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We investigate the ground state properties of a newly discovered phase of one dimensional lattice bosons with extended interactions (see E. G. Dalla Torre et al., Phys. Rev. Lett. \textbf{97}, 260401 (2006)). The new phase, termed the…

Strongly Correlated Electrons · Physics 2008-06-18 Erez Berg , Emanuele G. Dalla Torre , Thierry Giamarchi , Ehud Altman

We discuss the existence of a nontrivial topological phase in one-dimensional interacting systems described by the extended Bose-Hubbard model with a mean filling of one boson per site. Performing large-scale density-matrix renormalization…

Quantum Gases · Physics 2014-07-11 Satoshi Ejima , Florian Lange , Holger Fehske

We investigate the phase diagram of spinless bosons with long range (~ 1/r^3) repulsive interactions, relevant to ultracold polarized atoms or molecules, using DMRG. Between the two conventional insulating phases, the Mott and density wave…

Other Condensed Matter · Physics 2007-05-23 Emanuele G. Dalla Torre , Erez Berg , Ehud Altman

We carry out an extensive study of the phase diagram of the extended Bose Hubbard model, with a mean filling of one boson per site, in one dimension by using the density matrix renormalization group and show that it can have Superfluid…

Quantum Gases · Physics 2014-03-11 Jamshid Moradi Kurdestany , Ramesh V. Pai , Subroto Mukerjee , Rahul Pandit

We demonstrate numerically the existence of a nontrivial topological Haldane phase for the one-dimensional extended ($U$-$V$) Hubbard model with a mean density of one particle per site, not only for bosons but also for anyons, despite a…

Quantum Gases · Physics 2017-03-27 Florian Lange , Satoshi Ejima , Holger Fehske

We carry out an extensive study of the phase diagrams of the extended Bose Hubbard model, with a mean filling of one boson per site, in one dimension by using the density matrix renormalization group and show that it contains Superfluid…

Quantum Gases · Physics 2012-11-26 Jamshid Moradi Kurdestany , Ramesh V. Pai , Subroto Mukerjee , Rahul Pandit

By performing large-scale density-matrix renormalization group simulations, we investigate a one-dimensional correlated bosonic lattice model with a synthetic spin-orbit coupling realized in recent experiments. In the insulating regime,…

Strongly Correlated Electrons · Physics 2017-01-17 Jize Zhao , Shijie Hu , Ping Zhang

Recent experiments on ultracold dipoles in optical lattices open exciting possibilities for the quantum simulation of extended Hubbard models. When considered in one dimension, these models present at unit filling a particularly interesting…

Using density matrix renormalization group numerical calculations, we study the phase diagram of the half filled Bose-Hubbard system in the sawtooth lattice with strong frustration in the kinetic energy term. We focus in particular on…

Quantum Gases · Physics 2017-05-03 Benoît Grémaud , G. George Batrouni

The interacting bosons in one-dimensional inversion-symmetric superlattices are investigated from the topological aspect. The complete phase diagram is obtained by an atomic-limit analysis and quantum Monte Carlo simulations and comprises…

Quantum Gases · Physics 2015-06-23 Tianhe Li , Huaiming Guo , Shu Chen , Shun-Qing Shen

We explore topological properties of a modulated Haldane model (MHM) in which the strength of the nearest-neighbor and next-nearest-neighbor terms is made unequal and the three-fold rotational symmetry $\mathcal{C}_3$ is broken by…

Mesoscale and Nanoscale Physics · Physics 2021-09-23 Baokai Wang , Xiaoting Zhou , Hsin Lin , Arun Bansil

We present an unbiased numerical density-matrix renormalization group study of the one-dimensional Bose-Hubbard model supplemented by nearest-neighbor Coulomb interaction and bond dimerization. It places the emphasis on the determination of…

Quantum Gases · Physics 2019-01-30 Koudai Sugimoto , Satoshi Ejima , Florian Lange , Holger Fehske

Using dynamical mean-field theory and exact diagonalization we study the phase diagram of the repulsive Haldane-Hubbard model, varying the interaction strength and the sublattice potential difference. In addition to the quantum Hall phase…

Quantum Gases · Physics 2016-06-08 Tuomas I. Vanhala , Topi Siro , Long Liang , Matthias Troyer , Ari Harju , Päivi Törmä

Interacting lattice bosons at integer filling can support two distinct insulating phases, which are separated by a critical point: the Mott insulator and the Haldane insulator[Phys. Rev. Lett. 97, 260401 (2006)]. The critical point can be…

Strongly Correlated Electrons · Physics 2011-03-29 Erez Berg , Michael Levin , Ehud Altman

The one-dimensional extended bosonic Hubbard model has been shown to exhibit a variety of phases ranging from Mott insulator and superfluid to exotic supersolids and Haldane insulators depending on the filling and the relative value of the…

Quantum Gases · Physics 2016-01-20 Benoît Grémaud , George G. Batrouni

The Haldane model is a standard tight-binding model describing electrons hopping on a hexagonal lattice subject to a transverse, dipolar magnetic field. We consider its interacting version for values of the interaction strength that are…

Strongly Correlated Electrons · Physics 2025-10-13 Simone Fabbri , Alessandro Giuliani , Robin Reuvers

The Haldane Insulator is a gapped phase characterized by an exotic non-local order parameter. The parameter regimes at which it might exist, and how it competes with alternate types of order, such as supersolid order, are still incompletely…

Quantum Gases · Physics 2013-07-12 G. G. Batrouni , R. T. Scalettar , V. G. Rousseau , B. Grémaud

We investigate the two-leg Hubbard model with diagonal hopping to explore the interplay between geometrical frustration and strong electron-electron interactions. Using the Density Matrix Renormalization Group (DMRG) method, we demonstrate…

Strongly Correlated Electrons · Physics 2025-04-04 João Pedro Gama D'Elia , Thereza Paiva

We report a systematic study of the transition from a band insulator (BI) to a Mott insulator (MI) in a one-dimensional Hubbard model at half-filling with an on-site Coulomb interaction U and an alternating periodic site potential V. We…

Strongly Correlated Electrons · Physics 2009-10-31 Jizhong Lou , Shaojin Qin , Tao Xiang , Changfeng Chen , Guang-Shan Tian , Zhaobin Su

The system of spinless fermions on a hexagonal lattice is studied . We have considered tight-binding model with the hopping integrals between the nearest-neighbor and next-nearest-neighbor lattice sites, that depend on the direction of the…

Strongly Correlated Electrons · Physics 2017-04-27 Igor N. Karnaukhov
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