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We study the thermodynamics of the one-dimensional extended Hubbard model at half-filling using a density-matrix renormalization group method applied to transfer matrices. We show that the various phase transitions in this system can be…

Strongly Correlated Electrons · Physics 2007-11-04 S. Glocke , A. Klümper , J. Sirker

We examine critical properties of the quarter-filled one-dimensional Hubbard model with dimerization and with the onsite and nearest-neighbor Coulomb repulsion U and V. By utilizing the bosonization method, it is shown that the system…

Strongly Correlated Electrons · Physics 2009-11-07 M. Tsuchiizu , E. Orignac

Even though the Hubbard model is one of the most fundamental models of highly correlated electrons, analytical and numerical data describing its thermodynamics at nonzero magnetization are relatively scarce. We present a detailed…

Statistical Mechanics · Physics 2020-02-03 Ovidiu I. Patu , Andreas Klumper , Angela Foerster

Exploiting the matrix-product-state based density-matrix renormalization group (DMRG) technique we study the one-dimensional extended ($U$-$V$) Hubbard model with explicit bond dimerization in the half-filled band sector. In particular we…

Strongly Correlated Electrons · Physics 2018-04-27 Satoshi Ejima , Florian Lange , Fabian H. L. Essler , Holger Fehske

We investigate the neutral-to-ionic insulator-insulator transition in one-dimensional materials by treating a strong-coupling effective model based on the ionic Hubbard model using the density-matrix renormalization group and finite-size…

Strongly Correlated Electrons · Physics 2015-05-13 L. Tincani , R. M. Noack , D. Baeriswyl

We study the ground state of the two-dimensional Anderson-Hubbard model using a quantum real space renormalization group method. We obtain the phase diagram near half filling. The system is always insulating with disorder. At half filling,…

Condensed Matter · Physics 2007-05-23 Jaichul Yi Lizeng Zhang , Geoff S Canright

We study quantum phase transitions by measuring the bond energy, the number density, and the half-chain entanglement entropy in the one-dimensional ionic Hubbard model. By performing the infinite density matrix renormalization group with…

Strongly Correlated Electrons · Physics 2021-02-24 Myung-Hoon Chung

Using quantum field theory and bosonization, we determine the quantum phase diagram of the one-dimensional Hubbard model with bond-charge interaction $X$ in addition to the usual Coulomb repulsion $U$ at half-filling, for small values of…

Strongly Correlated Electrons · Physics 2010-11-30 A. O. Dobry , A. A. Aligia

The two-dimensional Holstein-Hubbard model is studied by means of continuous-time quantum Monte Carlo simulations. Using renormalization-group-invariant correlation ratios and finite-size extrapolation, the critical temperature of the…

Strongly Correlated Electrons · Physics 2018-08-06 Manuel Weber , Martin Hohenadler

We investigate the ground-state phase diagram of the one-dimensional "ionic" Hubbard model with an alternating periodic potential at half-filling by numerical diagonalization of finite systems with the Lanczos and density matrix…

Strongly Correlated Electrons · Physics 2009-11-10 A. P. Kampf , M. Sekania , G. I. Japaridze , Ph. Brune

We study the ground state of the one-dimensional half-filled Hubbard model with on-site (nearest-neighbor) repulsive interaction $U$ ($V$) and nearest-neighbor hopping $t$. In order to obtain an accurate phase diagram, we consider various…

Strongly Correlated Electrons · Physics 2007-11-20 Satoshi Ejima , Satoshi Nishimoto

The ionic Hubbard model is investigated at half filling at zero temperature. We apply the cellular dynamical mean-field theory to the one-dimensional ionic Hubbard model to compute local quantities such as double occupancy and staggered…

Strongly Correlated Electrons · Physics 2011-11-07 Ara Go , Gun Sang Jeon

We examine the phase diagram of the half-filled one-dimensional extended Hubbard model using quantum information entropies within the density-matrix renormalization group. It is well known that there is a charge-density-wave phase at large…

Strongly Correlated Electrons · Physics 2015-05-13 C. Mund , O. Legeza , R. M. Noack

We use the fidelity approach to quantum critical points to study the zero temperature phase diagram of the one-dimensional Hubbard model. Using a variety of analytical and numerical techniques, we analyze the fidelity metric in various…

Statistical Mechanics · Physics 2009-11-13 L. Campos Venuti , M. Cozzini , P. Buonsante , F. Massel , N. Bray-Ali , P. Zanardi

The ordering of charges on half-filled hypercubic lattices is investigated numerically, where electroneutrality is ensured by background charges. This system is equivalent to the $s = 1/2$ Ising lattice model with antiferromagnetic $1/r$…

Statistical Mechanics · Physics 2009-06-03 A. Mobius , U. K. Roessler

We study the low-temperature critical behavior of the one-dimensional Hubbard model near half filling caused by enhanced antiferromagnetic fluctuations. We use a mean-field-type approximation with a two-particle self-consistency…

Strongly Correlated Electrons · Physics 2021-09-10 Václav Janiš , Antonín Klíč , Jiawei Yan

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

We consider a modification of the one-dimensional Hubbard model by including an external pairing potential. Guided by analytic bosonization results, we quantitatively determine the grand-canonical zero-temperature phase diagram using both…

Strongly Correlated Electrons · Physics 2021-01-20 Myung-Hoon Chung , Edmond Orignac , Didier Poilblanc , Sylvain Capponi

One-band Hubbard model with hopping parameter $t$ and Coulomb repulsion $U$ is considered at half filling. By means of the Schwinger bosons and slave Fermions representation of the electron operators and integrating out the spin-singlet…

Strongly Correlated Electrons · Physics 2015-06-04 Naoum Karchev

The density-matrix renormalization group is used to study the phase diagram of the one-dimensional half-filled Hubbard model with on-site (U) and nearest-neighbor (V) repulsion, and hopping t. A critical line V_c(U) approximately equal to…

Strongly Correlated Electrons · Physics 2009-11-07 Eric Jeckelmann
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