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The $J_1$--$J_2$ Heisenberg model is a "canonical" model in the field of quantum magnetism in order to study the interplay between frustration and quantum fluctuations as well as quantum phase transitions driven by frustration. Here we…

Strongly Correlated Electrons · Physics 2016-06-15 D. J. J. Farnell , O. Götze , J. Richter

The spin-S Heisenberg antiferromagnet on the two-dimensional lattice is investigated for S=1/2 and S=1. We consider interaction at isolated dimers ($J_{\rm d}$) and interaction bonds that form the bounce lattice ($J_{\rm b}$). For $J_{\rm…

Materials Science · Physics 2026-04-28 Hiroki Nakano , Toru Sakai

Quantum antiferromagnets have proven to be some of the cleanest realizations available for theoretical, numerical, and experimental studies of quantum fluctuation effects. At finite temperatures, however, the additional effects of thermal…

Strongly Correlated Electrons · Physics 2016-04-28 A. Honecker , S. Wessel , R. Kerkdyk , T. Pruschke , F. Mila , B. Normand

We present a mean field solution of the antiferromagnetic Heisenberg chain with nearest (J_1) and next to nearest neighbor (J_2) interactions. This solution provides a way to estimate the effects of frustration. We calculate the…

Strongly Correlated Electrons · Physics 2009-10-28 V. N. Muthukumar , Claudius Gros , Roser Valenti , M. Weiden , C. Geibel , F. Steglich , P. Lemmens , M. Fischer , G. Güntherodt

Motivated by experimental progress in pressure and strain tuning of quantum materials, we examine the thermodynamic response of frustrated magnets to uniaxial strain. Specifically, we study Ising and Heisenberg models on spatially…

Strongly Correlated Electrons · Physics 2026-05-18 Eric C. Andrade , Pedro M. Cônsoli , Matthias Vojta

Based on the mapping between $s=1/2$ spin operators and hard-core bosons, we extend the cluster perturbation theory to spin systems and study the whole excitation spectrum of the antiferromagnetic $J_{1}$-$J_{2}$ Heisenberg model on the…

Strongly Correlated Electrons · Physics 2018-10-17 Shun-Li Yu , Wei Wang , Zhao-Yang Dong , Zi-Jian Yao , Jian-Xin Li

We employ a variational Monte Carlo approach to efficiently obtain the dynamical structure factor for the spin-1/2 $J_1-J_2$ Heisenberg model on the square lattice. Upon increasing the frustrating ratio $J_2/J_1$, the ground state undergoes…

Strongly Correlated Electrons · Physics 2018-09-26 Francesco Ferrari , Federico Becca

The phase diagram of an antiferromagnetic ladder with frustrating next-nearest neighbor couplings along the legs is determined using numerical methods (exact diagonalization and density-matrix renormalization group) supplemented by…

Strongly Correlated Electrons · Physics 2011-10-11 Arthur Lavarélo , Guillaume Roux , Nicolas Laflorencie

Magnetic properties of spin $\frac 12$ $J_1-J_2$ Heisenberg antiferromagnet on body centered cubic lattice are investigated. By using two-time temperature Green's functions, sublattice magnetization and critical temperature depending on the…

Strongly Correlated Electrons · Physics 2013-12-24 Milan R. Pantic , Darko V. Kapor , Slobodan M. Radosevic , Petar M. Mali

We study the spin-1/2 Ising-XXZ model on a decorated honeycomb lattice composed of five spins per unit cell, one Ising spin, and four Heisenberg spins. This model involving the Heisenberg exchange interaction is one of the few models that…

Statistical Mechanics · Physics 2022-07-20 Onofre Rojas

We study the T = 0 magnetization of frustrated two-leg spin ladders with arbitrary value of the spin S. In the strong rung limit, we use degenerate perturbation theory to prove that frustration leads to magnetization plateaux at fractional…

Strongly Correlated Electrons · Physics 2010-02-01 F. Michaud , T. Coletta , S. R. Manmana , J. -D. Picon , F. Mila

We study the two-magnon non-resonant Raman scattering in the (pi,pi) and (pi,0) ordered antiferromagnetic phases of a J1x-J1y-J2-Jc Heisenberg model on the tetragonal lattice within the framework of the spin-wave theory. We discuss the…

Strongly Correlated Electrons · Physics 2017-03-29 Changle Liu , Rong Yu

The antiferromagnetic Heisenberg two-leg ladder in the presence of frustration and an external magnetic field is a system that is characterized by two sorts of quantum criticalities, not only one. One criticality is the consequence of…

Strongly Correlated Electrons · Physics 2009-11-13 Brandon W. Ramakko , Mohamed Azzouz

We compute, within the Schwinger-boson scheme, the Gaussian-fluctuation corrections to the order-parameter stiffness of two frustrated quantum spin systems: the triangular-lattice Heisenberg antiferromagnet and the J1-J2 model on the square…

Statistical Mechanics · Physics 2009-10-30 L. O. Manuel , A. E. Trumper , H. A. Ceccatto

In this paper, we performed the comprehensive studies of frustration properties in the Ising model on a decorated square lattice in the framework of an exact analytical approach based on the Kramers--Wannier transfer matrix method. The…

Statistical Mechanics · Physics 2025-04-25 F. A. Kassan-Ogly , A. V. Zarubin

We consider the antiferromagnetic spin-1/2 $XXZ$ Heisenberg model on a frustrated diamond-chain lattice in a $z$- or $x$-aligned external magnetic field. We use the strong-coupling approach to elaborate an effective description in the…

Strongly Correlated Electrons · Physics 2015-02-17 Johannes Richter , Olesia Krupnitska , Taras Krokhmalskii , Oleg Derzhko

We investigate the quantum spin-1/2 zigzag chain with frustrated $J_1$-$J_2$ Heisenberg interactions, incorporating additional off-diagonal exchange interactions known as the $\Gamma$ term, both with and without an applied magnetic field.…

Strongly Correlated Electrons · Physics 2024-08-02 Hidehiro Saito , Chisa Hotta

We perform a comprehensive analysis of the bimagnon resonant inelastic x-ray scattering (RIXS) intensity spectra of the spatially frustrated Jx-Jy-J2 Heisenberg model on a square lattice in both the antiferromagnetic and the collinear…

Strongly Correlated Electrons · Physics 2014-04-15 Cheng Luo , Trinanjan Datta , Dao-Xin Yao

It is generally difficult to experimentally distinguish magnetic multipolar orders in spin systems. Recently, it was proposed that the temperature dependence of the nuclear magnetic resonance relaxation rate 1/T_1 can involve an indirect,…

Strongly Correlated Electrons · Physics 2011-02-14 Masahiro Sato , Toshiya Hikihara , Tsutomu Momoi

We study the magnetic properties of the two-dimensional anisotropic antiferromagnetic spin-1/2 Heisenberg model with Dzyaloshinskii-Moriya interaction and in-plane frustration included. The method of spin Green functions within the…

Strongly Correlated Electrons · Physics 2021-04-21 Milica Rutonjski , Milan Pantic , Milica Pavkov-Hrvojevic