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We apply density functional theory band structure calculations, the coupled-cluster method, and exact diagonalization to investigate the microscopic magnetic model of the spin-1/2 compound Cu2GeO4. The model is quasi-two-dimensional, with…

Strongly Correlated Electrons · Physics 2011-03-24 Alexander A. Tsirlin , Ronald Zinke , Johannes Richter , Helge Rosner

We study the ground-state properties of weakly frustrated Heisenberg ferrimagnetic chains with nearest and next-nearest neighbor antiferromagnetic exchange interactions and two types of alternating sublattice spins S_1 > S_2, using 1/S…

Strongly Correlated Electrons · Physics 2009-10-31 N. B. Ivanov , J. Richter , U. Schollwoeck

The fundamental excitations in an antiferromagnetic chain of spins-1/2 are spinons, de-confined fractional quasiparticles that when combined in pairs, form a triplet excitation continuum. In an Ising-like spin chain the continuum is gapped…

Strongly Correlated Electrons · Physics 2019-07-10 W. J. Gannon , I. A. Zaliznyak , L. S. Wu , A. E. Feiguin , A. M. Tsvelik , F. Demmel , Y. Qiu , J. R. D. Copley , M. S. Kim , M. C. Aronson

In this joint experimental and theoretical work magnetic properties of the Cu$^{2+}$ mineral szenicsite Cu$_3$(MoO$_4$)(OH)$_4$ are investigated. This compound features isolated triple chains in its crystal structure, where the central…

Strongly Correlated Electrons · Physics 2017-02-10 Stefan Lebernegg , Oleg Janson , Ioannis Rousochatzakis , Satoshi Nishimoto , Helge Rosner , Alexander A. Tsirlin

Many low dimensional spin systems with a dimerized or ladder-like antiferromagnetic exchange coupling have a gapped excitation spectrum with magnetic bound states within the spin gap. For spin ladders with an even number of legs the…

Strongly Correlated Electrons · Physics 2009-10-31 P. Lemmens , M. Fischer , M. Grove , P. H. M. v. Loosdrecht , G. Els , E. Sherman , C. Pinettes , G. Güntherodt

After a short introduction on frustrated spin systems, we study in this chapter several two-dimensional frustrated Ising spin systems which can be exactly solved by using vertex models. We show that these systems contain most of the…

Statistical Mechanics · Physics 2020-01-01 H. T. Diep , H. Giacomini

The search of unconventional magnetic and nonmagnetic states is a major topic in the study of frustrated magnetism. Canonical examples of those states include various spin liquids and spin nematics. However, discerning their existence and…

Statistical Mechanics · Physics 2019-02-20 Jonas Greitemann , Ke Liu , Lode Pollet

Magnetic order is usually associated with well-defined magnon excitations. Exotic magnetic fluctuations with fractional, topological or multipolar character, have been proposed for radically different forms of magnetic matter such as…

The study of frustrated spin systems often requires time-consuming numerical simulations. As the simplest approach, the classical Ising model is often used to investigate the thermodynamic behavior of such systems. Exploiting the small…

Statistical Mechanics · Physics 2013-05-30 Bilin Zhuang , Courtney Lannert

It has been argued that the spin-dynamics in cuprate superconductors is governed by the proximity to a zero-temperature critical point. This critical point would be related to a transition from the superconducting phase to an ordered stripe…

Strongly Correlated Electrons · Physics 2007-05-23 J. Tworzydlo , C. N. A. van Duin , J. Zaanen

This work investigates the competition between dipole conservation, which imposes strong dynamical constraints and prevents the propagation of isolated spin excitations, and Ising-type interactions that favor ordering. Specifically, we…

Strongly Correlated Electrons · Physics 2026-05-20 Prabhakar , Giuseppe De Tomasi , Soumya Bera

We study an incommensurate long-range order induced by an external magnetic field in a quasi-one-dimensional bond-alternating spin system, F5PNN, focusing on the role of the frustrating interaction which can be enhanced by a high-pressure…

Strongly Correlated Electrons · Physics 2009-11-11 Nobuya Maeshima , Kouichi Okunishi , Kiyomi Okamoto , Tôru Sakai , Kenji Yonemitsu

Magnetism in single-side hydrogenated (C$_2$H) and fluorinated (C$_2$F) graphene is analyzed in terms of the Heisenberg model with parameters determined from first principles. We predict a frustrated ground state for both systems, which…

Mesoscale and Nanoscale Physics · Physics 2014-06-03 A. N. Rudenko , F. J. Keil , M. I. Katsnelson , A. I. Lichtenstein

For the spin-glass chain in an external field $h$, a non-zero weight at the origin of the bond distribution $\rho (J)$ is known to induce a non-analytical magnetization at zero temperature : for $\rho(J) \sim A | J |^{\mu-1}$ near $J \to…

Disordered Systems and Neural Networks · Physics 2009-11-10 Cecile Monthus , Thomas Garel

We study the frustrated dimer-plaquette quantum spin chain for ferromagnetic dimer bonds. This quantum system undergoes a series of first-order ground-state phase transitions driven by frustration or by a magnetic field. We find that the…

Strongly Correlated Electrons · Physics 2009-11-07 J. Schulenburg , J. Richter

We show that the effective coupling between the spin-1/2 edge states of a spin-1 chain of finite length can be continuously tuned by frustration. For the $J_1-J_2$ model with nearest and next-nearest neighbor antiferromagnetic interactions,…

Strongly Correlated Electrons · Physics 2017-08-30 Natalia Chepiga , Frédéric Mila

Spin-spin correlations are calculated in frustrated hierarchical Ising models that exhibit chaotic renormalization-group behavior. The spin-spin correlations, as a function of distance, behave chaotically. The far correlations, but not the…

Disordered Systems and Neural Networks · Physics 2009-03-15 Neşe Aral , A. Nihat Berker

We investigate the influence of an inter-chain coupling on the spiral ground state correlations of a spin-1/2 Heisenberg model consisting of a two-dimensional array of coupled chains with nearest (J1) and frustrating next-nearest neighbor…

Strongly Correlated Electrons · Physics 2009-08-21 Ronald Zinke , Stefan-Ludwig Drechsler , Johannes Richter

In this review, we outline the important results on the resistivity encountered by an electron in magnetically ordered materials. The mechanism of the collision between the electron and the lattice spins is shown. Experiments on the spin…

Statistical Mechanics · Physics 2023-01-10 Danh-Tai Hoang , Hung T. Diep

The scaling of fluctuations in the distribution of ground-state energies or costs with the system size N for Ising spin glasses is considered using an extensive set of simulations with the Extremal Optimization heuristic across a range of…

Disordered Systems and Neural Networks · Physics 2022-05-20 Stefan Boettcher