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We study the spin-half Heisenberg models on an anisotropic two-dimensional lattice which interpolates between the square-lattice at one end, a set of decoupled spin-chains on the other end, and the triangular-lattice Heisenberg model in…

Strongly Correlated Electrons · Physics 2009-10-31 Zheng Weihong , Ross H. McKenzie , Rajiv R. P Singh

We determine the quantum phase diagram of the antiferromagnetic spin-1/2 XXZ model on the triangular lattice as a function of magnetic field and anisotropic coupling $J_z$. Using the density matrix renormalization group (DMRG) algorithm in…

Strongly Correlated Electrons · Physics 2015-03-05 Daniel Sellmann , Xue-Feng Zhang , Sebastian Eggert

We perform a systematic investigation on the ground state of an asymmetric two-leg spin ladder (where exchange couplings of the legs are unequal) with ferromagnetic (FM) nearest-neighbor interaction and diagonal anti-ferromagnetic…

Strongly Correlated Electrons · Physics 2017-06-12 Lihua Pan , Depeng Zhang , Hsiang-Hsuan Hung , Yong-Jun Liu

Frustration, or the competition between interacting components of a network, is often responsible for the complexity of many body systems, from social and neural networks to protein folding and magnetism. In quantum magnetic systems,…

The antiferromagnetic Ising model on a triangular lattice (AFIT) exemplifies the most classical frustration system, arising from its triangular geometry that prevents all interactions from being simultaneously satisfied. Understanding…

Mesoscale and Nanoscale Physics · Physics 2025-01-20 Ke Wang , Xing-Jian Liu , Li-Ming Tu , Jia-Jie Zhang , Vladimir N. Gladilin , Jun-Yi Ge

We investigate the phases and phase-transitions in one-dimensional alternating mixed-spin (1/2-1) chain in the presence of both frustration and anisotropy. Frustration is introduced via next-nearest-neighbor interactions, while single-ion…

Strongly Correlated Electrons · Physics 2025-10-31 Soumya Satpathi , Suparna Sarkar , Swapan K. Pati

We theoretically propose a new stabilization mechanism of a skyrmion crystal (SkX) in a bilayer triangular lattice system consisting of the ferromagnetic and the antiferromagnetic layers. By performing variational calculations and Monte…

Strongly Correlated Electrons · Physics 2022-09-14 Kazuki Okigami , Ryota Yambe , Satoru Hayami

In this paper we consider the simplified form that a recently introduced general operator description of the Hubbard model on the square lattice with $N_a^2\gg 1$ sites, effective transfer integral $t$, and onsite repulsion $U$ has in a…

Strongly Correlated Electrons · Physics 2010-06-14 J. P. Carmelo

The three-dimensional (3D) magnet KBaFe$_2$(PO$_4$)$_3$ hosts a double-trillium lattice of Fe$^{3+}$ (spin, $S=5/2$) ions offering a prototypical platform to study the frustration induced effects in 3D. Through magnetization, specific heat,…

In quantum many-body systems with local interactions, the effects of boundary conditions are considered to be negligible, at least for sufficiently large systems. Here we show an example of the opposite. We consider a spin chain with two…

Statistical Mechanics · Physics 2020-12-03 Vanja Marić , Salvatore Marco Giampaolo , Fabio Franchini

Magnetoelectric and magnetoelastic phenomena correlated with a phase transition into noncollinear magnetic phase have been investigated for single crystals of CuFeO2 with a frustrated triangular lattice. CuFeO2 exhibits several…

Strongly Correlated Electrons · Physics 2009-11-11 T. Kimura , J. C. Lashley , A. P. Ramirez

We study a quantum spin system on a honeycomb lattice, when it includes frustration and distortion in antiferromagnetic (AF) exchange interactions. We transform the spin system onto a nonlinear sigma model (NLSM) in a new way preserving the…

Strongly Correlated Electrons · Physics 2009-11-11 Ken'ichi Takano

We examine instabilities of the plateau phases in the spin-1/2 kagome-lattice antiferromagnet in an applied field by means of degenerate perturbation theory, and find some emergent supersolid phases below the $m=5/9$ plateau. The wave…

Strongly Correlated Electrons · Physics 2018-07-23 Xavier Plat , Tsutomu Momoi , Chisa Hotta

Using a specially designed Monte Carlo algorithm with directed loops, we investigate the triangular lattice Ising antiferromagnet with coupling beyond nearest neighbour. We show that the first-order transition from the stripe state to the…

Strongly Correlated Electrons · Physics 2016-05-11 Andrew Smerald , Sergey Korshunov , Frederic Mila

Quantum simulators based on cold atomic gases can provide an ideal platform to study the microscopic mechanisms behind intriguing properties of solid materials and further explore novel exotic phenomena inaccessible by chemical synthesis.…

Traditional frustration arises from the conflict between the spin alignments due to the geometry or the nature of the interactions. Here, we demonstrate a novel form of frustration, dubbed ``emergent frustration'', which is induced by the…

Strongly Correlated Electrons · Physics 2025-04-21 Zehui Deng , Lu Liu , Wenan Guo , Hai-Qing Lin

Recent studies on the frustrated quantum spin chains with easy-plane anisotropy are reviewed. We are particularly interested in novel "chiral" phases characterized by the spontaneous breaking of the parity symmetry. The ground-state phase…

Statistical Mechanics · Physics 2009-11-07 T. Hikihara , M. Kaburagi , H. Kawamura

We show strong numerical evidence in favor of an unexpected virtually gapless spectrum, with edge states localized at the boundaries, in frustrated spin-1/2 antiferromagnetic ladders with an odd number of legs. These features can be…

Strongly Correlated Electrons · Physics 2009-11-13 Federico Becca , Luca Capriotti , Alberto Parola , Sandro Sorella

We present an example where Spontaneous Symmetry Breaking may effect not only the behavior of the entanglement at Quantum Phase Transitions, but also the origin of the non-analyticity. In particular, in the XXZ model, we study the non…

Quantum Physics · Physics 2014-08-26 L. Justino , Thiago R. de Oliveira

Plateaus can be observed in the zero-temperature magnetization curve of quantum spin systems at rational values of the magnetization. In one dimension, the appearance of a plateau is controlled by a quantization condition for the…

Strongly Correlated Electrons · Physics 2007-05-23 A. Honecker , J. Schulenburg , J. Richter