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The Kitaev model, which hosts a quantum spin liquid (QSL) in the ground state, was originally defined on a two-dimensional honeycomb lattice, but can be straightforwardly extended to any tricoordinate lattices in any spatial dimensions. In…

Strongly Correlated Electrons · Physics 2023-05-29 Kiyu Fukui , Yasuyuki Kato , Yukitoshi Motome

We present a theoretical study of the magnetic phase diagram of the frustrated coupled ladder structure realized recently in several materials. This system displays a nondegenerate spin-gap state in the dimer limit and an infinitely…

Strongly Correlated Electrons · Physics 2009-10-30 B. Normand , K. Penc , M. Albrecht , F. Mila

The ground state of the square lattice bilayer quantum antiferromagnet with nearest ($J_1$) and next-nearest ($J_2$) neighbour intralayer interaction is studied by means of the dimer expansion method up to the 6-th order in the interlayer…

Strongly Correlated Electrons · Physics 2009-10-30 Kazuo Hida

We present the zero temperature phase diagram of a Heisenberg antiferromagnet on a frustrated triangular lattice with nearest neighbor ($J_1$) and next nearest neighbor ($J_2$) interactions, in a magnetic field. We show that the classical…

Strongly Correlated Electrons · Physics 2017-05-25 Mengxing Ye , Andrey V. Chubukov

We show that the Kasteleyn transition, the abrupt proliferation of infinite strings of defects in classical dimer and related models, can also be relevant for frustrated 2d quantum magnets. This is explicitly demonstrated in a phase of the…

We present results of a complementary analysis of the frustrated planar J_1-J_2-J_3 spin-1/2 quantum-antiferromagnet. Using dynamical functional renormalization group, high-order coupled cluster calculations, and series expansion based on…

Strongly Correlated Electrons · Physics 2011-09-13 Johannes Reuther , Peter Wölfle , Rachid Darradi , Wolfram Brenig , Marcelo Arlego , Johannes Richter

We study the spin-1/2 Ising-XXZ model on a decorated honeycomb lattice composed of five spins per unit cell, one Ising spin, and four Heisenberg spins. This model involving the Heisenberg exchange interaction is one of the few models that…

Statistical Mechanics · Physics 2022-07-20 Onofre Rojas

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 spin-1/2 Heisenberg model on the pyrochlore lattice is an iconic frustrated three-dimensional spin system with a rich phase diagram. Besides hosting several ordered phases, the model is debated to possess a spin-liquid ground state when…

Strongly Correlated Electrons · Physics 2021-11-16 Nikita Astrakhantsev , Tom Westerhout , Apoorv Tiwari , Kenny Choo , Ao Chen , Mark H. Fischer , Giuseppe Carleo , Titus Neupert

We study a ferromagnetic Heisenberg spin system on the square lattice, with nearest neighbors interaction J_1 frustrated by second J_2 and third J_3 neighbors antiferromagnetic interactions, using a mean field theory for the Schwinger boson…

Strongly Correlated Electrons · Physics 2012-03-16 H. Feldner , D. C. Cabra , G. L. Rossini

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 spin S=1 antiferromagnetic Heisenberg model on the square lattice with, in addition to the nearest-neighbor interaction, a three-site interaction of the form (S_i S_j)*(S_j S_k) + h.c.. This interaction appears naturally in a…

Strongly Correlated Electrons · Physics 2015-06-16 F. Michaud , F. Mila

We investigate a spin-$1/2$ two-leg honeycomb ladder with frustrating next-nearest-neighbor (NNN) coupling along the legs, which is equivalent to two $J_1$-$J_2$ spin chains coupled with $J_\perp$ at odd rungs. The full parameter region of…

Strongly Correlated Electrons · Physics 2018-07-04 Qiang Luo , Shijie Hu , Jize Zhao , Alexandros Metavitsiadis , Sebastian Eggert , Xiaoqun Wang

Competing interactions in quantum magnets lead to a variety of emergent states, including ordered phases, nematic magnets and quantum spin liquids. Among them, topological quantum magnets represent a promising platform to create topological…

Strongly Correlated Electrons · Physics 2025-02-26 Pascal M. Vecsei , Jose L. Lado

We present the phase diagram in a magnetic field of a 2D isotropic Heisenberg antiferromagnet on a triangular lattice. We consider spin-$S$ model with nearest-neighbor ($J_1$) and next-nearest-neighbor ($J_2$) interactions. We focus on the…

Strongly Correlated Electrons · Physics 2017-10-25 Mengxing Ye , Andrey V. Chubukov

Using variational wave functions and Monte Carlo techniques, we study the antiferromagnetic Heisenberg model with first-neighbor $J_1$ and second-neighbor $J_2$ antiferromagnetic couplings on the honeycomb lattice. We perform a systematic…

Strongly Correlated Electrons · Physics 2017-10-06 Francesco Ferrari , Samuel Bieri , Federico Becca

The spin-3/2 Heisenberg antiferromagnet on the bilayer honeycomb lattice is a minimal model to describe the magnetic behavior of Bi$_3$Mn$_4$O$_{12}$(NO$_3$). We study this model with frustrating inter-layer second-neighbor couplings,…

Strongly Correlated Electrons · Physics 2021-12-15 S. Acevedo , C. A. Lamas , P. Pujol

Magnetic phase diagram of a spatially anisotropic, frustrated spin-1/2 Heisenberg antiferromagnet on a stacked square lattice is investigated using second-order spin-wave expansion. The effects of interlayer coupling and the spatial…

Strongly Correlated Electrons · Physics 2011-01-10 Kingshuk Majumdar

Simulating low-temperature properties of three-dimensional frustrated quantum magnets is challenging due to the sign problem and the system sizes required to mitigate substantial finite-size effects. However, there are many experimental…

Strongly Correlated Electrons · Physics 2026-02-11 Rajah P. Nutakki , Filippo Vicentini

Motivated by recent experiments on $\beta-$Li$_2$IrO$_3$, we study the phase diagram of the Heisenberg-Kitaev model on a three dimensional lattice of tri-coordinated Ir$^{4+}$, dubbed the hyperhoneycomb lattice by Takagi et. al. The lattice…

Strongly Correlated Electrons · Physics 2014-01-22 Eric Kin-Ho Lee , Robert Schaffer , Subhro Bhattacharjee , Yong Baek Kim
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