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Related papers: Anisotropic deconfined criticality in Dirac spin l…

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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

We study the quantum phase diagram of the spin-$1/2$ Heisenberg model on the kagom\'e lattice with first-, second-, and third-neighbor interactions $J_1$, $J_2$, and $J_3$ by means of density matrix renormalization group. For small $J_2$…

Strongly Correlated Electrons · Physics 2015-04-23 Shou-Shu Gong , Wei Zhu , Leon Balents , D. N. Sheng

Quantum spin liquids are exotic phases of quantum matter especially pertinent to many modern condensed matter systems. Dirac spin liquids (DSLs) are a class of gapless quantum spin liquids that do not have a quasi-particle description and…

Strongly Correlated Electrons · Physics 2025-02-19 Yunchao Zhang , Xue-Yang Song , T. Senthil

We study the ground-state properties of the quantum spin liquid (QSL) phases of the spin-$1/2$ antiferromagnetic Heisenberg model on the triangular lattice with nearest- ($J_1$), next-nearest- ($J_2$), and third-neighbor ($J_3$)…

Strongly Correlated Electrons · Physics 2023-05-10 Yi-Fan Jiang , Hong-Chen Jiang

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

Applying the (infinite) density-matrix renormalisation group technique, we explore the effect of an explicit dimerisation on the ground-state phase diagram of the spin-1 $XXZ$ chain with single-ion anisotropy $D$. We demonstrate that the…

Strongly Correlated Electrons · Physics 2021-04-15 Satoshi Ejima , Florian Lange , Holger Fehske

There is growing evidence from both experiment and numerical studies that low half-odd integer quantum spins on a kagome lattice with predominant antiferromagnetic near neighbor interactions do not order magnetically or break lattice…

Strongly Correlated Electrons · Physics 2009-11-13 S. Ryu , O. I. Motrunich , J. Alicea , Matthew P. A. Fisher

Puzzled by the indication of a new critical theory for the spin-1/2 Heisenberg model with a spatially staggered anisotropy on the square lattice as suggested in \cite{Wenzel08}, we re-investigate the phase transition of this model induced…

Strongly Correlated Electrons · Physics 2010-11-01 F. -J. Jiang

Previous studies of the $S=1/2$ triangular-lattice $J_1$--$J_2$ Heisenberg antiferromagnet have inferred the existence of a non-magnetic ground-state phase for an intermediate range of $J_2$, but disagree concerning whether it is a gapped…

Strongly Correlated Electrons · Physics 2026-02-17 Shengtao Jiang , Steven R. White , Steven A. Kivelson , Hong-Chen Jiang

The existence of a gapped chiral spin liquid has been recently suggested in the vicinity of the metal-insulator transition of the Hubbard model on the triangular lattice, by intensive density-matrix renormalization group (DMRG) simulations…

Strongly Correlated Electrons · Physics 2021-11-01 Luca F. Tocchio , Arianna Montorsi , Federico Becca

The ground state phase of spin-1/2 $J_1$-$J_2$ antiferromagnetic Heisenberg model on square lattice around the maximally frustrated regime ($J_2\sim 0.5J_1$) has been debated for decades. Here we study this model using the cluster update…

Strongly Correlated Electrons · Physics 2016-08-24 Ling Wang , Zheng-Cheng Gu , Frank Verstraete , Xiao-Gang Wen

Motivated by the unexpected Monte Carlo results as well as the theoretical proposal of a large correction to scaling for the critical theory of the 2-d staggered-dimer spin-1/2 Heisenberg model on the square lattice, we study the phase…

Strongly Correlated Electrons · Physics 2012-06-19 M. -T. Kao , D. -J. Tan , F. -J. Jiang

We study the strong coupling model of $d^1$ transition metal tri-halides in the large spin-orbit coupled limit. By considering ab-initio-calculation-inspired hierarchy of hopping pathways of these compounds, SU(4) symmetry is found to…

Strongly Correlated Electrons · Physics 2025-08-27 Manoj Gupta , Arijit Haldar , Subhro Bhattacharjee , Tanusri Saha-Dasgupta

We investigate the effect of nonmagnetic disorder on the stability of the algebraic spin liquid ($ASL$) by deriving an effective field theory, nonlinear $\sigma$ model ($NL{\sigma}M$). We find that the anomalous critical exponent…

Strongly Correlated Electrons · Physics 2009-11-11 Ki-Seok Kim

The competition between fractionalized spin-liquid states and magnetically ordered phases is an important paradigm in frustrated magnetism. Spin-orbit coupled Mott insulators with Ising-like magnetic anisotropies, such as Kitaev materials,…

Strongly Correlated Electrons · Physics 2022-12-08 G. Shankar , Chien-Hung Lin , Joseph Maciejko

Generalised hydrodynamics predicts universal ballistic transport in integrable lattice systems when prepared in generic inhomogeneous initial states. However, the ballistic contribution to transport can vanish in systems with additional…

Statistical Mechanics · Physics 2017-07-14 Marko Ljubotina , Marko Znidaric , Tomaz Prosen

The spin-$1/2$ $J_1-J_2$ Heisenberg model on the square lattice represents one of the simplest examples in which the effets of magnetic interactions may suppress magnetic order, eventually leading to a pure quantum phase with no local order…

Strongly Correlated Electrons · Physics 2020-07-15 Francesco Ferrari , Federico Becca

We show that several distinct broken-symmetry phases in a spin-1/2 anti-ferromagnet on a square lattice with easy-plane anisotropy, including valence bond solid, chiral spin liquid, and the XY-ordered state, can all be accessed by…

Strongly Correlated Electrons · Physics 2022-05-03 Oğuz Türker , Kun Yang

We explore critical properties of two-dimensional lattices of spins interacting via an anisotropic Heisenberg Hamiltonian and subject to incoherent spin flips. We determine the steady-state solution of the master equation for the density…

Quantum Physics · Physics 2017-04-26 R. Rota , F. Storme , N. Bartolo , R. Fazio , C. Ciuti

Antiferromagnets on the Shastry-Sutherland lattice have attracted lots of research interest due to the possible existence of deconfined criticality. In the present work, we study the $J_1$-$J_2$-$J_r$ model using Variational Monte Carlo…

Strongly Correlated Electrons · Physics 2026-03-16 Lvcheng Chen , Zheng-Xin Liu
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