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In the present paper we present some new data supporting the existence of a spin-disordered phase in the Heisenberg model on the honeycomb lattice with antiferromagnetic interactions up to third neighbors along the line J2=J3, predicted in…

Strongly Correlated Electrons · Physics 2011-06-01 D. C. Cabra , C. A. Lamas , H. D. Rosales

The study of quantum frustrated systems remains one of the most challenging subjects of quantum magnetism, as they can hold quantum spin liquids, whose characterization is quite elusive. The presence of gapped quantum spin liquids…

Strongly Correlated Electrons · Physics 2019-10-16 D. Castells-Graells , A. Yuste , A. Sanpera

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

Motivated by the search for unconventional orders in frustrated quantum magnets, we present a multi-method investigation into the nature of the quantum phase diagram of the spin-$1/2$ Heisenberg model on the maple-leaf lattice with three…

Strongly Correlated Electrons · Physics 2026-02-26 Lasse Gresista , Dominik Kiese , Simon Trebst , Yasir Iqbal

We study the phase diagram of the frustrated Heisenberg model on the triangular lattice with nearest and next-nearest neighbor spin exchange coupling, on 3-leg ladders. Using the density-matrix renormalization-group method, we obtain the…

Strongly Correlated Electrons · Physics 2018-04-13 S. N. Saadatmand , B. J. Powell , I. P. McCulloch

The Heisenberg triangular lattice quantum spin liquid and the phase transitions to nearby magnetic orders have received much theoretical attention, but clear experimental manifestations of these states are rare. This work investigates a new…

Experimental quest for the hypothetical "quantum spin liquid" state has recently met a few promising candidate materials including organic salts \kappa-(ET)2Cu2(CN)3 and EtMe3Sb[Pd(dmit)2]2, S=1/2 triangular-lattice Heisenberg…

Strongly Correlated Electrons · Physics 2015-06-17 Ken Watanabe , Hikaru Kawamura , Hiroki Nakano , Toru Sakai

The quantum spin-1/2 antiferromagnetic Heisenberg model on a two dimensional triangular lattice geometry with spatial anisotropy is relevant to describe materials like ${\rm Cs_2 Cu Cl_4}$ and organic compounds like…

Strongly Correlated Electrons · Physics 2011-11-09 Seiji Yunoki , Sandro Sorella

In the quest for quantum spin liquids in three spatial dimensions (3D), we study the half-filled Hubbard model on the simple cubic lattice with hopping processes up to third neighbors. Employing the variational cluster approach (VCA), we…

Strongly Correlated Electrons · Physics 2016-02-17 Manuel Laubach , Darshan G. Joshi , Johannes Reuther , Ronny Thomale , Matthias Vojta , Stephan Rachel

We examine the phase diagram of the spin-$1$ $J_1-J_2-J_3$ ferromagnetic Heisenberg model with an easy-plane crystal field on the cubic lattice, in which $J_1$ is the ferromagnetic exchange interaction between nearest neighbors, $J_2$ is…

Strongly Correlated Electrons · Physics 2016-03-02 D. C. Carvalho , A. S. T. Pires , L. A. S. Mól

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

Spin liquids occuring in 2D frustrated spin systems were initially assumed to appear at strongest frustration, but evidence grows that they more likely intervene at transitions between two different types of order. To identify if this is…

Strongly Correlated Electrons · Physics 2013-01-30 Philipp Hauke

We investigate the $J_1$-$J_2$ Heisenberg model on the triangular lattice with an additional scalar chirality term and show that a chiral spin liquid is stabilized in a sizeable region of the phase diagram. This topological phase is…

Strongly Correlated Electrons · Physics 2017-02-01 Alexander Wietek , Andreas M. Läuchli

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

The spin-1/2 J1-J2 antiferromagnet is a prototypical model for frustrated magnetism and one possible candidate for a realization of a spin liquid phase. The generalization of this system on the anisotropic square lattice is given by the…

Strongly Correlated Electrons · Physics 2014-06-25 Alexandros Metavitsiadis , Daniel Sellmann , Sebastian Eggert

The behavior of the paradigmatic $J_1-J_2$ triangular lattice Heisenberg antiferromagnet in a magnetic field remains unsettled despite decades of study. We map out the phase diagram using three complementary approaches, including…

Strongly Correlated Electrons · Physics 2025-12-10 Thomas Bader , Shi Feng , Sasank Budaraju , Federico Becca , Johannes Knolle , Frank Pollmann

In the present paper, we study spin-${1 \over 2}$ antiferromagnetic (AF) Heisenberg model on layered anisotropic triangular lattice and obtain its phase structure. We use the Schwinger bosons for representing spin operators and also…

Strongly Correlated Electrons · Physics 2011-07-26 Kazuya Nakane , Takeshi Kamij , Ikuo Ichinose

We study a disordered classical Heisenberg magnet with uniformly antiferromagnetic interactions which are frustrated on account of their long-range Coulomb form, {\em i.e.} $J(r)\sim -A\ln r$ in $d=2$ and $J(r)\sim A/r$ in $d=3$. This…

Strongly Correlated Electrons · Physics 2015-09-02 J. Rehn , Arnab Sen , Alexei Andreanov , Kedar Damle , R. Moessner , A. Scardicchio

It is generally believed that the spin-$\tfrac{1}{2}$ triangular-lattice $J_1$-$J_2$ Heisenberg model hosts a quantum spin liquid in the intermediate regime between the $120^\circ$ and stripe ordered phases. Density matrix renormalization…

Strongly Correlated Electrons · Physics 2026-03-11 Oleksandra Kovalska , Ester Pagès Fontanella , Benedikt Schneider , Hong-Hao Tu , Jan von Delft

We perform an extensive density matrix renormalization group (DMRG) study of the ground-state phase diagram of the spin-1/2 J_1-J_2 Heisenberg model on the kagome lattice. We focus on the region of the phase diagram around the kagome…

Strongly Correlated Electrons · Physics 2015-03-26 Fabian Kolley , Stefan Depenbrock , Ian P. McCulloch , Ulrich Schollwöck , Vincenzo Alba