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We use a combination of numeric and analytic techniques to determine the groun d state phase diagram of the Bose--Hubbard Hamiltonian with longer range repulsi ve interactions. At half filling one finds superfluidity and an insulating solid…

Condensed Matter · Physics 2009-10-22 G. G. Batrouni , R. T. Scalettar , G. T. Zimanyi , A. P. Kampf

We obtain the phase diagram of the half-filled two-dimensional Hubbard model on a square lattice in the presence of Einstein phonons. We find that the interplay between the instantaneous electron-electron repulsion and electron-phonon…

Strongly Correlated Electrons · Physics 2007-05-23 F. D. Klironomos , S. -W. Tsai

We study the zero-temperature phase diagram of the half-filled one-dimensional ionic Hubbard model. This model is governed by the interplay of the on-site Coulomb repulsion and an alternating one-particle potential. Various many-body energy…

Strongly Correlated Electrons · Physics 2009-11-10 S. R. Manmana , V. Meden , R. M. Noack , K. Schoenhammer

We investigated the fidelity susceptibility in the one-dimension (1D) Hubbard model and the extended Hubbard model at half-filling via the density matrix renormalization group. From the numerical results, we argue that in the 1D Hubbard…

Strongly Correlated Electrons · Physics 2014-08-13 Wing Chi Yu , Shi-Jian Gu , Hai-Qing Lin

The commensurate $p/q$-filled $n$-component Hubbard chain was investigated by bosonization and high-precision density-matrix renormalization-group analysis. It was found that depending on the relation between the number of components $n$,…

Strongly Correlated Electrons · Physics 2008-05-08 E. Szirmai , Ö. Legeza , J. Sólyom

We study a two dimensional super-lattice Bose-Hubbard model with alternating hoppings in the limit of strong on-site interactions. We evaluate the phase diagram of the model around half-filling using the density matrix renormalization group…

Quantum Gases · Physics 2020-08-05 Julian Bibo , Izabella Lovas , Yizhi You , Fabian Grusdt , Frank Pollmann

Using large-scale dynamical cluster quantum Monte Carlo simulations, we explore the unconventional superconductivity in the hole-doped Hubbard model on the triangular lattice. Due to the interplay of electronic correlations, geometric…

Strongly Correlated Electrons · Physics 2013-07-09 Kuang Shing Chen , Zi Yang Meng , Unjong Yu , Shuxiang Yang , Mark Jarrell , Juana Moreno

In nonperturbative regimes, the superfluid instability in the two-dimensional Hubbard model can be described by an emergent BCS theory with small effective pairing constants. We compute the effective couplings using a controlled bold-line…

Strongly Correlated Electrons · Physics 2021-07-28 Fedor Šimkovic , Youjin Deng , Evgeny Kozik

Making use of symmetry properties and known exact results for the Hubbard Model on bipartite lattice, we show that (1) there is no phase separation for repulsive coupling at low dopings, (2) phase separation and superconductivity co-exist…

Condensed Matter · Physics 2007-05-23 Chi Au , Bao-Heng Zhao , H. T. Nieh

We study the Extended Bose-Hubbard Model with a three-body onsite interaction. Using an exact diagonalization method and a variational Matrix Product States algorithm, \emph{Alps mps-optim}, we compute and analyse the energy charge gap and…

Quantum Gases · Physics 2020-09-09 Henry Otobrise , Kunle Adegoke

We report a large-scale density-matrix renormalization group study of the lightly doped Hubbard model on 4-leg cylinders at hole doping concentration $\delta=12.5\%$. By keeping a large number of states for long system sizes, we are able to…

Strongly Correlated Electrons · Physics 2019-09-30 Hong-Chen Jiang , Thomas P. Devereaux

We derive an effective Hamiltonian for the one-dimensional Hubbard-Holstein model, valid in a regime of both strong electron-electron (e-e) and electron-phonon (e-ph) interactions and in the non-adiabatic limit ($t/\omega_0 \leq 1$), by…

Strongly Correlated Electrons · Physics 2015-05-20 Sahinur Reja , Sudhakar Yarlagadda , Peter B. Littlewood

We investigate the phase diagram of the one-dimensional repulsive Hubbard model with mass imbalance. Using DMRG, we show that this model has a "triplet" paired phase (dubbed $\pi \mathrm{SG}$) at generic fillings, consistent with previous…

Strongly Correlated Electrons · Physics 2021-11-22 Yuchi He , David Pekker , Roger S. K. Mong

We study the `asymmetric' Hubbard model, where hoppings of electrons depend on their spin. For strong interactions and sufficiently asymmetric hoppings, it is proved that the ground state displays phase separation away from half-filling.…

Mathematical Physics · Physics 2007-05-23 Daniel Ueltschi

The average and local structures of the (PbTe)1-x(PbS)x system of thermoelectric materials has been studied using the Rietveld and atomic pair distribution function (PDF) methods. Samples with 0:25 < x are macroscopically phase separated.…

Materials Science · Physics 2007-05-23 H. Lin , E. S. Bozin , S. J. L. Billinge , J. Androulakis , C. H. Lin , M. G. Kanatzidis

Asymptotic properties of nearly-half-filled one-dimensional conductors coupled with phonons are studied through a renormalization group method. Due to spin-charge coupling via electron-phonon interaction, the spin correlation varies with…

Strongly Correlated Electrons · Physics 2009-04-27 K. Yonemitsu , M. Imada

Materials with nanoscale phase separation are considered. These materials are formed by a mixture of several phases, so that inside one phase there exist nanosize inclusions of other phases, with random shapes and random spatial locations.…

Mesoscale and Nanoscale Physics · Physics 2014-03-31 V. I. Yukalov , E. P. Yukalova

We study the behavior of fermion liquid defined on hexagonal and triangular lattices with short-range repulsion at half filling. In strong coupling limit the Mott-Hubbard phase state is present, the main peculiarity of insulator state is a…

Strongly Correlated Electrons · Physics 2021-09-17 Igor N. Karnaukhov , Kateryna Levchuk , Igor N. Dubinski

An essentially exact solution of the infinite dimensional Hubbard model is made possible by using a self-consistent mapping of the Hubbard model in this limit to an effective single impurity Anderson model. Solving the latter with quantum…

Condensed Matter · Physics 2009-10-22 M. Jarrell , Thomas Pruschke

We present a comprehensive numerical study on the ground state phase diagram of the two-dimensional hardcore boson extended Hubbard model with nearest ($V_1$) and next nearest neighbor ($V_2$) repulsions. In addition to the quantum solid…

Strongly Correlated Electrons · Physics 2009-11-13 Kwai-Kong Ng , Y. C. Chen