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Related papers: Critical Entanglement for the Half-Filled Extended…

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We study the properties of the ground states of the one- and two-dimensional Hubbard models at half filling and moderate doping using entanglement-based measures, which we calculate numerically using the momentum-space density matrix…

Strongly Correlated Electrons · Physics 2017-07-06 G. Ehlers , J. Sólyom , Ö. Legeza , R. M. Noack

We calculate the half-chain entanglement entropy of the ground state in the one-dimensional spinless fermion model. Considering a tiny corner of the Hilbert space represented by matrix product states, we efficiently find the ground state by…

Strongly Correlated Electrons · Physics 2017-02-01 Myung-Hoon Chung

We study the ground state quantum phase transition by means of entanglement in the one-dimensional asymmetric Hubbard model with open boundary condition. The local entanglement between the middle two sites and the rest of the system, and…

Strongly Correlated Electrons · Physics 2009-11-13 W. L. Chan , S. J. Gu

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

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 study the effects due to limited entanglement in the one-dimensional Hubbard model by representing the ground states in the form of the matrix product states. Finite-entanglement scaling behavior over a wide range is observed at…

Strongly Correlated Electrons · Physics 2019-01-02 Min-Chul Cha

We report on tensor renormalization group calculations of entanglement entropy in one-dimensional quantum systems. The reduced density matrix of a Gibbs state can be represented as a $1 + 1$-dimensional tensor network, which is analogous to…

High Energy Physics - Lattice · Physics 2025-02-13 Takahiro Hayazaki , Daisuke Kadoh , Shinji Takeda , Gota Tanaka

We investigate the entanglement in Hubbard models of hardcore bosons in $1D$, with an additional hardcore interaction on nearest neighbouring sites. We derive analytical formulas for the bipartite entanglement entropy for any number of…

Strongly Correlated Electrons · Physics 2019-08-07 Ioannis Kleftogiannis , Ilias Amanatidis , Vladislav Popkov

We use a density matrix renormalization group method to study quantitatively the phase diagram of a one-dimensional extended Hubbard model at half-filling by investigating the correlation functions and structure factors. We confirm the…

Strongly Correlated Electrons · Physics 2007-05-23 Y. Z. Zhang

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

The von Neumann entanglement entropy is studied with the density-matrix renormalization group technique. We propose a simple approach to calculate the central charge using the entanglement entropy for one-dimensional (1D) quantum system.…

Strongly Correlated Electrons · Physics 2015-05-30 Satoshi Nishimoto

Recently the ground state and some excited states of the half-filled case of the 1d Hubbard model were discussed for an open chain with L sites. Authors considered the case when the boundary site has a negative chemical potential -p and the…

Strongly Correlated Electrons · Physics 2007-09-04 O. Hudak

We study Renyi and von Neumann entanglement entropies in the ground state of the one dimensional quarter-filled Hubbard model with periodic boundary conditions. We show that they exhibit an unexpected dependence on system size: for L=4 mod…

Strongly Correlated Electrons · Physics 2014-10-06 Pasquale Calabrese , Fabian H. L. Essler , Andreas M. Lauchli

The phase diagram of the one-dimensional extended Hubbard model at half-filling is investigated by a weak coupling renormalization group method applicable beyond the usual continuum limit for the electron spectrum and coupling constants. We…

Strongly Correlated Electrons · Physics 2011-04-04 M. Ménard , C. Bourbonnais

We study entanglement in dimerized Heisenberg systems. In particular, we give exact results of ground-state pairwise entanglement for the four-qubit model by identifying a Z_2 symmetry. Although the entanglements cannot identify the…

Quantum Physics · Physics 2015-06-26 Zhe Sun , XiaoGuang Wang , AnZi Hu , You-Quan Li

We study the entanglement properties of anisotropic open spin one-half Heisenberg chains with a modified central bond. The entanglement entropy between the two half-chains is calculated with the density-matrix renormalization method…

Statistical Mechanics · Physics 2009-11-11 Jize Zhao , Ingo Peschel , Xiaoqun Wang

We propose a new combined approach of the exact diagonalization, the renormalization group and the Bethe ansatz for precise estimates of the charge gap $\Delta$ in the one-dimensional extended Hubbard model with the onsite and the…

Strongly Correlated Electrons · Physics 2015-06-25 K. Sano , Y. Ono

We derive exact expressions for the local entanglement entropy E in the ground state of the one-dimensional Hubbard model at a quantum phase transition driven by a change in magnetic field h or chemical potential u. The leading divergences…

Strongly Correlated Electrons · Physics 2009-11-11 Daniel Larsson , Henrik Johannesson

We study the one-dimensional quarter-filled extended Hubbard model with an alternating transfer integral. In the strong-dimerization limit the charge part is described by the quantum Ising model which shows the two-dimensional Ising…

Strongly Correlated Electrons · Physics 2009-11-10 Hiromi Otsuka , Masaaki Nakamura

The entanglement entropy of a pure quantum state of a bipartite system is defined as the von Neumann entropy of the reduced density matrix obtained by tracing over one of the two parts. Critical ground states of local Hamiltonians in one…

Strongly Correlated Electrons · Physics 2016-09-08 Eduardo Fradkin
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