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Antiferromagnetic Ising models on frustrated lattices can realize classical spin liquids, with highly degenerate ground states and, possibly, fractionalized excitations and emergent gauge fields. Motivated by the recent interest in…

Strongly Correlated Electrons · Physics 2025-11-05 Fabian Köhler , Johanna Erdmenger , Roderich Moessner , Matthias Vojta

The absence of conventional magnetic order together with anomalous low-temperature magnetic heat capacity is often interpreted as evidence for quantum spin liquid ground states in frustrated magnets. Using a recently developed semiclassical…

Strongly Correlated Electrons · Physics 2026-04-08 Soumyaranjan Dash , Vansh Narang , Sanjeev Kumar

Effect of structural disorder is investigated for an $XY$ pyrochlore antiferromagnet with continuous degeneracy of classical ground states. Two types of disorder, vacancies and weakly fluctuating exchange bonds, lift degeneracy selecting…

Strongly Correlated Electrons · Physics 2014-09-26 V. S. Maryasin , M. E. Zhitomirsky

Magnetic impurities coupled antiferromagnetically to a one-dimensional Heisenberg model are studied by numerical diagonalization of chains of finite clusters. By calculating the binding energy and the correlation function, it is shown that…

Condensed Matter · Physics 2009-10-22 J. Igarashi , T. Tonegawa , M. Kaburagi , P. Fulde

The magnetic hyperfine field and electric-field gradient at isolated lanthanide impurities in an Fe host lattice are calculated from first principles, allowing for the first time a qualitative and quantitative understanding of an…

Strongly Correlated Electrons · Physics 2009-11-11 Doru Torumba , Stefaan Cottenier , Veerle Vanhoof , Michel Rots

We investigate a quantum Heisenberg model with both antiferromagnetic and disordered nearest-neighbor couplings. We use an extended dynamical mean-field approach, which reduces the lattice problem to a self-consistent local impurity problem…

Disordered Systems and Neural Networks · Physics 2009-11-13 S. Burdin , D. R. Grempel , M. Grilli

We present a unified, global perspective on the magnetic properties of strongly disordered electronic systems, with special emphasis on the case where the ground state is metallic. We review the arguments for the instability of the…

Strongly Correlated Electrons · Physics 2009-10-30 Subir Sachdev

We theoretically investigate the spin resolved Friedel oscillation (FO) and quasiparticle interference (QPI) in graphene induced by an Anderson impurity. Once the impurity becomes magnetic, the resulted FO becomes spin dependent, which…

Mesoscale and Nanoscale Physics · Physics 2019-12-05 Shuai Li , Jin-Hua Gao

Effects of local lattice distortions on the spin ordering are investigated for the antiferromagnetic classical Heisenberg model on the pyrochlore lattice. It is found by Monte Carlo simulations that the spin-lattice coupling (SLC)…

Strongly Correlated Electrons · Physics 2016-07-19 Kazushi Aoyama , Hikaru Kawamura

The $A$-site spinel NiRh$_2$O$_4$ is the only known realization of a spin-1 diamond lattice magnet and is predicted to host unconventional magnetic phenomena driven by frustrated nearest and next-nearest neighbor exchange as well as orbital…

Strongly Correlated Electrons · Physics 2022-08-10 B. Zager , J. R. Chamorro , L. Ge , V. Bisogni , J. Pelliciari , J. Li , G. Fabbris , T. M. McQueen , M. Mourigal , K. W. Plumb

Geometric frustration inhibits magnetic systems from ordering, opening a window to unconventional phases of matter. The paradigmatic frustrated lattice in three dimensions to host a spin liquid is the pyrochlore, although there remain few…

Vacancy defects in isotropic noncollinear antiferromagnets produce long-range spin textures. By developing a "magnetic elasticity theory", we demonstrate that a vacancy-induced readjustment in the spin configuration decays algebraically…

Strongly Correlated Electrons · Physics 2025-05-23 M. E. Zhitomirsky , Vijay B. Shenoy , Roderich Moessner

The spin-1/2 square-lattice Heisenberg model is predicted to have a quantum disordered ground state when magnetic frustration is maximized by competing nearest-neighbor $J_1$ and next-nearest-neighbor $J_2$ interactions ($J_2/J_1 \approx…

Strongly Correlated Electrons · Physics 2018-08-22 O. Mustonen , S. Vasala , K. P. Schmidt , E. Sadrollahi , H. C. Walker , I. Terasaki , F. J. Litterst , E. Baggio-Saitovitch , M. Karppinen

When magnetic moments (spins) are regularly arranged in a geometry of a triangular motif, the spins may not satisfy simultaneously their interactions with their neighbors. This phenomenon, called frustration, leads to numerous energetically…

Statistical Mechanics · Physics 2015-06-17 I. Klich , S. -H. Lee , K. Iida

Thermodynamic properties are presented for four magnetic impurity models describing delocalized fermions scattering from a localized orbital at an energy-dependent rate $\Gamma(\epsilon)$ which vanishes precisely at the Fermi level,…

Strongly Correlated Electrons · Physics 2009-10-31 Carlos Gonzalez-Buxton , Kevin Ingersent

The effect of non-magnetic impurities is discussed for both the two-leg Heisenberg ladder system and other spin liquids with excitation gap. It is shown that the random depletion of spins introduces a random Berry phase term to the…

Condensed Matter · Physics 2009-10-28 N. Nagaosa , A. Furusaki , M. Sigrist , H. Fukuyama

We investigate the nature of the ordering among magnetic adatoms, randomly deposited on the surface of topological insulators. Restricting ourselves to dilute impurity and weak coupling (between itinerant fermion and magnetic impurities)…

Mesoscale and Nanoscale Physics · Physics 2016-12-21 Chun-Xiao Liu , Bitan Roy , Jay D. Sau

We have formulated a twist operator argument for the geometrically frustrated quantum spin systems on the kagome and triangular lattices, thereby extending the application of the Lieb-Schultz-Mattis (LSM) and Oshikawa-Yamanaka-Affleck (OYA)…

Strongly Correlated Electrons · Physics 2020-01-28 Santanu Pal , Anirban Mukherjee , Siddhartha Lal

We investigate the behavior of the frustrated $J_1$-$J_2$ Ising model on a square lattice under the influence of random dilution and spatial anisotropies. Spinless impurities generate a random-field type disorder for the spin-density wave…

Disordered Systems and Neural Networks · Physics 2022-01-11 Xuecheng Ye , Rajesh Narayanan , Thomas Vojta

Motivated by puzzling aspects of spin-glass behavior reported in frustrated magnetic materials, we theoretically investigate effects of magnetoelastic coupling in geometrically frustrated classical spin models. In particular, we consider…

Strongly Correlated Electrons · Physics 2014-10-28 Hiroshi Shinaoka , Yusuke Tomita , Yukitoshi Motome