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The interplay between electron-electron correlations and disorder has been a central theme of condensed matter physics over the last several decades, with particular interest in the possibility that interactions might cause delocalization…

Strongly Correlated Electrons · Physics 2021-03-12 Bo Xiao , Natanael C. Costa , Ehsan Khatami , George G. Batrouni , Richard T. Scalettar

We derive a "Wannier-Hubbard" model consisting of an array of overlapping atomic orbitals interacting via a local Coulomb interaction. Transforming to an orthogonal Wannier basis set, the resulting Hamiltonian displays long range hopping…

Strongly Correlated Electrons · Physics 2022-07-27 Samuel Milner , Phillip Weinberg , Adrian Feiguin

We investigate the nonequilibrium dynamics of charge density waves in a pumped one-dimensional Hubbard superlattice with staggered onsite Coulomb interactions at half-filling, using time-dependent exact diagonalization. In equilibrium, the…

Strongly Correlated Electrons · Physics 2026-04-23 Hua Chai , Zhenyu Cheng , Qinxin Hu , Zhongbing Huang , Xiang Hu , Xuedong Tian , Liang Du

Using the recently introduced multiloop extension of the functional renormalization group, we compute the magnetic, density, and superconducting susceptibilities of the two-dimensional Hubbard model at weak coupling and present a detailed…

Strongly Correlated Electrons · Physics 2023-08-16 Sarah Heinzelmann , Alessandro Toschi , Sabine Andergassen

By combining fermion Quantum Monte Carlo (QMC) simulations with diagrammatic theory, we have calculated the dielectric screening and the screened potential, in a quasi 2D Hubbard model for cuprate superconductors with and without 1/r…

Strongly Correlated Electrons · Physics 2007-05-23 H. -B. Schüttler , C. Gröber , H. G. Evertz , W. Hanke

The phenomenon associated with inhomogeneous distribution of electron density is known as a charge ordering. In this work, we study the zero-bandwidth limit of the extended Hubbard model, which can be considered as a simple effective model…

Strongly Correlated Electrons · Physics 2017-10-06 Konrad Jerzy Kapcia , Jan Barański , Andrzej Ptok

We investigate the transition to the insulating state in the one-dimensional Hubbard model with bond-charge interaction x (Hirsch model), at half-filling and T=0. By means of the density-matrix renormalization group algorithm the charge gap…

Strongly Correlated Electrons · Physics 2007-05-23 Alberto Anfossi , Cristian Degli Esposti Boschi , Arianna Montorsi , Fabio Ortolani

The pairing symmetry in the electron mechanism for superconductivity is explored when charge fluctuations coexist with spin fluctuations. The extended Hubbard model is adopted to obtain, with the fluctuation exchange approximation, a phase…

Superconductivity · Physics 2010-02-17 Seiichiro Onari , Ryotaro Arita , Kazuhiko Kuroki , Hideo Aoki

The performance of the density matrix renormalization group (DMRG) is strongly influenced by the choice of the local basis of the underlying physical lattice. We demonstrate that, for the two-dimensional Hubbard model, the hybrid…

Strongly Correlated Electrons · Physics 2017-03-22 G. Ehlers , S. R. White , R. M. Noack

We investigate the density of states (DOS) near the Fermi energy of one-dimensional spin-polarized electron systems in the quantum regime where the localization length is comparable to or larger than the inter-particle distance. The Wigner…

Condensed Matter · Physics 2009-10-28 Gun Sang Jeon , M. Y. Choi , S. -R. Eric Yang

The effects of a long range electronic potential on a one dimensional chain of spinless fermions are investigated by numerical techniques (Exact Diagonalisation of rings with up to 30 sites complemented by finite size analysis) and analytic…

Strongly Correlated Electrons · Physics 2009-10-31 Sylvain Capponi , Didier Poilblanc , Thierry Giamarchi

Recent investigations of the magnetic properties and the discovery of superconductivity in quasi-one-dimensional triangular lattice organic charge-transfer solids have indicated the severe limitations of the effective 1/2-filled band…

Strongly Correlated Electrons · Physics 2019-10-01 R. T. Clay , N. Gomes , S. Mazumdar

We develop two theoretical approaches for dealing with the low-energy effects of the repulsive interaction in one-dimensional electron systems. Renormalization Group methods allow us to study the low-energy behavior of the unscreened…

Strongly Correlated Electrons · Physics 2009-11-11 S. Bellucci , P. Onorato

The low-temperature properties of the two-dimensional attractive Hubbard model are strongly influenced by the fermion density. Away from half-filling, there is a finite-temperature transition to a phase with s-wave pairing order. However,…

Quantum Gases · Physics 2012-02-20 E. Assmann , S. Chiesa , G. G. Batrouni , H. G. Evertz , R. T. Scalettar

Recent experiments have shown rotation of the plane of polarization of light reflected from the surface of some superconductors. This indicates that time reversal and certain mirror symmetries are broken in the ordered phase. The photon…

Superconductivity · Physics 2017-05-16 Robert Joynt , Wen-Chin Wu

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

The interplay between Coulomb interactions and kinetic energy underlies many exotic phases in condensed matter physics. In a two-dimensional electronic system, If Coulomb interaction dominates over kinetic energy, electrons condense into a…

Mesoscale and Nanoscale Physics · Physics 2025-10-03 Chenggang Yang , Jun Lu , Hongzhang Wang , Jian Zeng , Wendong Bian , Zhengshan Guo , Jiankun Li , Yulei Zhang , Junwei Luo , Tian Pei

We investigate the superconducting state in a kagom\'e lattice, with intertwined charge order and time-reversal symmetry-breaking loop current, using self-consistent Bogoliubov-de Gennes formalism to find the emergent pairing symmetries.…

Superconductivity · Physics 2025-09-08 Pujita Das , Parth Bahuguna , Tulika Maitra , Narayan Mohanta

We have calculated the charge gap and spin gap for the two-chain Hubbard model as a function of the on-site Coulomb interaction and the interchain hopping amplitude. We used the density matrix renormalization group method and developed a…

Strongly Correlated Electrons · Physics 2009-10-31 Youngho Park , Shoudan Liang , T. K. Lee

We numerically investigate the telltale signs of pair-density-wave order (PDW) in the Kondo-Heisenberg chain by focusing on the momentum resolved spectrum in different parameter regimes. Density matrix renormalization group calculations…

Strongly Correlated Electrons · Physics 2026-04-27 Luhang Yang , Elbio Dagotto , Adrian E. Feiguin