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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

Room temperature ferromagnetic materials composed only by light elements like carbon, hydrogen and/or nitrogen, so called carbon magnet, are very attractive for creating new material categories both in science and industry. Recently several…

Mesoscale and Nanoscale Physics · Physics 2011-01-24 Norio Ota , Narjes Gorjizadeh , Yoshiyuki Kawazoe

Long-range interactions can qualitatively reorganize correlated-electron ground states. In the square-lattice Hubbard model, on-site repulsion produces antiferromagnetic spin and charge stripes upon doping. We show that including a…

Strongly Correlated Electrons · Physics 2026-03-16 Chunhan Feng , Miguel A. Morales , Shiwei Zhang

The small-cluster exact-diagonalization calculations and the projector quantum Monte Carlo method are used to examine the competing effects of geometrical frustration and interaction on ferromagnetism in the Hubbard model on the…

Strongly Correlated Electrons · Physics 2018-05-23 Pavol Farkasovsky

A large class of correlated quantum materials feature strong Hund's coupling. Yet cold-atom quantum simulators have so far focused primarily on single-orbital Fermi-Hubbard systems near a Mott insulator. Here we show that repulsively…

Quantum Gases · Physics 2026-01-29 Haoran Sun , Erhai Zhao , Youjin Deng , W. Vincent Liu

We perform unrestricted Hartree-Fock calculations on the 2D Hubbard model on a honeycomb and bilayer honeycomb lattice at both zero and finite temperatures. Finite size real space calculations are supplemented with RPA calculations in the…

Strongly Correlated Electrons · Physics 2026-02-23 Robin Scholle , Laura Classen

We report a thorough study of the reducibility of edge correlation effects in graphene to much-simplified effective models for the edge states. The latter have been used before in specially tailored geometries. By a systematic investigation…

Mesoscale and Nanoscale Physics · Physics 2015-09-23 Cornelie Koop , Manuel J. Schmidt

Groundstate magnetism of the one-band Hubbard model on the frustrated square lattice where both nearest-neighbour $t_1$ and next-nearest-neighbour $t_2$ hoppings are considered at half-filling are revisited within mean field approximation.…

Strongly Correlated Electrons · Physics 2021-07-06 Ze Ruan , Xiu-Cai Jiang , Ze-Yi Song , Yu-Zhong Zhang

A novel magnetic ground state is reported for the Hubbard Hamiltonian in strained graphene. When the chemical potential lies close to the Dirac point, the ground state exhibits locally both the N\'{e}el and ferromagnetic orders, even for…

Mesoscale and Nanoscale Physics · Physics 2014-06-11 Bitan Roy , Fakher F. Assaad , Igor F. Herbut

The rules that govern spin exchange interaction in pristine graphene nanostructures are constrained by the bipartite character of the lattice, so that the sign of the exchange is determined by whether magnetic moments are on the same…

Mesoscale and Nanoscale Physics · Physics 2016-09-16 R. Ortiz , J. L. Lado , M. Melle-Franco , J. Fernandez-Rossier

We examine the possible existence of Dirac semimetal with magnetic order in a two-dimensional system with a nonsymmorphic symmetry by using the Hartree-Fock mean-field theory within the Hubbard model. We locate the region in the…

Strongly Correlated Electrons · Physics 2024-01-09 Garima Goyal , Dheeraj Kumar Singh

Graphene-based nanostructures exhibit a vast range of exciting electronic properties that are absent in extended graphene. For example, quantum confinement in carbon nanotubes and armchair graphene nanoribbons (AGNRs) leads to the opening…

We study the conductance of mesoscopic graphene rings in the presence of a perpendicular magnetic field by means of numerical calculations based on a tight-binding model. First, we consider the magnetoconductance of such rings and observe…

Mesoscale and Nanoscale Physics · Physics 2010-02-04 J. Wurm , M. Wimmer , H. U. Baranger , K. Richter

The effects of Hubbard-type on-site interactions on the BHZ model is studied in this paper for model parameters appropriate for the HgTe/CdTe quantum well. Within a simple mean field theory we search for plausible magnetic instabilities in…

Strongly Correlated Electrons · Physics 2017-03-22 Zewei Chen , Tai Kai Ng

We studied ferromagnetism in the one-dimensional Hubbard model with doubly degenerate atomic orbitals by means of the density-matrix renormalization-group method and obtained the ground-state phase diagrams. It was found that ferromagnetism…

Strongly Correlated Electrons · Physics 2009-11-07 Harumi Sakamoto , Tsutomu Momoi , Kenn Kubo

It is well-known that ferromagnetism can be realized along the zigzag graphene nanoribbon edges, but the armchair graphene nanoribbon edges (AGNEs) are nonmagnetic. Here, we achieve Heisenberg antiferromagnetic spin chains through edge…

Mesoscale and Nanoscale Physics · Physics 2025-07-11 Ning Wu , Bang-Gui Liu

We discuss the effect of long-range interactions within the self-consistent Hartree-Fock (HF) approximation in comparison to short-range atomic Hubbard interactions on the band structure of twisted bilayer graphene (TBG) at charge…

We compare predictions of the mean-field theory of superconductivity for nearly antiferromagnetic and nearly ferromagnetic metals for cubic and tetragonal lattices. The calculations are based on the parametrization of an effective…

Strongly Correlated Electrons · Physics 2009-11-07 P. Monthoux , G. G. Lonzarich

In antiferromagnetically coupled multilayers with perpendicular anisotropy unusual multidomain textures can be stabilized due to a close competition between long-range demagnetization fields and short-range interlayer exchange coupling. In…

Mesoscale and Nanoscale Physics · Physics 2011-09-30 N. S. Kiselev , U. K. Roessler , A. N. Bogdanov , O. Hellwig

A variational ground state of the repulsive Hubbard model on a square lattice is investigated numerically for an intermediate coupling strength (U = 8t) and for moderate sizes (from 6 x 6 to 10 x 10). Our ansatz is clearly superior to other…

Strongly Correlated Electrons · Physics 2009-11-13 D. Eichenberger , D. Baeriswyl