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The classical, square lattice, uniaxially anisotropic Heisenberg antiferromagnet in a magnetic field parallel to the easy axis is studied using Monte Carlo techniques. The model displays a long-range ordered antiferromagnetic, an…

Statistical Mechanics · Physics 2007-05-23 M. Holtschneider , W. Selke , R. Leidl

Dangling edge spins of dimerized two-dimensional spin-1 Heisenberg antiferromagnets are shown to exhibit nonordinary quantum critical correlations, akin to the scaling behavior observed in recently explored spin-1/2 systems. Based on…

Strongly Correlated Electrons · Physics 2019-09-05 Lukas Weber , Stefan Wessel

Using numerical techniques we study the zero temperature properties of a substitutional magnetic impurity in a one-dimensional correlated system described by the Hubbard model with repulsive interaction $U$. We find that, while the static…

Condensed Matter · Physics 2009-10-28 K. A. Hallberg , C. A. Balseiro

The spin-1/2 Heisenberg antiferromagnet on the diamond-decorated square lattice in the presence of a magnetic field displays various quantum phases including the Lieb-Mattis ferrimagnetic, dimer-tetramer, monomer-dimer, and spin-canted…

Strongly Correlated Electrons · Physics 2025-01-09 Katarina Karlova , Andreas Honecker , Nils Caci , Stefan Wessel , Jozef Strecka , Taras Verkholyak

The S=2 Heisenberg antiferromagnet on the orthogonal dimer lattice is studied. The edges of the exact dimer and Neel-ordered phases in the ground state of the system are examined by the numerical diagonalization method. Our present results…

Materials Science · Physics 2026-02-23 Hiroki Nakano , Toru Sakai , Yuko Hosokoshi

We explore the magnetic properties of a two-dimensional Hubbard model on an inhomogeneous square lattice, which provides a platform for tuning the bandwidth of the flat band. In its limit, this inhomogeneous square lattice turns into a Lieb…

Strongly Correlated Electrons · Physics 2023-06-16 Xiao Zhang , Runyu Ma , Zenghui Fan , Zixuan Jia , Lufeng Zhang , Tianxing Ma

We study a Heisenberg S=1/2 ring-exchange antiferromagnet which exhibits a quantum phase transition from a spontaneously dimerized (valence bond solid) phase to a magnetically ordered (Neel) phase. We argue that the quantum transition is of…

Strongly Correlated Electrons · Physics 2007-05-23 Valeri N. Kotov , D. X. Yao , A. H. Castro Neto , D. K. Campbell

In Phys. Rev. Lett. 84, 4204 (2000) (cond-mat/9905379), Kato et al. presented quantum Monte Carlo results indicating that the critical concentration of random non-magnetic sites in the two-dimensional antiferromagnetic Heisenberg model…

Strongly Correlated Electrons · Physics 2009-10-31 Anders W. Sandvik

The magnetic susceptibility of the one-dimensional Hubbard model with open boundary conditions at arbitrary filling is obtained from field theory at low temperatures and small magnetic fields, including leading and next-leading orders.…

Strongly Correlated Electrons · Physics 2007-05-23 M. Bortz , J. Sirker

We perform projective quantum Monte Carlo simulations of zigzag graphene nanoribbons within a realistic model with long-range Coulomb interactions. Increasing the relative strength of nonlocal interactions with respect to the on-site…

Strongly Correlated Electrons · Physics 2017-09-29 Marcin Raczkowski , Fakher F. Assaad

We study the 3-state hexagonal-lattice Potts antiferromagnet by a Monte Carlo simulation using the Wang-Swendsen-Kotecky cluster algorithm. We study the staggered susceptibility and the correlation length, and we confirm that this model is…

Statistical Mechanics · Physics 2009-10-31 J. Salas

In this paper we present an extensive study of the thermodynamic properties of the two-dimensional quantum Heisenberg antiferromagnet on the square lattice; the problem is tackled by the pure-quantum self-consistent harmonic approximation,…

Statistical Mechanics · Physics 2009-10-30 Alessandro Cuccoli , Valerio Tognetti , Ruggero Vaia , Paola Verrucchi

We study the distribution of local magnetic susceptibilities in the two-dimensional antiferromagnetic S=1/2 Heisenberg model on various random clusters, in order to determine whether effects of edge disorder could be detected in NMR…

Strongly Correlated Electrons · Physics 2010-10-13 Wanzhou Zhang , Wenan Guo , Kaj H Hoglund , Ling Wang , Anders W. Sandvik

We perform molecular dynamics and Monte Carlo simulations of two-dimensional melting with dipole-dipole interactions. Both static and dynamic behaviors are examined. In the isotropic liquid phase, the bond orientational correlation length 6…

Soft Condensed Matter · Physics 2008-06-24 Shizeng Lin , Bo Zheng , Steffen Trimper

We report on a valence bond projector Monte Carlo simulation of the cubic lattice quantum Heisenberg model with additional higher-order exchange interactions in each unit cell. The model supports two different valence bond solid ground…

Strongly Correlated Electrons · Physics 2007-07-29 K. S. D. Beach , Anders W. Sandvik

We study the low-energy behavior of the vertex function of a single Anderson impurity away from half-filling for finite magnetic fields, using the Ward identities with careful consideration of the anti-symmetry and analytic properties. The…

Strongly Correlated Electrons · Physics 2020-07-23 Akira Oguri , A. C. Hewson

We study the behavior of the antiferromagnetic RP$^2$ model in $d=3$. The vacuum structure is analyzed in the critical and low temperature regions, paying special attention to the spontaneous symmetry breaking pattern. Near the critical…

High Energy Physics - Lattice · Physics 2011-02-21 H. G. Ballesteros , L. A. Fernandez , V. Martin-Mayor , A. Munoz Sudupe

Magnetic and charge susceptibilities in the Kondo lattice are derived by the continuous-time quantum Monte Carlo (CT-QMC) method combined with the dynamical mean-field theory. For a weak exchange coupling J and near half filling of the…

Strongly Correlated Electrons · Physics 2009-03-18 Junya Otsuki , Hiroaki Kusunose , Yoshio Kuramoto

The two-dimensional Su-Schrieffer-Heeger model of electrons coupled to quantum phonons is investigated using Langevin dynamics within the framework of auxiliary-field quantum Monte Carlo. Based on an explicit determination of the density of…

Strongly Correlated Electrons · Physics 2022-04-12 Anika Götz , Stefan Beyl , Martin Hohenadler , Fakher F. Assaad

At zero temperature the sublattice magnetization of the quantum spin-1/2 Heisenberg antiferromagnet on a body-centered cubic lattice with competing first and second neighbor exchange (J1 and J2) is investigated using the non-linear spin…

Strongly Correlated Electrons · Physics 2015-05-13 Kingshuk Majumdar , Trinanjan Datta