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We investigate the spin $S=1/2$ Heisenberg model on the body centered cubic lattice in the presence of ferromagnetic and antiferromagnetic nearest-neighbor $J_{1}$, second-neighbor $J_{2}$, and third-neighbor $J_{3}$ exchange interactions.…

We investigate the ground state properties of the two dimensional half-filled one band Hubbard model in the strong (large-U) to intermediate coupling limit ({\it i.e.} away from the strict Heisenberg limit) using an effective spin-only…

Strongly Correlated Electrons · Physics 2007-05-23 J. -Y. P. Delannoy , M. J. P. Gingras , P. C. W. Holdsworth , A. -M. S. Tremblay

We numerically study the magnetization and the dispersion relation of a frustrated quantum spin system. Our method, which is named the stochastic state selection method, is a kind of Monte Carlo method to give eigenstates of the system…

Statistical Mechanics · Physics 2010-08-11 Tomo Munehisa , Yasuko Munehisa

Making use of infinite projected entangled pair states, we investigate the ground state phase diagram of the nearest-neighbor spin-1 bilinear-biquadratic Heisenberg model on the triangular lattice. In agreement with previous studies, we…

Strongly Correlated Electrons · Physics 2018-06-28 Ido Niesen , Philippe Corboz

In their 1978 paper, Dyson, Lieb, and Simon (DLS) proved the existence of Ne'el order at positive temperature for the spin-S Heisenberg antiferromagnet on the d-dimensional hypercubic lattice when either S >= 1 and d >= 3 or S=1/2 and d is…

Mathematical Physics · Physics 2007-05-23 Bruno Nachtergaele

The ground state properties of random-exchange spin-1/2 Heisenberg antiferromagnets on the square lattice are investigated using a combination of quantum Monte Carlo simulations, exact numerical diagonalizations, and spin wave calculations.…

Strongly Correlated Electrons · Physics 2007-05-23 Nicolas Laflorencie , Stefan Wessel , Andreas Laeuchli , Heiko Rieger

We use density matrix renormalization group (DMRG) algorithm to study the phase diagram of the spin-1/2 Heisenberg model on honeycomb lattice with first (J1) and second (J2) neighbor antiferromagnetic interactions, where a Z2 spin liquid…

Strongly Correlated Electrons · Physics 2013-11-13 Shou-Shu Gong , D. N. Sheng , Olexei I. Motrunich , Matthew P. A. Fisher

We present new numerical tools to analyze symmetry-broken phases in the context of $SU(2)$-symmetric translation-invariant matrix product states (MPS) and density-matrix renormalization-group (DMRG) methods for infinite cylinders, and…

Strongly Correlated Electrons · Physics 2019-04-04 S. N. Saadatmand , I. P. McCulloch

The magnetic properties of the layered oxypnictide LaMnAsO have been revisited using neutron scattering and magnetization measurements. The present measurements identify the N\'{e}el temperature $T_N$ = 360(1) K. Below $T_N$ the critical…

Strongly Correlated Electrons · Physics 2016-02-10 Michael A. McGuire , V. Ovidiu Garlea

We study the thermodynamic properties of the 3D Hubbard model for temperatures down to the Neel temperature using cluster dynamical mean-field theory. In particular we calculate the energy, entropy, density, double occupancy and…

Quantum Gases · Physics 2011-03-14 S. Fuchs , E. Gull , L. Pollet , E. Burovski , E. Kozik , T. Pruschke , M. Troyer

We revisit the issue about the magnetization of the $120^\circ$ order in the spin-1/2 triangular lattice Heisenberg model (TLHM) with Density Matrix Renormalization Group (DMRG). The accurate determination of the magnetization of this model…

Strongly Correlated Electrons · Physics 2024-03-15 Jiale Huang , Xiangjian Qian , Mingpu Qin

For $d\geq 3$, we study the Ising model on $\mathbb Z^d$ with random field given by $\{\epsilon h_v: v\in \mathbb Z^d\}$ where $h_v$'s are independent normal variables with mean 0 and variance 1. We show that for any $T < T_c$ (here $T_c$…

Probability · Mathematics 2022-09-29 Jian Ding , Yu Liu , Aoteng Xia

We analyse the low temperature properties of a system of classical Heisenberg spins on a hexagonal lattice with Kitaev couplings. For a lattice of 2N sites with periodic boundary conditions, we show that the ground states form an (N+1)…

Statistical Mechanics · Physics 2010-09-14 Samarth Chandra , Kabir Ramola , Deepak Dhar

The purpose of this paper is to investigate the ground-state properties of two-dimensional Heisenberg models on a square lattice with a given dimerization. Our aim is threefold: First, we want to investigate the dimensional transition from…

Strongly Correlated Electrons · Physics 2007-05-23 J. Sirker , A. Klümper , K. Hamacher

A mean-field theory of the spin Peierls systems based on the two dimensional dimerized Heisenberg model is proposed by introducing an alternating bond order parameter. Improvements with respect to previous mean-field results are found in…

Condensed Matter · Physics 2009-10-28 Mohamed Azzouz , Claude bourbonnais

The phase diagram of the multiple-spin exchange model on the triangular lattice is studied using exact diagonalizations. The two-spin (J_2) and four-spin (J_4) exchanges have been taken into account for 12, 16, 19, 21, 24, and 27 site…

Strongly Correlated Electrons · Physics 2009-10-31 Weyls LiMing , Gregoire Misguich , Philippe Sindzingre , Claire Lhuillier

We analyze the classical version of a plaquette orbital model that was recently introduced and studied numerically by S. Wenzel and W. Janke. In this model, edges of the square lattice are partitioned into $x$ and $z$-types that alternate…

Mathematical Physics · Physics 2012-04-03 Marek Biskup , Roman Kotecky

Employing numerical linked-cluster expansions (NLCEs) along with exact diagonalizations of finite clusters with periodic boundary condition, we study the energy, specific heat, entropy, and various susceptibilities of the antiferromagnetic…

Strongly Correlated Electrons · Physics 2011-04-25 Ehsan Khatami , Marcos Rigol

Dimerized antiferromagnetic spin-1/2 ladders are known to exhibit a quantum critical phase transition in the ground state, the existence or absence of which is dependent on the dimerization pattern of the ladder. The gapped phases cannot be…

Strongly Correlated Electrons · Physics 2013-05-29 S. J. Gibson , R. Meyer , G. Y. Chitov

We study the S=1/2 quantum antiferromagnetic XY model on finite triangular lattices with N sites in both longitudinal and transverse magnetic fields. We calculate physical quantities in the ground state using a diagonalization for spins $N…

Condensed Matter · Physics 2016-08-31 Nobuo Suzuki , Fumitaka Matsubara