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It is believed that strong ferromagnetic orders in some solids are generated by subtle interplay between quantum many-body effects and spin-independent Coulomb interactions between electrons. Here we describe our rigorous and constructive…

Strongly Correlated Electrons · Physics 2009-11-10 Hal Tasaki

The microscopic basis for the stability of itinerant ferromagnetism in correlated electron systems is examined. To this end several routes to ferromagnetism are explored, using both rigorous methods valid in arbitrary spatial dimensions, as…

Strongly Correlated Electrons · Physics 2009-10-30 D. Vollhardt , N. Blümer , K. Held , M. Kollar , J. Schlipf , M. Ulmke

We have performed a variational Monte Carlo simulation to study the ground state of a two-dimensional Hubbard model on a square lattice in the strong coupling region. The energy gain of possible inhomogeneous electron states are computed as…

Strongly Correlated Electrons · Physics 2022-07-04 Mitake Miyazaki , Takashi Yanagisawa

Comparing experimental data for high temperature cuprate superconductors with numerical results for electronic models, it is becoming apparent that a hopping along the plaquette diagonals has to be included to obtain a quantitative…

Condensed Matter · Physics 2009-10-28 Daniel Duffy , Adriana Moreo

We study the phase diagram of the one-dimensional Hubbard model with next-nearest-neighbor hopping using exact diagonalization, the density-matrix renormalization group, the Edwards variational ansatz, and an adaptation of weak-coupling…

Strongly Correlated Electrons · Physics 2009-10-30 S. Daul , R. M. Noack

Detailed analysis of the magnetic properties of the Hubbard model within dynamical mean-field theory (DMFT) is presented. Using a RPA-like decoupling of two-particle propagators we derive a universal form for susceptibilities, which…

Strongly Correlated Electrons · Physics 2012-01-06 Sebastian Schmitt , Norbert Grewe , Torben Jabben

Ground state properties of the repulsive Hubbard model on a cubic lattice are investigated by means of the auxiliary-field quantum Monte Carlo method. We focus on low-density systems with varying on-site interaction $U/t$, as a model…

Quantum Gases · Physics 2010-12-30 Chia-Chen Chang , Shiwei Zhang , David M. Ceperley

Density matrix renormalization group method is used to analyze how the nearest-neighbor repulsion V added to the Hubbard model on 1D triangular lattice and a railway trestle (t-t') model will affect the electron-correlation dominated…

Condensed Matter · Physics 2009-10-31 Ryotaro Arita , Yukihiro Shimoi , Kazuhiko Kuroki , Hideo Aoki

Ferromagnetism in the t-t' Hubbard model is investigated on a square lattice. Correlation effects in the form of self-energy and vertex corrections are systematically incorporated within a spin-rotationally-symmetric scheme which explicitly…

Strongly Correlated Electrons · Physics 2009-11-13 Sudhakar Pandey , Avinash Singh

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

The magnetic susceptibility of the two-dimensional repulsive Hubbard model with nearest-neighbor hopping is investigated using the diagram technique developed for the case of strong correlations. In this technique a power series in the…

Strongly Correlated Electrons · Physics 2009-11-13 Alexei Sherman , Michael Schreiber

Using a spin-rotation invariant six-slave boson representation, we study the square lattice Hubbard model with nearest-neighbor hopping $t$ and next-nearest neighbor hopping $t'$. We discuss the influence of $t'$ on the charge and magnetic…

Strongly Correlated Electrons · Physics 2009-10-31 Raymond Frésard , Walter Zimmermann

The ground-state properties of the Hubbard chain with on-site repulsion and anisotropic nearest-neighbor attraction are investigated by means of density matrix renormalization group calculations. The non-local attraction acts between…

Quantum Gases · Physics 2020-11-11 Manpreet Singh , Sebastiano Pilati , Giuliano Orso

We present a version of the Hubbard model with a gapless nearly-flat lowest band which exhibits ferromagnetism in two or more dimensions. The model is defined on a lattice obtained by placing a site on each edge of the hypercubic lattice,…

Strongly Correlated Electrons · Physics 2018-01-17 Akinori Tanaka

A new analytic treatment of the two-dimensional Hubbard model at finite temperature and chemical potential is presented. A next nearest neighbor hopping term of strength t' is included. This analysis is based upon a formulation of the…

Strongly Correlated Electrons · Physics 2015-05-19 Andre LeClair

We study the infinite-U Hubbard model on ladders of 2, 4 and 6 legs with nearest (t) and next-nearest (t') neighbor hoppings by means of the density-matrix renormalization group algorithm. In particular, we analyze the stability of the…

Strongly Correlated Electrons · Physics 2019-05-16 G. G. Blesio , M. G. Gonzalez , F. T. Lisandrini

Whether spin-independent Coulomb interaction can be the origin of a realistic ferromagnetism in an itinerant electron system has been an open problem for a long time. Here we study a class of Hubbard models on decorated lattices, which have…

Condensed Matter · Physics 2009-10-22 Andreas Mielke , Hal Tasaki

On the basis of a two-dimensional t-t' Hubbard model in ferromagnetic and paramagnetic states, the triplet superconducting mechanism is investigated by the third-order perturbation theory with respect to the on-site Coulomb interaction U.…

Strongly Correlated Electrons · Physics 2007-05-23 Hirono Kaneyasu , Kosaku Yamada

The dynamical density-matrix renormalization group technique is used to calculate spin and charge excitation spectra in the one-dimensional (1D) Hubbard model at quarter filling with nearest-neighbor $t$ and next-nearest-neighbor $t'$…

Strongly Correlated Electrons · Physics 2009-11-13 S. Nishimoto , T. Shirakawa , Y. Ohta

Using a newly developed quantum Monte Carlo technique, we provide strong evidence for the stability of a saturated ferromagnetic phase in the high-density regime of the two-dimensional infinite-U Hubbard model. By decreasing the electron…

Strongly Correlated Electrons · Physics 2011-02-28 Giuseppe Carleo , Saverio Moroni , Federico Becca , Stefano Baroni