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We investigate the properties of S=1/2 Heisenberg clusters with random frustration using exact diagonalizations. This is a model for a quantum spin glass. We show that the average ground state spin is $S \propto \sqrt{N}$, where N is the…

Strongly Correlated Electrons · Physics 2009-02-12 J. Oitmaa , O. P. Sushkov

We investigate properties of a spin-1 Heisenberg model with extended and biquadratic interactions, which captures crucial aspects of the low energy physics in FeSe. While we show that the model exhibits a rich phase diagram with four…

Strongly Correlated Electrons · Physics 2019-03-19 Harrison Ruiz , Yao Wang , Brian Moritz , Andreas Baum , Rudi Hackl , Thomas P. Devereaux

We analyze the frustrated Heisenberg antiferromagnet defined on a honeycomb lattice using a Schwinger-boson mean-field theory. The spin-wave velocity and the susceptibility are presented as functions of the strength of the frustrating…

Condensed Matter · Physics 2009-10-22 Ann Mattsson , Per Fröjdh , Torbjörn Einarsson

We calculate the two-magnon Raman scattering spectra in antiferromagnetic phases of several frustrated spin models defined on the honeycomb lattice. These include the N\'{e}el antiferromagnetic phase of a $J_1$-$J_2$-$J_3$ model and the…

Strongly Correlated Electrons · Physics 2021-04-06 Junru Pan , Feng Jin , Jianting Ji , Qingming Zhang , Rong Yu

We present design techniques of special optical lattices that allow quantum simulation of spin frustration in two-dimensional systems. By carefully overlaying optical lattices with different periods and orientations, we are able to adjust…

Strongly Correlated Electrons · Physics 2015-06-12 Zhi-Xin Chen , Han Ma , Mo-Han Chen , Xiang-Fa Zhou , Lixin He , Guang-Can Guo , Xingxiang Zhou , Yan Chen , Zheng-Wei Zhou

The spin-1/2 Ising-Heisenberg model on martini and martini-diced lattice is exactly solved using a star-triangle transformation, which affords an exact mapping correspondence to an effective spin-1/2 Ising model on a triangular lattice. The…

Statistical Mechanics · Physics 2022-03-23 Hamid Arian Zad , Jozef Strecka

This paper discusses the ground state of quantum spins interacting via Heisenberg antiferromagnetic exchange, in two dimensional lattices having several different local environments. In unfrustrated lattices, when a N\'eel type order…

Strongly Correlated Electrons · Physics 2015-05-19 A. Jagannathan

We consider the $S=1/2$ antiferromagnetic Heisenberg model on a frustrated kagome-lattice bilayer with strong nearest-neighbor interlayer coupling and examine its low-temperature magnetothermodynamics using a mapping onto a rhombi gas on…

Strongly Correlated Electrons · Physics 2025-07-03 Dmytro Yaremchuk , Taras Hutak , Vasyl Baliha , Taras Krokhmalskii , Oleg Derzhko , Jürgen Schnack , Johannes Richter

The ground-state (GS) phase diagram of the frustrated spin-$s$ $J_{1}$--$J_{2}$--$J_{3}$ Heisenberg antiferromagnet on the honeycomb lattice is studied using the coupled cluster method, for spin quantum numbers…

Strongly Correlated Electrons · Physics 2016-05-05 P H Y Li , R F Bishop , C E Campbell

We present numerical results for the $J_1$-$J_2$ Heisenberg model on a triangular lattice at finite temperatures $T>0$. In contrast to unfrustrated lattices we reach much lower $T \sim 0.15 J_1$. In static quantities the novel feature is a…

Strongly Correlated Electrons · Physics 2018-07-11 Peter Prelovšek , Jure Kokalj

We consider the $S=1/2$ Heisenberg antiferromagnet on the Tasaki square lattice (flat-band spin system) and study its low-temperature thermodynamics around the saturation magnetic field. To this end, we construct a mapping of the ground…

Strongly Correlated Electrons · Physics 2026-05-05 Maksym Parymuda , Taras Krokhmalskii , Oleg Derzhko

We study the quantum spin-1/2 Heisenberg model in two dimensions, interacting through a nearest-neighbor antiferromagnetic exchange ($J$) and a ferromagnetic dipolar-like interaction ($J_d$), using double-time Green's function, decoupled…

Statistical Mechanics · Physics 2009-11-11 J. Ricardo de Sousa , N. S. Branco

The magnetic properties and Mott transition of the half-filled Hubbard model on the 1/5 depleted square lattice with frustration is studied at zero temperature by the variational cluster approximation. The $(\pi,\pi)$ N\'eel ordering (AF)…

Strongly Correlated Electrons · Physics 2015-06-22 Atsushi Yamada

We investigate effects of pseudo-spin population imbalance on Mott phases in 1D trapped two-component atomic Fermi gases loaded on optical lattices based on the repulsive Hubbard model in harmonic traps. By using the density matrix…

Strongly Correlated Electrons · Physics 2009-01-30 M. Machida , M. Okumura , S. Yamada , T. Deguchi , Y. Ohashi , H. Matsumoto

We study the impact of the diagonal frustrating couplings on the quantum phase diagram of a two-leg ladder composed of alternating spin-1 and spin-1/2 rungs. As the coupling strength is increased the system successively exhibits two gapped…

Strongly Correlated Electrons · Physics 2015-05-14 V. Ravi Chandra , N. B. Ivanov , J. Richter

In this paper, we propose a method to understand the nature for the quantum disorder phase of the two-dimensional (2D) high spin frustrated model. The ground state and excitation properties of a fully frustrated 2D spin-1 model are studied…

Strongly Correlated Electrons · Physics 2007-08-27 Zi Cai , Shu Chen , Supeng Kou , Yupeng Wang

We study a frustrated spin-$\frac{1}{2}$ $J_{1}$--$J_{2}$--$J_{3}$--$J_{1}^{\perp}$ Heisenberg antiferromagnet on an $AA$-stacked bilayer honeycomb lattice. In each layer we consider nearest-neighbor (NN), next-nearest-neighbor, and…

Strongly Correlated Electrons · Physics 2017-12-20 R. F. Bishop , P. H. Y. Li

Inelastic neutron scattering measurements on the itinerant antiferromagnet (AFM) CaCo$_{\mathrm{2}-y}$As$_{2}$ at a temperature of 8 K reveal two orthogonal planes of scattering perpendicular to the Co square lattice in reciprocal space,…

We analyze the phase transition of the frustrated $J_1$-$J_2$ Ising model with antiferromagnetic nearest- and strong next-nearest neighbor interactions on the square lattice. Using extensive Monte Carlo simulations we show that the nature…

Statistical Mechanics · Physics 2011-11-11 A. Kalz , A. Honecker , M. Moliner

The quantum antiferromagnetic spin-1/2 Ising model on a triangular lattice and analogous fully frustrated Ising model on a square lattice with quantum fluctuations induced by the application of the transverse magnetic field are studied at…

Strongly Correlated Electrons · Physics 2015-06-05 S. E. Korshunov
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