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We use Monte Carlo (MC) methods to simulate a two-dimensional (2D) bond-diluted Ising model on the square lattice which has frustration between the nearest-neighbor interaction J1 and the next-nearest-neighbor interaction J2. In this paper,…

Statistical Mechanics · Physics 2018-06-27 Yining Xu , Dao-Xin Yao

A novel general method of describing the spin-lattice interactions in magnetic solids was proposed in terms of first principles calculations. The spin exchange and Dzyaloshinskii-Moriya interactions as well as their derivatives with respect…

Strongly Correlated Electrons · Physics 2011-12-30 H. J. Xiang , E. J. Kan , Su-Huai Wei , M. -H. Whangbo , X. G. Gong

We study spinless bosons in a decorated square lattice with a near-diagonal tilt. The resonant subspace of the tilted Mott insulator is described by an effective Hamiltonian of frustrated quantum Ising spins on a non-bipartite lattice. This…

Quantum Gases · Physics 2012-12-10 Susanne Pielawa , Erez Berg , Subir Sachdev

We describe why Ising spin chains with competing interactions in $\rm SrHo_2O_4$ segregate into ordered and disordered ensembles at low temperatures ($T$). Using elastic neutron scattering, magnetization, and specific heat measurements, the…

Strongly Correlated Electrons · Physics 2015-02-27 J. -J. Wen , W. Tian , V. O. Garlea , S. M. Koohpayeh , T. M. McQueen , H. -F. Li , J. -Q. Yan , J. A. Rodriguez-Rivera , D. Vaknin , C. L. Broholm

A mixed Heisenberg spin chain with frustrated side chains is investigated by numerical and perturbational calculations. A frustration-induced quantum partially polarized ferrimagnetic phase and a nonmagnetic spin quadrupolar phase are found…

Strongly Correlated Electrons · Physics 2008-08-12 Kazuo Hida , Ken'ichi Takano

We investigate low-energy properties of the alternating spin chain model composed of spin $s_1$ and $s_2$ with a singlet ground state. After examining the spin-wave spectrum in detail, we map low-energy spin excitations to the O(3)…

Statistical Mechanics · Physics 2009-10-30 T. Fukui , N. Kawakami

Specific heat measurements were carried out on the closely related spin-chain oxides Ca3Co2O6 and Ca3CoRhO6. Both compounds consist of Ising magnetic chains that are arranged on a triangular lattice. The spin coupling along and between the…

Strongly Correlated Electrons · Physics 2009-11-10 V. Hardy , M. R. Lees , A. Maignan , S. Hebert , D. Flahaut , C. Martin , D. McK. Paul

We study the entanglement content of a class of mesoscopic tunable magnetic systems. The systems are closed finite spin-1/2 chains with ferromagnetic nearest-neighbor interactions frustrated by antiferromagnetic next-nearest-neighbor…

Statistical Mechanics · Physics 2009-06-10 Masudul Haque , V. Ravi Chandra , Jayendra N. Bandyopadhyay

We investigate the behavior of the frustrated $J_1$-$J_2$ Ising model on a square lattice under the influence of random dilution and spatial anisotropies. Spinless impurities generate a random-field type disorder for the spin-density wave…

Disordered Systems and Neural Networks · Physics 2022-01-11 Xuecheng Ye , Rajesh Narayanan , Thomas Vojta

The spin dynamics of the layered square-lattice vanadate Pb2VO(PO4)2 is investigated by electron spin resonance at various magnetic fields and at temperatures above magnetic ordering. The linewidth divergence towards low temperatures seems…

Strongly Correlated Electrons · Physics 2013-05-29 T. Förster , F. A. Garcia , T. Gruner , E. E. Kaul , B. Schmidt , C. Geibel , J. Sichelschmidt

The Ising chain realizes the fundamental paradigm of spin fractionalization, where locally flipping a spin creates two domain walls (spinons) that can separate apart at no energy cost. In a quasi-one-dimensional system, the mean-field…

Strongly Correlated Electrons · Physics 2023-11-21 Leonie Woodland , David Macdougal , Ivelisse M. Cabrera , Jordan D. Thompson , D. Prabhakaran , Robert I. Bewley , Radu Coldea

Frustration in spin system can give rise to unique ordered states and as a consequence several physical phenomena are expected such as multiferroics, high temperature superconductors and anomalous hall effect. Here we report the "new…

Strongly Correlated Electrons · Physics 2018-08-01 GiBaik Sim , SungBin Lee

Twisted graphene bilayers develop highly localised states around AA-stacked regions for small twist angles. We show that interaction effects may induce either an antiferromagnetic (AF) and a ferromagnetic (F) polarization of said regions,…

Mesoscale and Nanoscale Physics · Physics 2017-09-13 Luis A. Gonzalez-Arraga , J. L. Lado , Francisco Guinea , Pablo San-Jose

We construct and analyze a two-dimensional frustrated quantum spin model with plaquette order, in which the low-energy dynamics is controlled by spin singlets. At a critical value of frustration the singlet spectrum becomes gapless,…

Strongly Correlated Electrons · Physics 2016-08-31 Valeri N. Kotov , Michael E. Zhitomirsky , Oleg P. Sushkov

Solving intractable mathematical problems in simulators composed of atoms, ions, photons or electrons has recently emerged as a subject of intense interest. Here we extend this concept to phonons that are localised in spectrally pure…

Mesoscale and Nanoscale Physics · Physics 2016-06-29 I. Mahboob , H. Yamaguchi

The ferrimagnetic phase of the sawtooth chain with mixed ferromagnetic nearest-neighbour interactions $J$ and antiferromagnetic next-nearest-neighbour interactions $J'$ (within the isotropic Heisenberg model) was previously characterized as…

Strongly Correlated Electrons · Physics 2023-04-04 Roman Rausch , Matthias Peschke , Cassian Plorin , Jürgen Schnack , Christoph Karrasch

The spin-$1/2$ model system with antiferromagnetic (AF) couplings on a $J_1$-$J_2$ checkerboard lattice, known as the planar pyrochlore model, is strongly frustrated and associated with a two-to-one dimensional crossover. Using the…

Strongly Correlated Electrons · Physics 2024-09-25 Haiyuan Zou , Fan Yang , Wei Ku

We outline the recent results on the ground state for a class of one- and two-dimensional frustrated quantum spin models with competing ferro(F)- and antiferromagnetic (AF) interactions. Frustrated spin systems are known to have many…

Strongly Correlated Electrons · Physics 2007-05-23 A. A. Ovchinnikov , V. Ya. Krivnov , D. V. Dmitriev

Continuum of spin excitations observed in inelastic neutron scattering experiments are often considered as a strong evidence of quantum spin liquid formation. When quantum spin liquid is indeed the ground state of a disorder-free magnetic…

Strongly Correlated Electrons · Physics 2025-04-15 Jieming Sheng , Le Wang , Wenrui Jiang , Han Ge , Nan Zhao , Tiantian Li , Maiko Kofu , Dehong Yu , Wei Zhu , Jia-Wei Mei , Zhentao Wang , Liusuo Wu

We study the classical ${SU(N)\otimes U(1)/SU(N-1)\otimes U(1)}$ Non Linear Sigma model which is the continuous low energy effective field theory for $N$ component frustrated spin systems. The $\beta$ functions for the two coupling…

Condensed Matter · Physics 2009-10-28 P. Azaria , P. Lecheminant , D. mouhanna