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Related papers: Simulating a two-dimensional frustrated spin syste…

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In the paper the phase diagram of $J_1-J_2$ frustrated antiferromagnet with spin $S=1$ and single-ion anisotropy is studied on the planar quadratic lattice in the cluster approximation. The Bogolyubov inequality is adopted for the Gibbs…

Statistical Mechanics · Physics 2018-08-28 T. Balcerzak , K. Szałowski , A. Bobák , M. Žukovič

The antiferromagnetic Heisenberg spin systems on the three-leg ladder are investigated. Periodic boundary condition is imposed in the rung direction. The system has an excitation gap for all antiferromagnetic inter-chain coupling…

Statistical Mechanics · Physics 2009-10-30 Kenro Kawano , Minoru Takahashi

The ground state of the $S=1/2$ $J_{1}-J_{1}$ Heisenberg model on the 2D square lattice with arbitrary signs of exchange constants is considered. States with different spin long-range order types (antiferromagnetic checkerboard, stripe,…

Strongly Correlated Electrons · Physics 2013-07-25 A. V. Miheyenkov , A. V. Shvartsberg , A. F. Barabanov

We use recently proposed four-spin bond-operator technique (BOT) to discuss spectral properties of frustrated spin-$\frac12$ $J_1$--$J_2$ Heisenberg antiferromagnet on square lattice at $J_2<0.4J_1$ (i.e., in the N\'eel ordered phase). This…

Strongly Correlated Electrons · Physics 2019-06-12 A. V. Syromyatnikov , A. Yu. Aktersky

An SU(2) slave boson formulation of bond-type spin nematic orders is developed in frustrated ferromagnets, where the spin nematic states are described as the resonating spin-triplet valence bond (RVB) states. The d-vectors of spin-triplet…

Strongly Correlated Electrons · Physics 2011-06-28 Ryuichi Shindou , Tsutomu Momoi

The topological classification of a series of frustration-induced spin-gap phases in the spin-1/2 ferromagnetic--antiferromagnetic alternating Heisenberg chain with next-nearest-neighbour interaction reported in J. Phys. Soc. Jpn. 82,…

Strongly Correlated Electrons · Physics 2016-01-11 Kazuo Hida

Recent studies have revealed that the randomness-induced quantum spin liquid (QSL)-like state is stabilized in certain frustrated quantum magnets in two and three dimensions. In order to clarify the nature of this gapless QSL-like state, we…

Strongly Correlated Electrons · Physics 2021-11-24 Kazuki Uematsu , Toshiya Hikihara , Hikaru Kawamura

The spin-$1/2$ $J_1$-$J_2$ Heisenberg model on the square lattice exhibits a debated intermediate phase between N\'eel antiferromagnetic and stripe ordered regimes, with competing theories proposing plaquette valence bond, nematic, and…

Strongly Correlated Electrons · Physics 2026-04-27 Brandon Yee , Wilson Collins , Maximilian Rutkowski

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

Using the coupled cluster method (CCM) we study the full (zero-temperature) ground-state (GS) phase diagram of a spin-half ($s=1/2$) $J_{1}$-$J_{2}$ Heisenberg model on a cross-striped square lattice. Each site of the square lattice has 4…

Strongly Correlated Electrons · Physics 2014-01-10 R. F. Bishop , P. H. Y. Li , C. E. Campbell

We study the effect of an externally imposed rotation or magnetic field on frustrated multiband superconductors/superfluids. The frustration originates with multiple superconducting bands crossing the Fermi surface in conjunction with…

Superconductivity · Physics 2014-10-21 Troels Arnfred Bojesen , Asle Sudbø

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 studied the ground state phase diagram of spin-1/2 J1-J2 XY model on the square lattice with first- J1 and second-neighbor J2 antiferromagnetic interactions using both iDMRG and DMRG approaches. We show that a plaquette valence bond…

Strongly Correlated Electrons · Physics 2023-06-14 Y. -H. Chan , Hong-Chen Jiang , Y. -C. Chen

We study the frustrated Heisenberg model on the bilayer honeycomb lattice. The ground-state energy and spin gap are calculated, using different bosonic representations at mean field level and numerical calculations, to explore different…

Strongly Correlated Electrons · Physics 2015-01-21 M. Arlego , C. A. Lamas , H. Zhang

We report the magnetic and calorimetric measurements in single crystal samples of the square lattice $J_{1}-J_{2}$ quantum antiferromagnet BaCdVO(PO$_4$)$_2$. An investigation of the scaling of magnetization reveals a "dimensionality…

Strongly Correlated Electrons · Physics 2019-01-14 K. Yu. Povarov , V. K. Bhartiya , Z. Yan , A. Zheludev

We study the one-dimensional spin-1/2 Heisenberg chain with competing ferromagnetic nearest-neighbor J_1 and antiferromagnetic next-nearest-neighbor J_2 exchange couplings in the presence of magnetic field. We use both numerical approaches…

Strongly Correlated Electrons · Physics 2008-10-07 Toshiya Hikihara , Lars Kecke , Tsutomu Momoi , Akira Furusaki

Motivated by the experimental realization of quantum spin models of polar molecule KRb in optical lattices, we analyze the spin 1/2 dipolar Heisenberg model with competing anisotropic, long-range exchange interactions. We show that, by…

Quantum Gases · Physics 2017-08-03 Haiyuan Zou , Erhai Zhao , W. Vincent Liu

We show that the electronic structures of the title compounds predicted by density functional theory (DFT) are well described by tight binding models. We determine the frustration ratio, J'/J, of the Heisenberg model on the anisotropic…

Strongly Correlated Electrons · Physics 2012-09-03 E. P. Scriven , B. J. Powell

We examine the stability of classical states with a generic incommensurate spiral order against quantum fluctuations. Specifically, we focus on the frustrated spin-1/2 $XY$ and Heisenberg models on the honeycomb lattice with…

Strongly Correlated Electrons · Physics 2014-04-01 Andrea Di Ciolo , Juan Carrasquilla , Federico Becca , Marcos Rigol , Victor Galitski

The Kondo lattice model enlarged by an antiferromagnetic coupling $J_{\rm AF}$ between the localized spins is here investigated using computational techniques. Our results suggest the existence of a d-wave superconducting phase close to…

Strongly Correlated Electrons · Physics 2009-11-13 J. C. Xavier , E. Dagotto