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The theory for the vanishing of N\'eel order in the spin $S=1/2$ square lattice antiferromagnet has been the focus of attention for many decades. A consensus appears to have emerged in recent numerical studies on the antiferromagnet with…

Strongly Correlated Electrons · Physics 2025-09-09 Leyna Shackleton , Alex Thomson , Subir Sachdev

We report variational Monte Carlo calculations for the spin-$\frac{1}{2}$ Heisenberg model on the kagome lattice in the presence of both nearest-neighbor $J_1$ and next-nearest-neighbor $J_2$ antiferromagnetic superexchange couplings. Our…

Strongly Correlated Electrons · Physics 2015-01-13 Yasir Iqbal , Didier Poilblanc , Federico Becca

We present a fermionic gauge theory for deconfined quantum criticality on the Shastry-Sutherland lattice and reveal its shared low-energy field-theoretic structure with the square lattice. Starting from an SU(2) $\pi$-flux parent state, we…

Strongly Correlated Electrons · Physics 2026-01-29 Andreas Feuerpfeil , Leyna Shackleton , Atanu Maity , Ronny Thomale , Subir Sachdev , Yasir Iqbal

We present a field theory description of a quantum phase transition in two spatial dimensions between a $U(1)$ algebraic spin liquid with $N$ flavors of gapless two-component Dirac fermionic spinons and a gapped $\mathbb{Z}_2$ spin liquid.…

Strongly Correlated Electrons · Physics 2018-07-26 Rufus Boyack , Chien-Hung Lin , Nikolai Zerf , Ahmed Rayyan , Joseph Maciejko

A complicating factor in the realization and observation of quantum spin liquids in materials is the ubiquitous presence of other degrees of freedom, in particular lattice distortion modes (phonons). These provide additional routes for…

Strongly Correlated Electrons · Physics 2024-08-20 Urban F. P. Seifert , Josef Willsher , Markus Drescher , Frank Pollmann , Johannes Knolle

We investigate the spin-$\frac{1}{2}$ Heisenberg model on the triangular lattice in the presence of nearest-neighbor $J_1$ and next-nearest-neighbor $J_2$ antiferromagnetic couplings. Motivated by recent findings from density-matrix…

Strongly Correlated Electrons · Physics 2016-04-12 Yasir Iqbal , Wen-Jun Hu , Ronny Thomale , Didier Poilblanc , Federico Becca

We investigate Higgs criticality in candidate U(1) Dirac spin liquids across a family of depleted triangular lattices: the triangular, kagome, and maple-leaf geometries. For each, we identify the symmetry-allowed spinon-pairing channel…

Strongly Correlated Electrons · Physics 2026-04-01 Andreas Feuerpfeil , Atanu Maity , Ronny Thomale , Yasir Iqbal , Subir Sachdev

We revisit the challenging problem of identifying the quantum spin liquid candidate in the spin-1/2 $J_1$-$J_2$ Heisenberg antiferromagnet on the square lattice. By integrating the Gutzwiller-guided density matrix renormalization group…

Strongly Correlated Electrons · Physics 2025-03-11 Hui-Ke Jin , Hong-Hao Tu , Ya-Hui Zhang

The nature of the ground state of the spin $S=1/2$ Heisenberg antiferromagnet on the kagome lattice with breathing anisotropy (i.e., with different superexchange couplings $J_{\vartriangle}$ and $J_{\triangledown}$ within elementary up- and…

Strongly Correlated Electrons · Physics 2018-03-16 Yasir Iqbal , Didier Poilblanc , Ronny Thomale , 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

We propose a finite-temperature phase diagram for the 2D spin-$1/2$ $J_1-J_2$ $XXZ$ antiferromagnet on the triangular lattice. Our analysis, based on a composite fermion representation, yields several phases. This includes a…

Strongly Correlated Electrons · Physics 2020-07-23 Tigran A. Sedrakyan , Roderich Moessner , Alex Kamenev

We study the spin liquid candidate of the spin-$1/2$ $J_1$-$J_2$ Heisenberg antiferromagnet on the triangular lattice by means of density matrix renormalization group (DMRG) simulations. By applying an external Aharonov-Bohm flux insertion…

Strongly Correlated Electrons · Physics 2019-11-25 Shijie Hu , W. Zhu , Sebastian Eggert , Yin-Chen He

We study the energy and the static spin structure factor of the ground state of the spin-1/2 quantum Heisenberg antiferromagnetic model on the kagome lattice. By the iterative application of a few Lanczos steps on accurate projected…

Strongly Correlated Electrons · Physics 2015-03-20 Yasir Iqbal , Federico Becca , Sandro Sorella , Didier Poilblanc

By using Gutzwiller projected fermionic wave functions and variational Monte Carlo technique, we study the spin-$1/2$ Heisenberg model with the first-neighbor ($J_1$), second-neighbor ($J_2$), and additional scalar chiral interaction…

Strongly Correlated Electrons · Physics 2016-09-07 Wen-Jun Hu , Shou-Shu Gong , D. N. Sheng

Motivated by inelastic neutron scattering data on Cs_2CuCl_4, we explore spin-1/2 triangular lattice antiferromagnets with both spatial and easy-plane exchange anisotropies, the latter due to an observed Dzyaloshinskii-Moriya interaction.…

Strongly Correlated Electrons · Physics 2009-11-11 Jason Alicea , Olexei I. Motrunich , Matthew P. A. Fisher

We provide strong numerical evidence, using improved variational wave functions, for a ground state with vanishing spin gap in the spin-$1/2$ quantum Heisenberg model on the kagome lattice. Starting from the algebraic $U(1)$ Dirac spin…

Strongly Correlated Electrons · Physics 2014-01-20 Yasir Iqbal , Didier Poilblanc , Federico Becca

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 antiferromagnetic spin-$1/2$ Heisenberg model on a kagome lattice is one of the most paradigmatic models in the context of spin liquids, yet the precise nature of its ground state is not understood. We use large scale density matrix…

Strongly Correlated Electrons · Physics 2017-08-02 Yin-Chen He , Michael P. Zaletel , Masaki Oshikawa , Frank Pollmann

We establish that spin liquids described in terms of gapless fermionic (Dirac) spinons and gapless U(1) gauge fluctuations can be stable in two dimensions, at least when the physical SU(2) spin symmetry is generalized to SU(N).…

Strongly Correlated Electrons · Physics 2007-05-23 Michael Hermele , T. Senthil , Matthew P. A. Fisher , Patrick A. Lee , Naoto Nagaosa , Xiao-Gang Wen

Although magnetically ordered at low temperatures, the spin-1/2 triangular antiferromagnet Cs_2CuCl_4 exhibits remarkable spin dynamics that strongly suggest proximity to a spin liquid phase. Here we address the question of whether a…

Strongly Correlated Electrons · Physics 2013-05-29 Jason Alicea , Matthew P. A. Fisher
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