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Related papers: Topological Phases in Half-Integer Higher Spin $J_…

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The ground-state and low-energy properties of the two-dimensional $J_1{-}J_2$ Heisenberg model in the collinear phase are investigated using finite-size spin-wave theory [Q. F. Zhong and S. Sorella, {\em Europhys. Lett.} {\bf 21}, 629…

Strongly Correlated Electrons · Physics 2009-11-10 Luca Capriotti

We analyse the antiferromagnetic spin-1/2 Heisenberg model on a depleted kagome lattice, where some bonds have been reduced to exchange integral J_2 << J_1. The fully depleted system consists of 1D chains, each with a doubly degenerate…

Strongly Correlated Electrons · Physics 2007-05-23 C. Hooley , A. M. Tsvelik

We use linked-cluster series expansions, both at T=0 and high temperature, to analyse the phase structure of the spin-$\half$ Heisenberg antiferromagnet with competing first and second-neighbor interactions on the 3-dimensional…

Condensed Matter · Physics 2009-11-10 Jaan Oitmaa , Weihong Zheng

The $J_1-J_2$ spin chain model with nearest neighbor $J_1$ and next nearest neighbor anti-ferromagnetic $J_2$ interaction is one of the most popular frustrated magnetic models. This model system has been extensively studied theoretically…

Strongly Correlated Electrons · Physics 2017-08-16 Aslam Parvej , Manoranjan Kumar

Ground-state and thermodynamic properties of the one-dimensional Heisenberg antiferromagnet in which two S=1/2 and two S=1 spins are arranged alternatively are studied by a quantum Monte Carlo method and by analytical estimates. It is found…

Strongly Correlated Electrons · Physics 2007-05-23 T. Tonegawa , T. Hikihara , T. Nishino , M. Kaburagi , S. Miyashita , H. -J. Mikeska

Using the coupled cluster method for high orders of approximation and Lanczos exact diagonalization we study the ground-state phase diagram of a quantum spin-1/2 J1-J2 model on the square lattice with plaquette structure. We consider…

Strongly Correlated Electrons · Physics 2015-06-05 O. Götze , S. E. Krüger , F. Fleck , J. Schulenburg , J. Richter

Using infinite projected entangled pair states, we study the ground state phase diagram of the spin-1 bilinear-biquadratic Heisenberg model on the square lattice directly in the thermodynamic limit. We find an unexpected partially nematic…

Strongly Correlated Electrons · Physics 2017-11-01 Ido Niesen , Philippe Corboz

We investigate the quantum phases of the frustrated spin-$\frac{1}{2}$ $J_1$-$J_2$-$J_3$ Heisenberg model on the square lattice with ferromagnetic $J_1$ and antiferromagnetic $J_2$ and $J_3$ interactions. Using the pseudo-fermion functional…

Strongly Correlated Electrons · Physics 2016-12-06 Yasir Iqbal , Pratyay Ghosh , Rajesh Narayanan , Brijesh Kumar , Johannes Reuther , Ronny Thomale

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

Using state of the art tensor network computations combined with spin wave theory, we compute the finite temperature phase diagram of the spin 1/2 $J_1-J_2$ Heisenberg model on the square lattice with ferromagnetic $J_1 < 0$ and…

Strongly Correlated Electrons · Physics 2023-10-17 Olivier Gauthé , Frédéric Mila

We consider a spin-1/2 ladder with a ferromagnetic rung coupling J_\perp and inequivalent chains. This model is obtained by a twist (\theta) deformation of the ladder and interpolates between the isotropic ladder (\theta=0) and the SU(2)…

Strongly Correlated Electrons · Physics 2008-05-16 C. Brünger , F. F. Assaad , S. Capponi , F. Alet , D. N. Aristov , M. N. Kiselev

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

The two-dimensional $S=1/2$ asymmetric Heisenberg Mattis model is investigated with the exact diagonalization of finite clusters. The N\'eel order parameter and the spin glass order parameter can be smoothly extrapolated to the…

Condensed Matter · Physics 2016-08-31 Yoshihiko Nonomura

We investigate the spatially anisotropic square lattice quantum antiferromagnet. The model describes isotropic spin-1/2 Heisenberg chains (exchange constant J) coupled antiferromagnetically in the transverse (J_\perp) and diagonal…

Strongly Correlated Electrons · Physics 2007-05-23 Oleg A. Starykh , Leon Balents

We examine the ground-state phase diagram of the t-J model in one dimension by means of the Density Matrix Renormalization Group. This model is characterized by a rich phase diagram as a function of the exchange interaction J and the…

Strongly Correlated Electrons · Physics 2015-03-17 Alexander Moreno , Alejandro Muramatsu , Salvatore R. Manmana

For special coupling ratios, the one-dimensional (1D) s=1/2 Heisenberg model with antiferromagnetic nearest and next-nearest neighbor interactions has a pure dimer ground state, and the 1D s=1 Heisenberg model with antiferromagnetic…

Condensed Matter · Physics 2009-10-28 Yongmin Yu , Gerhard Müller

We present the dynamical spin structure factor of the antiferromagnetic spin-$\frac{1}{2}$ $J_1-J_2$ Heisenberg model on a triangular lattice obtained from large-scale matrix-product state simulations. The high frustration due to the…

Strongly Correlated Electrons · Physics 2023-12-11 Markus Drescher , Laurens Vanderstraeten , Roderich Moessner , Frank Pollmann

We study an isotropic Heisenberg spin-1/2 model on a trellis ladder which is composed of two $J_1-J_2$ zigzag ladders interacting through anti-ferromagnetic rung couplings $J_3$. The $J_1$ and $J_2$ are ferromagnetic zigzag spin interaction…

Strongly Correlated Electrons · Physics 2019-12-25 Debasmita Maiti , Manoranjan Kumar

We investigate the ground state phase diagram of the spin-$1/2$ antiferromagnetic Heisenberg model on the star lattice using infinite projected entangled pair states (iPEPS) and high-order series expansions. The model includes two distinct…

Strongly Correlated Electrons · Physics 2025-12-17 Pratyay Ghosh , Jan Koziol , Samuel Nyckees , Kai Phillip Schmidt , Frédéric Mila

Liu et al. [Phys.Rev.B 98, 241109 (2018)] used Monte Carlo sampling of the physical degrees of freedom of a Projected Entangled Pair State (PEPS) type wave function for the $S=1/2$ frustrated $J_1$-$J_2$ Heisenberg model on the square…

Strongly Correlated Electrons · Physics 2020-04-15 Bowen Zhao , Jun Takahashi , Anders W. Sandvik