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In this work we revisit itinerant ferromagnetism in 2D and 3D electron gases with arbitrary spin-orbit splitting and strong electron-electron interaction. We identify the resonant scattering processes close to the Fermi surface that are…

Strongly Correlated Electrons · Physics 2023-01-03 Dmitry Miserev , Daniel Loss , Jelena Klinovaja

We present a general formalism for deriving the thermodynamics of ferromagnets consisting of "atoms" carrying an arbitrary irreducible representation of $SU(N)$ and coupled through long-range two-body quadratic interactions. Using this…

High Energy Physics - Theory · Physics 2025-07-08 Alexios P. Polychronakos , Konstantinos Sfetsos

We investigate the SU($N$) Hubbard model for the multi-component fermionic optical lattice system, combining dynamical mean-field theory with the continuous-time quantum Monte Carlo method. We obtain the finite temperature phase diagrams…

Quantum Gases · Physics 2016-07-20 Hiromasa Yanatori , Akihisa Koga

We study two-dimensional Heisenberg antiferromagnets with additional multi-spin interactions which can drive the system into a valence-bond solid state. For standard SU(2) spins, we consider both four- and six-spin interactions. We find…

Strongly Correlated Electrons · Physics 2010-10-13 J. Lou , A. W. Sandvik , N. Kawashima

Whether a spin-1/2 Fermi gas will become ferromagnetic as the strength of repulsive interaction increases is a long-standing controversial issue. Recently this problem is studied experimentally by Jo et al, Science, 325, 1521 (2009) in…

Quantum Gases · Physics 2009-12-14 Hui Zhai

The quasi-one-dimensional S=1 Heisenberg antiferromagnet with a biquadratic term is investigated at zero temperature by quantum Monte Carlo simulation. As the magnitude of the inter-chain coupling is increased, the system undergoes a phase…

Statistical Mechanics · Physics 2015-06-25 Kenji Harada , Naoki Kawashima , Matthias Troyer

We consider a Kondo impurity coupled to a fermionic host with a power-law density of states near the Fermi level, rho(epsilon) ~ |epsilon|^r, with exponent r<0. Using both perturbative renormalization group (poor man's scaling) and…

Strongly Correlated Electrons · Physics 2015-06-24 Matthias Vojta , Ralf Bulla

In an earlier work we developed a holographic theory for the phase transition between bosonic symmetry-protected topological (SPT) states. This paper is a continuation of it. Here we present the holographic theory for fermionic SPT phase…

Strongly Correlated Electrons · Physics 2019-12-12 Lokman Tsui , Yen-Ta Huang , Dung-Hai Lee

We explore the ferromagnetic quantum critical point in a three-dimensional semimetallic system with upward- and downward-dispersing bands touching at the Fermi level. Evaluating the static spin susceptibility to leading order in the…

Strongly Correlated Electrons · Physics 2015-07-29 James M. Murray , Oskar Vafek , Leon Balents

We study the quantum phase transition occurring in an infinite homogeneous system of spin 1/2 fermions in a non-relativistic context. As an example we consider neutrons interacting through a simple spin-spin Heisenberg force. The two…

Nuclear Theory · Physics 2009-11-10 A. Beraudo , A. De Pace , M. Martini , A. Molinari

It was discovered in La1-xSrxMnO3(x~1/8) that a field induced phase transition occurs from a ferromagnetic metal(FM) phase to a ferromagnetic insulator (FI) phase. The magnetization shows a sharp jump at the transition field accompanying…

Strongly Correlated Electrons · Physics 2016-08-31 H. Nojiri , K. Kaneko , M. Motokawa , K. Hirota , K. Takahashi , Y. Endoh

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

Developing a comprehensive magnetic theory for correlated itinerant magnets poses challenges due to the difficulty in reconciling both local moments and itinerant electrons. In this work, we investigate the microscopic process of magnetic…

Strongly Correlated Electrons · Physics 2024-11-26 Yuanji Xu , Yuechao Wang , Xintao Jin , Haifeng Liu , Yu Liu , Haifeng Song , Fuyang Tian

We consider a model Hamiltonian with two SU(4) fermions per site on a square lattice, showing a competition between bilinear and biquadratic interactions. This model has generated interest due to possible realizations in ultracold atom…

Strongly Correlated Electrons · Physics 2022-05-05 Pranay Patil , Fabien Alet , Sylvain Capponi , Matthieu Mambrini

The ferrimagnetic spin-1/2 chain composed of alternating Ising and Heisenberg spins in an arbitrarily oriented magnetic field is exactly solved using the spin-rotation transformation and the transfer-matrix method. It is shown that the…

Statistical Mechanics · Physics 2012-12-27 J. Strecka , M. Hagiwara , Y. Han , T. Kida , Z. Honda , M. Ikeda

Thermal properties of the ordered phase of the spin 1/2 isotropic Heisenberg Antiferromagnet on a d-dimensional hypercubical lattice are studied within the fermionic representation when the constraint of single occupancy condition is taken…

Condensed Matter · Physics 2007-05-23 S. Azakov , M. Dilaver , A. M. Oztas

A key problem in the field of quantum criticality is to understand the nature of quantum phase transitions in systems of interacting itinerant fermions, motivated by experiments on a variety of strongly correlated materials. Much attention…

Strongly Correlated Electrons · Physics 2021-06-30 Rufus Boyack , Hennadii Yerzhakov , Joseph Maciejko

The study of nonequilibrium steady-state (NESS) in the Ising model offers rich insights into the properties of complex systems far from equilibrium. This paper explores the nature of NESS phase transitions in two-dimensional (2D)…

Statistical Mechanics · Physics 2024-09-05 Dagne Wordofa Tola , Mulugeta Bekele

We make for the first time a large-scale Monte-Carlo simulation of a ferromagnetic Heisenberg model with dipolar interactions on a two dimensional square lattice with open boundaries using an efficient new technique. We find that a phase…

Condensed Matter · Physics 2007-05-23 Fumitaka Matsubara , Junya Sasaki

We study analytically the equilibrium properties of the spherical hierarchical model in the presence of random fields. The expression for the critical line separating a paramagnetic from a ferromagnetic phase is derived. The critical…

Disordered Systems and Neural Networks · Physics 2014-11-18 Fernando L. Metz , Jacopo Rocchi , Pierfrancesco Urbani