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Using the density matrix renormalization group algorithm, we investigate the lattice model for spinless fermions in one dimension in the presence of a strong interaction and disorder. The phase sensitivity of the ground state energy is…

Strongly Correlated Electrons · Physics 2009-10-30 P. Schmitteckert , T. Schulze , C. Schuster , P. Schwab , U. Eckern

We study the delocalization effect of a short-range repulsive interaction on the ground state of a finite density of spinless fermions in strongly disordered one dimensional lattices. The density matrix renormalization group method is used…

Strongly Correlated Electrons · Physics 2009-10-31 Dietmar Weinmann , Peter Schmitteckert , Rodolfo A. Jalabert , Jean-Louis Pichard

We present a new numerical approach to the study of disorder and interactions in quasi-1D systems which combines aspects of the transfer matrix method and the density matrix renormalization group which have been successfully applied to…

Strongly Correlated Electrons · Physics 2009-11-10 J M Carter , A MacKinnon

Using the density matrix renormalization group (DMRG) method, we study the quantum coherence in one-dimensional disordered Fermi systems. We consider in detail spinless fermions on a ring, and compare the influence of several kinds of…

Strongly Correlated Electrons · Physics 2017-09-27 C. Schuster , U. Eckern

In order to study the effect of interaction and lattice distortion on quantum coherence in one-dimensional Fermi systems, we calculate the ground state energy and the phase sensitivity of a ring of interacting spinless fermions on a…

Strongly Correlated Electrons · Physics 2009-10-31 Cosima Schuster , Ulrich Eckern

We use the density matrix renormalization group method to study the ground state properties of an antiferromagnetic spin-$1$ chain with a next-nearest neighbor exchange $J_2 ~$ and an alternation $\delta$ of the nearest neighbor exchanges.…

Condensed Matter · Physics 2009-10-28 Swapan Pati , R. Chitra , Diptiman Sen , H. R. Krishnamurthy , S. Ramasesha

We apply Density Matrix Renormalization Group methods to study the phase diagram of the quantum ANNNI model in the region of low frustration where the ferromagnetic coupling is larger than the next-nearest-neighbor antiferromagnetic one. By…

Statistical Mechanics · Physics 2010-11-05 Matteo Beccaria , Massimo Campostrini , Alessandra Feo

We discuss techniques of the density matrix renormalization group and their application to interacting fermion systems in more than one dimension. We show numerical results for equal--time spin--spin and singlet pair field correlation…

Condensed Matter · Physics 2007-05-23 R. M. Noack , S. R. White , D. J. Scalapino

We study spinless fermions on a finite chain with nearest-neighbor repulsion and in the presence of a Wannier-Stark linearly-varying electric field potential. In the absence of the interaction, the eigenstates are localized for the system's…

Strongly Correlated Electrons · Physics 2025-02-10 Nair Aucar Boidi , Amnon Aharony , Ora Entin-Wohlman , Karen Hallberg , Cesar Proetto

We consider a system of fermions with a quasi-random almost-Mathieu disorder interacting through a many-body short range potential. We establish exponential decay of the zero temperature correlations, indicating localization of the…

Mathematical Physics · Physics 2016-12-12 Vieri Mastropietro

We analyse the ground state of spinless fermions on a lattice in a weakly disordered potential, interacting via a nearest neighbour interaction, by applying the self-consistent Hartree-Fock approximation. We find that charge density…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Paul N. Walker , Yuval Gefen , Gilles Montambaux

The non-equilibrium spin dynamics of a one-dimensional system of repulsively interacting fermions is studied by means of density-matrix renormalization-group simulations. We focus on the short-time decay of the oscillation amplitudes of the…

Strongly Correlated Electrons · Physics 2012-06-20 Sebastiano Peotta , Davide Rossini , Pietro Silvi , G. Vignale , Rosario Fazio , Marco Polini

We use the density matrix renormalization group method to study the ground state `phase' diagram and some low-energy properties of isotropic antiferromagnetic spin-$1 \over 2$ and spin-$1$ chains with a next-nearest neighbor exchange $J_2…

Condensed Matter · Physics 2009-10-28 Swapan Pati , R. Chitra , Diptiman Sen , S. Ramasesha , H. R. Krishnamurthy

We study the phase diagram of spinless fermions with nearest and next-nearest-neighbor interactions in one dimension utilizing the (finite-size) density-matrix renormalization group (DMRG) method. The competition between nearest and…

Strongly Correlated Electrons · Physics 2011-09-28 Tapan Mishra , Juan Carrasquilla , Marcos Rigol

We use the Density-Matrix Renormalization Group to study the single-particle and two-particle correlation functions of spinless fermions in the ground state of a quarter-filled ladder. This ladder consists of two chains having an in-chain…

Strongly Correlated Electrons · Physics 2009-11-07 L. G. Caron , C. Bourbonnais

Entanglement related properties work as nice fingerprint of the quantum many-body wave function. However, those of fermionic models are hard to evaluate in standard numerical methods because they suffer from finite size effects. We show…

Strongly Correlated Electrons · Physics 2020-11-04 Xavier Plat , Chisa Hotta

A one-dimensional electron system at quarter-filling has been examined by applying the renormalization group method to a bosonized model with on-site (U) and nearest-neighbor (V) repulsive interactions. By evaluating both normal scattering…

Strongly Correlated Electrons · Physics 2009-10-31 Hideo Yoshioka , Masahisa Tsuchiizu , Yoshikazu Suzumura

We study the finite-energy density phase diagram of spinless fermions with attractive interactions in one dimension in the presence of uncorrelated diagonal disorder. Unlike the case of repulsive interactions, a delocalized Luttinger-liquid…

Strongly Correlated Electrons · Physics 2018-01-22 Sheng-Hsuan Lin , B. Sbierski , F. Dorfner , C. Karrasch , F. Heidrich-Meisner

It has become increasingly clear that a full understanding of the physics of electrons in disordered systems requires an approach in which both disorder and interactions are taken into account. Work on small numbers of electrons has…

Disordered Systems and Neural Networks · Physics 2007-05-23 Jonathan M Carter , Angus MacKinnon

The effect of spatially modulated interaction on quantum phase transition in one-dimensional interacting spinless fermion system is theoretically investigated by exact diagonalization and density matrix renormalization group method. Our…

Strongly Correlated Electrons · Physics 2020-08-27 Zheng-Wei Zuo , Da-wei Kang , Liben Li
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