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The results of finite-size scaling analysis of histogram Monte-Carlo simulations on the stacked triangular XY antiferromagnet with anisotropic near-neighbor exchange interactions are presented. With ferromagnetic interplane coupling ten…

Condensed Matter · Physics 2009-10-28 M. L. Plumer , A. Mailhot

We discuss the critical behavior of several three-dimensional magnetic systems, such as pure and randomly dilute (anti)ferromagnets and stacked triangular antiferromagnets. We also discuss the nature of the multicritical points that arise…

Statistical Mechanics · Physics 2007-05-23 Pasquale Calabrese , Andrea Pelissetto , Ettore Vicari

We propose a novel two-dimensional (2D)frustrated quantum spin-1/2 anisotropic Heisenberg model with alternating ferromagnetic and antiferromagnetic magnetic chains along one direction and antiferromagnetic interactions along the other. The…

Strongly Correlated Electrons · Physics 2021-01-20 Kingshuk Majumdar , Subhendra D. Mahanti

We report a comprehensive microscopic study of the frustrated quantum magnet PHCC, (C$_4$H$_{12}$N$_2$)Cu$_2$Cl$_6$, using density-functional band-structure calculations combined with numerical quantum many-body simulations of the…

Strongly Correlated Electrons · Physics 2025-12-22 Alexander A. Tsirlin , Oleg Janson , Ioannis Rousochatzakis

For decades, frustrated quantum magnets have been a seed for scientific progress and innovation in condensed matter. As much as the numerical tools for low-dimensional quantum magnetism have thrived and improved in recent years due to…

Strongly Correlated Electrons · Physics 2024-06-14 Tobias Müller , Dominik Kiese , Nils Niggemann , Björn Sbierski , Johannes Reuther , Simon Trebst , Ronny Thomale , Yasir Iqbal

We revisit the critical behavior of classical frustrated systems using the nonperturbative renormalization group (NPRG) equation. Our study is performed within the local potential approximation of this equation to which is added the flow of…

Statistical Mechanics · Physics 2025-01-09 Shunsuke Yabunaka , Bertrand Delamotte

We study, at T=0, the anomalies in the magnetization curve of the S=1 two-leg ladder with frustrated interactions. We focus mainly on the existence of the $M=\Ms/2$ plateau, where $\Ms$ is the saturation magnetization. We use analytical…

Strongly Correlated Electrons · Physics 2015-06-24 Tôru Sakai , Kiyomi Okamoto , Kouichi Okunishi , Masahiro Sato

We investigate the interplay between frustration and zero-point quantum fluctuations in the ground state of the triangular and $J_1{-}J_2$ Heisenberg antiferromagnets, using finite-size spin-wave theory, exact diagonalization, and quantum…

Strongly Correlated Electrons · Physics 2009-11-07 Luca Capriotti

We study the T = 0 magnetization of frustrated two-leg spin ladders with arbitrary value of the spin S. In the strong rung limit, we use degenerate perturbation theory to prove that frustration leads to magnetization plateaux at fractional…

Strongly Correlated Electrons · Physics 2010-02-01 F. Michaud , T. Coletta , S. R. Manmana , J. -D. Picon , F. Mila

The Nishimori point of the random bond Ising model is a prototype of renormalization group fixed points with strong disorder. We show that the exact correlation length and crossover critical exponents at this point can be identified in two…

Statistical Mechanics · Physics 2025-04-18 Gesualdo Delfino

We study the spin-1 honeycomb lattice magnets with frustrated exchange interactions. The proposed microscopic spin model contains first and second neighbor Heisenberg interactions as well as the single-ion anisotropy. We establish a rich…

Strongly Correlated Electrons · Physics 2020-08-26 Jian Qiao Liu , Fei Ye Li , Gang Chen , Ziqiang Wang

To examine the properties of the frustrated XY model at an incommensurate field we have examined a sequence of magnetic filling factors f which approach the irrational value of one minus the golden mean. At all f studied, the system…

Statistical Mechanics · Physics 2007-05-23 Colin Denniston , Chao Tang

The large distance behaviors of the random field and random anisotropy O(N) models are studied with the functional renormalization group in 4-\epsilon dimensions. The random anisotropy Heisenberg (N=3) model is found to have a phase with…

Disordered Systems and Neural Networks · Physics 2009-10-31 D. E. Feldman

The fermionic Hubbard model, when combined with the ingredient of frustration, associated with the breaking of particle-hole symmetry, harbors a rich phase diagram. Aspects of theoretical findings associated with the nature of magnetism and…

Strongly Correlated Electrons · Physics 2025-10-23 Sogoud Sherif , Prakash Sharma , Aman Kumar , Hitesh J. Changlani

We formulate a pseudofermion functional renormalization group (PFFRG) scheme to address frustrated quantum magnetism in three dimensions. In a scenario where many numerical approaches fail due to sign problem or small system size,…

Strongly Correlated Electrons · Physics 2016-12-08 Yasir Iqbal , Ronny Thomale , Francesco Parisen Toldin , Stephan Rachel , Johannes Reuther

We investigate the use of perturbation theory in finite sized frustrated spin systems by calculating the effect of quantum fluctuations on coherent states derived from the classical ground state. We first calculate the ground and first…

Strongly Correlated Electrons · Physics 2009-10-31 N. P. Konstantinidis , D. Coffey

Monte Carlo simulations of the short-time dynamic behavior are reported for three-dimensional Heisenberg model with long-range correlated disorder at criticality, in the case corresponding to linear defects. The static and dynamic critical…

Disordered Systems and Neural Networks · Physics 2012-10-05 Pavel V. Prudnikov , Maria A. Medvedeva

Understanding quantum magnetism in two-dimensional systems represents a lively branch in modern condensed-matter physics. In the presence of competing super-exchange couplings, magnetic order is frustrated and can be suppressed down to zero…

Strongly Correlated Electrons · Physics 2025-04-11 Luciano Loris Viteritti , Riccardo Rende , Alberto Parola , Sebastian Goldt , Federico Becca

We analyze the thermodynamic properties of the spin-S two-dimensional quantum Heisenberg antiferromagnet on a square lattice with nearest and next-nearest neighbor couplings in the Neel phase (J_2/J_1<0.4) employing the quantum hierarchical…

Strongly Correlated Electrons · Physics 2009-11-11 Leonardo Spanu , Alberto Parola

We study critical behaviour of a magnet with cubic anisotropy and quenched scalar disorder which is taken into account by replica method. We derive to first order in $\epsilon$ approximation the renormalization group equations taking into…

Statistical Mechanics · Physics 2017-02-22 E. Kogan , M. Kaveh
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