Charge and spin excitation spectra in the one-dimensional Hubbard model with next-nearest-neighbor hopping

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

Download Full-text

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

International Journal of Modern Physics B ◽

10.1142/s021797929700099x ◽

1997 ◽

Vol 11 (16) ◽

pp. 1925-1936 ◽

Cited By ~ 1

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.

Download Full-text

One-hole excitation spectra of the one-dimensional Hubbard model

Physical Review B ◽

10.1103/physrevb.32.2167 ◽

1985 ◽

Vol 32 (4) ◽

pp. 2167-2177 ◽

Cited By ~ 15

Author(s):

A. M. Oleś ◽

G. Tréglia ◽

D. Spanjaard ◽

R. Jullien

Keyword(s):

Hubbard Model ◽

Excitation Spectra ◽

One Dimensional ◽

Hole Excitation ◽

The One

Download Full-text

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

Modern Physics Letters B ◽

10.1142/s0217984914500699 ◽

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.

Download Full-text