group Approach to the One–Dimensional 1/4–Filled Hubbard Model with Alternating on–Site Interactions

1997 ◽  
Vol 11 (16) ◽  
pp. 1925-1936 ◽  
Author(s):  
G. Jackeli ◽  
G. Japaridze
Keyword(s):  
Renormalization Group ◽  
Hubbard Model ◽  
Excitation Spectrum ◽  
Nearest Neighbor ◽  
Coupling Constants ◽  
Antiferromagnetic Order ◽  
One Dimensional ◽  
Dynamical Generation ◽  
Renormalization Group Approach ◽  
The One

The one-dimensional Hubbard model with different on-site interactions is investigated by renormalization group technique. In the case of a 1/4-filled band the dynamical nonequivalence of sites leads to the appearance of Umklapp processes in the system, and to the dynamical generation of a gap in the charge excitation spectrum for Ua≠Ub, Ua>0 or Ub>0. The ground-state phase diagram is obtained in the limit of second order renormalization. Depending on the sign and relative values of the bare coupling constants, there is a gap in the spin or charge excitation spectrum, and the model system tends to superconducting or antiferromagnetic order at T=0, with doubled period. The role of interaction between particles on nearest and next-nearest neighbor sites is also considered.

Influence of spin exchange anisotropy on phase diagram of the one-dimensional t-U-V-J⊥-Jz model

2014 ◽  
Vol 28 (09) ◽  
pp. 1450069
Author(s):  
Eryin Lin ◽  
Hanqin Ding ◽  
Jun Zhang
Keyword(s):  
Phase Diagram ◽  
Hubbard Model ◽  
Nearest Neighbor ◽  
Spin Exchange ◽  
Coulomb Repulsion ◽  
Exchange Anisotropy ◽  
Spin Correlations ◽  
One Dimensional ◽  
The Rich ◽  
The One

In this paper, we study analytically a one-dimensional half-filled Hubbard model with nearest-neighbor Coulomb repulsion (V) and anisotropic spin exchange (J⊥ ≠ Jz) via the bosonization and renormalization-group (RG) techniques, and establish the rich phase diagrams based on the charge-spin separation hypothesis in the weak-coupling regime. The spin exchange anisotropy induces a non-critical behavior of spin correlations. The result indicates that the spin exchange anisotropy has an important impact on the topological phase diagram of the 1D extended Hubbard model.

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