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We have considered the $S=1/2$ antiferromagnetic Heisenberg model in two dimensions, with an additional Ising \nnn interaction. Antiferromagnetic \nnn interactions will lead to frustration, and the system responds with flipping the spins…

Strongly Correlated Electrons · Physics 2015-06-25 J. Hove , A. Sudbø

We present a systematic study of the anisotropic spin-1/2 Heisenberg model in staggered magnetic fields in two dimensions (2D). To mimic real materials, we consider a system of coupled, antiferromagnetic chains, whose interchain interaction…

Statistical Mechanics · Physics 2011-10-17 Bin Xi , Shijie Hu , Jize Zhao , Gang Su , B. Normand , Xiaoqun Wang

Magnetization plateaus in quantum spin systems emerges in two-dimensional frustrated systems such as kagome lattice. The spin-1/2 antiferromagnetic Heisenberg model on square-kagome lattice is also appropriate for the study of magnetization…

Strongly Correlated Electrons · Physics 2018-03-16 Katsuhiro Morita , Takami Tohyama

We study a model of spins 1/2 on a square lattice, generalizing the quantum compass model via the addition of perturbing Heisenberg interactions between nearest neighbors, and investigate its phase diagram and magnetic excitations. This…

Strongly Correlated Electrons · Physics 2015-06-05 F. Trousselet , A. M. Oles , P. Horsch

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

Ground-state behaviour of the frustrated quantum spin-1/2 two-leg ladder with the Heisenberg intra-rung and Ising inter-rung interactions is examined in detail. The investigated model is transformed to the quantum Ising chain with composite…

Statistical Mechanics · Physics 2012-07-19 Taras Verkholyak , Jozef Strecka

We study the spin-1/2 Heisenberg antiferromagnet on a bilayer honeycomb lattice including interlayer frustration. Using a set of complementary approaches, namely Schwinger bosons, dimer series expansion, bond operators, and exact…

Strongly Correlated Electrons · Physics 2016-07-12 Hao Zhang , Carlos A. Lamas , Marcelo Arlego , Wolfram Brenig

Recent numerical results [Gonzalez $\textit{et al.}$, Phys. Rev. Lett. $\textbf{122}$, 017201 (2019); Shimada $\textit{et al.}$, J. Phys. Conf. Ser. $\textbf{969}$, 012126 (2018)] point to the existence of a partial-disorder ground state…

Strongly Correlated Electrons · Physics 2019-05-02 Urban F. P. Seifert , Matthias Vojta

We explore the ground states and quantum phase transitions of two-dimensional, spin S=1/2, antiferromagnets by generalizing lattice models and duality transforms introduced by Sachdev and Jalabert (Mod. Phys. Lett. B 4, 1043 (1990),…

Strongly Correlated Electrons · Physics 2007-05-23 Subir Sachdev , Kwon Park

Ground-state properties of the spin-1/2 and spin-1 Ising-Heisenberg model on doubly decorated planar lattices, are investigated in detail. On the basis of the mapping transformation method, we prove an existence of unusual quantum phases…

Statistical Mechanics · Physics 2007-09-12 Jozef Strecka , Michal Jascur

We use the coupled cluster method to high orders of approximation in order to calculate the ground-state phase diagram of the XXZ spin-$s$ kagome antiferromagnet with easy-plane anisotropy, i.e. the anisotropy parameter $\Delta$ varies…

Strongly Correlated Electrons · Physics 2015-03-10 O. Götze , J. Richter

We study classical and quantum Heisenberg antiferromagnets with exchange anisotropy of XXZ-type and crystal field single-ion terms of quadratic and cubic form in a field. The magnets display a variety of phases, including the spin-flop (or,…

Statistical Mechanics · Physics 2011-01-12 W. Selke , G. Bannasch , M. Holtschneider , I. P. McCulloch , D. Peters , S. Wessel

We consider the spin-1/2 antiferromagnetic Heisenberg model on a bilayer honeycomb lattice including interlayer frustration in the presence of an external magnetic field. In the vicinity of the saturation field, we map the low-energy states…

Strongly Correlated Electrons · Physics 2017-03-22 Taras Krokhmalskii , Vasyl Baliha , Oleg Derzhko , Jörg Schulenburg , Johannes Richter

Optimum ground states are constructed in two dimensions by using so called vertex state models. These models are graphical generalizations of the well-known matrix product ground states for spin chains. On the hexagonal lattice we obtain a…

Strongly Correlated Electrons · Physics 2009-10-30 H. Niggemann , A. Klümper , J. Zittartz

The ground-state properties of the spin-1/2 antiferromagnetic Heisenberg model with spatially anisotropic couplings on a square lattice are investigated by a spin-rotation-invariant Green's-function approach and by Lanczos diagonalizations…

Strongly Correlated Electrons · Physics 2007-05-23 D. Ihle , C. Schindelin , A. Weisse , H. Fehske

In this paper, we investigate the ground-state phase diagram of the $S=1/2$ Heisenberg-$\Gamma$ model on a honeycomb lattice by dimer series expansion and exact diagonalization. We focus on the effects of the anisotropy of the interactions;…

Strongly Correlated Electrons · Physics 2021-06-23 Takafumi Suzuki , Takuto Yamada , Sei-ichiro Suga

We present a detailed study of the ground state phase diagram of the classical frustrated Heisenberg model on the face-centered-cubic lattice. By considering exchange interactions up till third nearest neighbors, we find commensurate,…

Strongly Correlated Electrons · Physics 2020-11-26 Péter Balla , Yasir Iqbal , Karlo Penc

We study the zero-temperature phase diagram of the $J_{1}^{XXZ}$--$J_{2}^{XXZ}$ Heisenberg model for spin-1 particles on an infinite square lattice interacting via nearest-neighbour ($J_1 \equiv 1$) and next-nearest-neighbour ($J_2 > 0$)…

Strongly Correlated Electrons · Physics 2010-05-07 R F Bishop , P H Y Li , R Darradi , J Richter , C E Campbell

Using infinite projected entangled pair states, we study the ground state phase diagram of the spin-1 bilinear-biquadratic Heisenberg model on the square lattice directly in the thermodynamic limit. We find an unexpected partially nematic…

Strongly Correlated Electrons · Physics 2017-11-01 Ido Niesen , Philippe Corboz

A large part of the interest in magnets with frustrated antiferromagnetic interactions comes from the many new phases found in applied magnetic field. In this Article, we explore some of the new phases which arise in a model with frustrated…

Strongly Correlated Electrons · Physics 2016-02-29 Luis Seabra , Philippe Sindzingre , Tsutomu Momoi , Nic Shannon
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