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Ground-state and thermodynamic properties of the one-dimensional Heisenberg antiferromagnet in which two S=1/2 and two S=1 spins are arranged alternatively are studied by a quantum Monte Carlo method and by analytical estimates. It is found…

Strongly Correlated Electrons · Physics 2007-05-23 T. Tonegawa , T. Hikihara , T. Nishino , M. Kaburagi , S. Miyashita , H. -J. Mikeska

These are lectures presented at the summer course on ``Low Dimensional Quantum Field Theories for Condensed Matter Physicists'', 24 Aug. to 4 Sep. 1992, Trieste, Italy. I review recent work, performed in collaboration primarily with N. Read…

Condensed Matter · Physics 2025-09-08 Subir Sachdev

We study the influence of on-site disorder on the magnetic properties of the ground state of the infinite $U$ Hubbard model. We find that for one dimensional systems disorder has no influence, while for two dimensional systems disorder…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 E. Eisenberg , R. Berkovits

We describe a geometric phenomenon in which a traveling wave made of degenerate Goldstone modes leaves behind a transformed ground state. In a triangular Heisenberg antiferromagnet, a pulse of circularly polarized spin waves rotates the…

Strongly Correlated Electrons · Physics 2026-01-14 Grigor Adamyan , Bastian Pradenas , Boris Ivanov , Oleg Tchernyshyov

The confluence between high-energy physics and condensed matter has produced groundbreaking results via unexpected connections between the two traditionally disparate areas. In this work, we elucidate additional connectivity between…

Mesoscale and Nanoscale Physics · Physics 2023-08-02 Joseph Sklenar , Soho Shim , Hilal Saglam , Junseok Oh , M. G. Vergniory , Axel Hoffmann , Barry Bradlyn , Nadya Mason , Matthew J. Gilbert

We investigate low-energy properties of two-dimensional quantum spin systems with the ladder and plaquette structures, which are described by a generalized antiferromagnetic Heisenberg model with both of the bond and spin alternations. By…

Strongly Correlated Electrons · Physics 2009-10-31 A. Koga , S. Kumada , N. Kawakami

We work out the magnetization and susceptibility of Heisenberg- and XXZ-model antiferromagnet spin-1/2 systems in $D$ dimensions under a rigorous constraint of single particle site occupancy. Quantum fluctuations are taken into account up…

Strongly Correlated Electrons · Physics 2016-08-31 Raoul Dillenschneider , Jean Richert

We discuss spin-$\frac12$ Heisenberg antiferromagnet on simple square lattice in magnetic field $H$ using recently proposed bond-operator technique. It is well known that magnetically ordered phases of quantum magnets are well described at…

Strongly Correlated Electrons · Physics 2020-07-15 A. V. Syromyatnikov

Antiferromagnets (AFMs) exhibit intrinsic magnetization when the order parameter spatially varies. This intrinsic spin is present even at equilibrium and can be interpreted as a twisting of the homogeneous AFM into a state with a finite…

Mesoscale and Nanoscale Physics · Physics 2016-03-18 Erlend G. Tveten , Tristan Müller , Jacob Linder , Arne Brataas

Counterintuitive order-disorder phenomena emerging in antiferromagnetically coupled spin systems have been reported in various studies. Here we perform a systematic effective field theory analysis of two-dimensional bipartite quantum…

Strongly Correlated Electrons · Physics 2021-06-21 Christoph P. Hofmann

We study the effect of quantum fluctuations on the half-polarized magnetization plateau of a pyrochlore antiferromagnet. We argue that an expansion around the easy axis limit is appropriate for discussing the ground state selection amongst…

Strongly Correlated Electrons · Physics 2007-05-23 Doron L. Bergman , Ryuichi Shindou , Gregory A. Fiete , Leon Balents

The Heisenberg antiferromagnet on the kagome lattice is an archetypal instance of how large ground state degeneracies arise, and how they may get resolved by thermal and quantum fluctuations. Augmenting the Heisenberg model by chiral spin…

Strongly Correlated Electrons · Physics 2022-10-11 Jackson Pitts , Finn Lasse Buessen , Roderich Moessner , Simon Trebst , Kirill Shtengel

The J1-J2 square lattice Heisenberg model with spin S=1/2 has three phases with long-range magnetic order and two unconventionally ordered phases depending on the ratio of exchange constants. It describes a number of recently found layered…

Strongly Correlated Electrons · Physics 2009-11-13 P. Thalmeier , M. E. Zhitomirsky , B. Schmidt , N. Shannon

The two-dimensional $S=1/2$ asymmetric Heisenberg Mattis model is investigated with the exact diagonalization of finite clusters. The N\'eel order parameter and the spin glass order parameter can be smoothly extrapolated to the…

Condensed Matter · Physics 2016-08-31 Yoshihiko Nonomura

We revisit the effective theory for fluctuating spin stripes coupled to a Fermi surface, and consider the parameter regime where a spin nematic phase intervenes between the spin density wave state and the symmetric state. It is shown that…

Strongly Correlated Electrons · Physics 2026-05-15 Xu Zhang , Nick Bultinck

We have performed a numerical investigation of the ground state properties of the frustrated quantum Heisenberg antiferromagnet on the square lattice (``$J_1-J_2$ model''), using exact diagonalization of finite clusters with 16, 20, 32, and…

Condensed Matter · Physics 2009-10-22 H. J. Schulz , T. A. L. Ziman , D. Poilblanc

We discuss the stability of the antiferromagnetic ground state in two spatial dimensions. We start with a general analysis, based on Gribov's current-conservation techniques, of the bosonic modes in systems with magnetic order. We argue…

Superconductivity · Physics 2012-01-19 K. Odagiri , T. Yanagisawa

We present a numerical study of the spin-1/2 bilayer Heisenberg antiferromagnet with random interlayer dimer dilution. From the temperature dependence of the uniform susceptibility and a scaling analysis of the spin correlation length we…

Disordered Systems and Neural Networks · Physics 2009-11-07 O. P. Vajk , M. Greven

It was recently discovered that, depending on their symmetries, collinear antiferromagnets may break spin degeneracy in momentum space, even in absence of spin-orbit coupling. Such systems, dubbed altermagnets, have electronic bands with a…

Strongly Correlated Electrons · Physics 2025-05-16 Kostiantyn V. Yershov , Volodymyr P. Kravchuk , Maria Daghofer , Jeroen van den Brink

In this paper we study the frustrated J1-J2 quantum Heisenberg model on the square lattice for J2 > 2J1, in a magnetic field. In this regime the classical system is known to have a degenerate manifold of lowest energy configurations, where…

Strongly Correlated Electrons · Physics 2015-07-09 C. A. Lamas , D. C. Cabra , P. Pujol , G. L. Rossini