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Using the density matrix renormalization group algorithm, we study the model of spinless fermions with nearest-neighbor interaction on a ring in the presence of disorder. We determine the spatial decay of the density induced by a defect…

Condensed Matter · Physics 2009-10-28 P. Schmitteckert , 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 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 study the entanglement entropy(EE) of disordered one-dimensional spinless fermions with attractive interactions. With intensive numerical calculation of the EE using the density matrix renormalization group method, we find clear…

Mesoscale and Nanoscale Physics · Physics 2013-03-08 Rui-Lin Chu , An Zhao , Shun-Qing Shen

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

The interplay between local, repulsive interactions and disorder acting only on one spin orientation of lattice fermions ("spin-dependent disorder") is investigated. The nonmagnetic disorder vs. interaction phase diagram is computed using…

Disordered Systems and Neural Networks · Physics 2015-09-25 J. Skolimowski , D. Vollhardt , K. Byczuk

We explore systematically the ground state properties of one dimensional fermions with long-range interactions decaying in a power law $\sim1/r^\alpha$ through the density matrix renormalization group algorithm. By comparing values of…

Strongly Correlated Electrons · Physics 2019-04-30 Zhi-Hua Li

We suggest that if a localized phase at nonzero temperature $T>0$ exists for strongly disordered and weakly interacting electrons, as recently argued, it will also occur when both disorder and interactions are strong and $T$ is very high.…

Strongly Correlated Electrons · Physics 2009-11-11 Vadim Oganesyan , David A. Huse

We propose and test an algorithm to simulate a lattice system of interacting fermions in two spatial dimensions. The approach is an extension of the entanglement renormalization technique [Phys. Rev. Lett. 99, 220405 (2007)] and the related…

Strongly Correlated Electrons · Physics 2010-03-05 Philippe Corboz , Glen Evenbly , Frank Verstraete , Guifre Vidal

We map out the phase diagram of the one--dimensional Anderson lattice by studying the ground state magnetization as a function of band--filling using the density matrix renormalization group technique. For strong coupling, we find that the…

Condensed Matter · Physics 2009-10-28 M. Guerrero , R. M. Noack

We study analytically and numerically the problem of two particles with a long range attractive interaction on a two-dimensional (2d) lattice with disorder. It is shown that below some critical disorder the interaction creates delocalized…

Condensed Matter · Physics 2009-10-31 J. Lages , D. L. Shepelyansky

We study the spectral statistics of interacting spinless fermions in a two-dimensional disordered lattice. Within a full quantum treatment for small few-particle-systems, we compute the low-energy many-body states numerically. While at weak…

Strongly Correlated Electrons · Physics 2009-11-10 Gabriel Vasseur , Dietmar Weinmann

The density matrix renormalization group method is applied to obtain the ground state phase diagram of the single impurity Anderson model on the honeycomb lattice at half filling. The calculation of local static quantities shows that the…

Strongly Correlated Electrons · Physics 2016-06-23 Tomonori Shirakawa , Seiji Yunoki

This study investigates the entanglement properties of disordered free fermion systems undergoing an Anderson phase transition from a delocalized to a localized phase. The entanglement entropy is employed to quantify the degree of…

Strongly Correlated Electrons · Physics 2023-09-26 Mohammad Pouranvari

A mixture of two fermionic species with different masses is studied in an optical lattice. The heavy fermions are subject only to thermal fluctuations, the light fermions also to quantum fluctuations. We derive the Ising-like distribution…

Disordered Systems and Neural Networks · Physics 2009-04-13 O. Fialko , K. Ziegler

We propose a lattice model for Dirac fermions which allows us to break the degeneracy of the node structure. In the presence of a random gap we analyze the scaling behavior of the localization length as a function of the system width within…

Disordered Systems and Neural Networks · Physics 2014-12-23 A. Hill , K. Ziegler

We study the (de)localization phenomena of one-component lattice fermions in spin backgrounds. The O(3) classical spin variables on sites fluctuate thermally through the ordinary nearest-neighbor coupling. Their complex two-component…

Strongly Correlated Electrons · Physics 2018-11-21 Tetsuya Takaishi , Kazuhiko Sakakibara , Ikuo Ichinose , Tetsuo Matsui

We show that the two-dimensional density-matrix renormalization analysis is useful to detect the symmetry breaking in the fermionic model on a triangular lattice. Under the cylindrical boundary conditions with chemical potentials on edge…

Strongly Correlated Electrons · Physics 2015-05-13 S. Nishimoto , C. Hotta

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 propose an eigen-operator scheme to study the lattice model of interacting spinless fermions at half filling and show that this model possesses a hidden form of reflection positivity in its Majorana fermion representation. Based on this…

Strongly Correlated Electrons · Physics 2015-10-14 Zhong-Chao Wei , Xing-Jie Han , Zhi-Yuan Xie , Tao Xiang
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