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We investigate a highly frustrated spin-1 model on the triangular lattice, with nearest- and next-nearest-neighbor antiferromagnetic $S\cdot S$ interactions and nearest-neighbor $(S\cdot S)^2$ interactions. Using the density matrix…

Strongly Correlated Electrons · Physics 2022-09-21 Aaron Szasz , Chong Wang , Yin-Chen He

We investigate the nematic phase transition in the Heisenberg $J_1$-$J_2$-model on square and triangular lattices, accounting for finite lattice compressibility and bond-length-dependent magnetic exchange. Using Nematic Bond Theory, a…

Strongly Correlated Electrons · Physics 2026-02-17 Olav F. Syljuåsen , Jens Paaske

We use the density matrix renormalization group method to study the ground state properties of an antiferromagnetic spin-$1$ chain with a next-nearest neighbor exchange $J_2 ~$ and an alternation $\delta$ of the nearest neighbor exchanges.…

Condensed Matter · Physics 2009-10-28 Swapan Pati , R. Chitra , Diptiman Sen , H. R. Krishnamurthy , S. Ramasesha

Using large-scale density-matrix renormalization group calculations and minimally augmented spin-wave theory, we demonstrate that the phase diagram of the quantum $S\!=\!\frac12$ $J_1$--$J_3$ ferro-antiferromagnetic model on the honeycomb…

Strongly Correlated Electrons · Physics 2025-04-22 Shengtao Jiang , Steven R. White , A. L. Chernyshev

Using a new version of the density-matrix renormalization group we determine the phase diagram of a model of an antiferromagnetic Heisenberg spin chain where the spins interact with quantum phonons. A quantum phase transition from a gapless…

Condensed Matter · Physics 2009-10-31 Robert J. Bursill , Ross H. McKenzie , Chris J. Hamer

The coupled cluster method (CCM) is a well-known method of quantum many-body theory, and here we present an application of the CCM to the spin-half J_1--J_2 quantum spin model with nearest- and next-nearest-neighbour interactions on the…

Strongly Correlated Electrons · Physics 2017-08-24 Raymond F. Bishop , Damian J. J. Farnell , John B. Parkinson

We present a new scenario for the breakdown of ferromagnetic order in a two-dimensional quantum magnet with competing ferromagnetic and antiferromagnetic interactions. In this, dynamical effects lead to the formation of two-magnon bound…

Strongly Correlated Electrons · Physics 2009-11-11 Nic Shannon , Tsutomu Momoi , Philippe Sindzingre

We study numerically the thermodynamic properties of the spin nematic phases in a magnetic field in the spin-1 bilinear-biquadratic model. When the field is applied, the phase transition temperature once goes up and then decreases rapidly…

Strongly Correlated Electrons · Physics 2020-10-14 Katsuhiro Tanaka , Chisa Hotta

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 the magnetization process of a 1D extended Heisenberg model, the $J$-$Q$ model, as a function of an external magnetic field. In this model, $J$ represents the traditional antiferromagnetic Heisenberg exchange and $Q$ is the…

Strongly Correlated Electrons · Physics 2017-05-30 Adam Iaizzi , Kedar Damle , Anders W. Sandvik

Quantum phase transition in dimerized antiferromagnetic Heisenberg spin chain has been studied. A staircase structure in the variation of concurrence within strongly coupled pairs with that of external magnetic field has been observed…

Quantum Physics · Physics 2015-03-31 Aparajita Das , Sreeparna Bhadra , Sonali Saha

We use the coupled cluster method to investigate the ground-state (GS) properties of the frustrated spin-1/2 $J_{1}$-$J_{2}$-$J_{3}$ model on the honeycomb lattice, with nearest-neighbor exchange coupling $J_1$ plus next-nearest-neighbor…

Strongly Correlated Electrons · Physics 2012-04-24 P. H. Y. Li , R. F. Bishop

We perform an in-depth investigation of the phase diagram of the $J_1-J_2$ Heisenberg model on the square lattice. We take advantage of Density Matrix Renormalization Group and Fully-Augmented Matrix Product States methods and reach…

Strongly Correlated Electrons · Physics 2024-04-09 Xiangjian Qian , Mingpu Qin

Strongly interacting systems are known to often spontaneously develop exotic ground states under certain conditions. For instance, spin nematic phases have been discovered in various magnetic models. Such phases, which break spin symmetry…

Strongly Correlated Electrons · Physics 2007-05-23 S. Capponi , F. F. Assaad

Motivated by recent experiments on the frustrated quantum magnetic compound YbMgGaO4, we study an effective spin model on triangular lattice taking into account the effects of the spin-orbit coupling. We determine the classical ground-state…

Strongly Correlated Electrons · Physics 2016-11-17 Changle Liu , Xiaoqun Wang , Rong Yu

In an externally applied magnetic field, ultra-pure crystals of the bilayer compound Sr$_3$Ru$_2$O$_7$ undergo a metamagnetic transition below a critical temperature, $T^*$, which varies as a function of the angle between the magnetic field…

Strongly Correlated Electrons · Physics 2015-05-13 S. Raghu , A. Paramekanti , E. -A. Kim , R. A. Borzi , S. Grigera , A. P. Mackenzie , S. A. Kivelson

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 consider a lattice model of itinerant electrons coupled to an array of localized classical Heisenberg spins. The nature of the ground state ordered magnetic phases that result from the indirect spin-spin coupling mediated by the…

Strongly Correlated Electrons · Physics 2017-05-25 Wenjian Hu , Richard T. Scalettar , Rajiv R. P. Singh

Ultra-clean crystals of Sr$_3$Ru$_2$O$_7$ undergo a metamagnetic transition at low temperatures. This transition shows a strong anisotropy in the applied field direction with the critical field $H_c$ ranging from $\sim 5.1$T for $H\perp c$…

Strongly Correlated Electrons · Physics 2010-02-26 Mark H. Fischer , Manfred Sigrist

We study S=1 kagome antiferromagnets with isotropic Heisenberg exchange $J$ and strong easy axis single-ion anisotropy $D$. For $D \gg J$, the low-energy physics can be described by an effective $S=1/2$ $XXZ$ model with antiferromagnetic…

Strongly Correlated Electrons · Physics 2009-11-11 Kedar Damle , T. Senthil