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The properties of the groundstate and first excitations of 2dimensionnal quantum antiferromagnets are rapidly sketched. A special emphasis is put on the gapped phases: Valence Bond Crystals and the two types of Spin Liquids. New results on…

强关联电子 · 物理学 2007-05-23 C. Lhuillier , P. Sindzingre

Using the modified spin-wave theory we calculate static and dynamic spin structure factors in spin-liquid state of the J1-J2 model. The spectrum of excitations in the vector channel is discussed. The developed technique can also be applied…

凝聚态物理 · 物理学 2007-05-23 O. P. Sushkov

We investigate classical Heisenberg models on the distorted windmill lattice and discuss their applicability to the spin-$1/2$ spin liquid candidate PbCuTe$_2$O$_6$. We first consider a general Heisenberg model on this lattice with…

强关联电子 · 物理学 2025-01-28 Anna Fancelli , Johannes Reuther , Bella Lake

We investigated the isotropic spin-1/2 Heisenberg model on an anisotropic square lattice with competing exchange interactions, motivated by the unconventional magnetic behavior observed in the verdazyl-based compound (o-MePy-V)PF6. Using a…

强关联电子 · 物理学 2025-11-21 L. M. Ramos , M. Schmidt , F. M. Zimmer

We study the dynamical structure factor of the frustrated spin-$3/2$ $J_1$-$J_2$ Heisenberg chains, with particular focus on the partially dimerized phase that emerges between two Kosterlitz-Thouless transitions. Using a valence bond solid…

强关联电子 · 物理学 2025-09-04 Aman Sharma , Mithilesh Nayak , Natalia Chepiga , Frédéric Mila

A preponderance of evidence suggests that the ground state of the nearest-neighbor $S = 1/2$ antiferromagnetic Heisenberg model on the kagome lattice is a gapless spin liquid. Many candidate materials for the realization of this model…

强关联电子 · 物理学 2018-12-13 Chih-Yuan Lee , B. Normand , Ying-Jer Kao

We explore the effect of the third nearest-neighbors on the magnetic properties of the Heisenberg model on an anisotropic triangular lattice. We obtain the phase diagram of the model using Schwinger-boson mean-field theory. Competition…

强关联电子 · 物理学 2014-06-18 Jaime Merino , Michael Holt , Ben J. Powell

Kitaev's honeycomb-lattice spin-$1/2$ model has become a paradigmatic example for $\mathbb{Z}_2$ quantum spin liquids, both gapped and gapless. Here we study the fate of these spin-liquid phases in differently stacked bilayer versions of…

Quantum antiferromagnets on geometrically frustrated lattices have long attracted interest for the formation of quantum disordered states and the possible emergence of quantum spin liquid (QSL) ground states. Here we turn to the…

强关联电子 · 物理学 2023-12-21 Lasse Gresista , Ciarán Hickey , Simon Trebst , Yasir Iqbal

A spin liquid is a novel quantum state of matter with no conventional order parameter where a finite charge gap exists even though the band theory would predict metallic behavior. Finding a stable spin liquid in two or higher spatial…

强关联电子 · 物理学 2012-12-20 Sandro Sorella , Yuichi Otsuka , Seiji Yunoki

The one-dimensional Holstein model and its generalizations have been studied extensively to understand the effects of electron-phonon interaction. The half-filled case is of particular interest, as it describes a transition from a metallic…

强关联电子 · 物理学 2015-12-29 J. Greitemann , S. Hesselmann , S. Wessel , F. F. Assaad , M. Hohenadler

We show that the electronic structures of the title compounds predicted by density functional theory (DFT) are well described by tight binding models. We determine the frustration ratio, J'/J, of the Heisenberg model on the anisotropic…

强关联电子 · 物理学 2012-09-03 E. P. Scriven , B. J. Powell

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…

强关联电子 · 物理学 2016-04-12 Yasir Iqbal , Wen-Jun Hu , Ronny Thomale , Didier Poilblanc , Federico Becca

Material realizations of the bond-dependent Kitaev interactions with $S$=1/2 local moments have vitalized the research in quantum spin liquids. Recently, it has been proposed that higher-spin analogues of the Kitaev interactions may also…

强关联电子 · 物理学 2021-02-24 Ilia Khait , P. Peter Stavropoulos , Hae-Young Kee , Yong Baek Kim

In the search for quantum spin liquids, candidate materials for the Kitaev model and its extensions have been intensively explored during the past decade, as the models realize the exact quantum spin liquids in the ground state. Thus far,…

强关联电子 · 物理学 2018-01-22 Ryoya Sano , Yasuyuki Kato , Yukitoshi Motome

Three decades ago Ioffe and Larkin pointed out a generic mechanism for the formation of a gapped spin liquid. In the case when a classical two-dimensional (2D) frustrated Heisenberg magnet undergoes a Lifshitz transition between a collinear…

强关联电子 · 物理学 2018-10-24 Yaroslav A. Kharkov , Jaan Oitmaa , Oleg P. Sushkov

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…

强关联电子 · 物理学 2017-02-01 Alexander Wietek , Andreas M. Läuchli

Spin-lattice relaxation is a key open problem to understand the spin dynamics of single-molecule magnets and molecular spin qubits. While modelling the coupling between spin states and local vibrations allows to determine the more relevant…

原子与分子团簇 · 物理学 2021-11-08 Aman Ullah , José J. Baldoví , Alejandro Gaita-Ariño , Eugenio Coronado

Motivated by recent numerical work, we use the boson-vortex duality to study the possible phases of the frustrated spin-$\frac{1}{2}$ $J_1-J_2$ XXZ models on the honeycomb lattice. By condensing the vortices, we obtain various gapped phases…

强关联电子 · 物理学 2018-01-17 Han Ma

The interplay between electron-electron and electron-phonon interactions is studied in a one-dimensional lattice model, by means of a variational Monte Carlo method based on generalized Jastrow-Slater wave functions. Here, the fermionic…

强关联电子 · 物理学 2025-02-18 Davide Piccioni , Francesco Ferrari , Michele Fabrizio , Federico Becca