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The spin-1/2 Ising-Heisenberg model on martini and martini-diced lattice is exactly solved using a star-triangle transformation, which affords an exact mapping correspondence to an effective spin-1/2 Ising model on a triangular lattice. The…

Statistical Mechanics · Physics 2022-03-23 Hamid Arian Zad , Jozef Strecka

The geometric frustration in a class of the mixed spin-1/2 and spin-S Ising-Heisenberg diamond chains is investigated by combining three exact analytical techniques: Kambe projection method, decoration-iteration transformation and…

Statistical Mechanics · Physics 2009-11-03 Lucia Canova , Jozef Strecka , Tomas Lucivjansky

Muon spin relaxation on Nd$_2$Ti$_2$O$_7$ (NTO) and NdLaTi$_2$O$_7$ (NLTO) compounds are presented. The time spectra for both compounds are as expected for the paramagnetic state at high temperatures, but deviate from the exponential…

Strongly Correlated Electrons · Physics 2014-10-21 Hanjie Guo , Hui Xing , Jun Tong , Qian Tao , Isao Watanabe , Zhu-an Xu

Although magnetic frustration in metals provides a promising avenue for novel quantum phenomena, their microscopic interpretation is often challenging. Here we use the face-centered cubic intermetallic HoInCu$_4$ as model material to show…

Strongly Correlated Electrons · Physics 2025-07-28 X. Boraley , O. Stockert , J. Lass , R. Sibille , Ø. S. Fjellvåg , S. H. Moody , A. M. Läuchli , V. Fritsch , D. G. Mazzone

We present a comprehensive investigation of the intricate spin dynamics in the non-centrosymmetric compound Sm$_7$Pd$_3$, revealing the coexistence of spin glass, domain glass, and ferromagnetic (FM) behaviors. Magnetic field-dependent…

Materials Science · Physics 2025-05-15 Ajay Kumar , Anis Biswas , Yaroslav Mudryk

We conjecture the existence of a relationship between frustration and the transition point at zero temperature of Ising spin glasses. The relation reveals that, in several Ising spin glass models, the concentration of ferromagnetic bonds is…

Disordered Systems and Neural Networks · Physics 2013-08-05 Ryoji Miyazaki

In frustrated magnetic systems, geometric constraints or the competition amongst interactions introduce extremely high degeneracy and prevent the system from readily selecting a low-temperature ground state. The most frustrated known spin…

Strongly Correlated Electrons · Physics 2016-11-23 Darren C. Peets , Hasung Sim , Maxim Avdeev , Je-Geun Park

Geometric magnetic frustration (GMF) has attracted substantial interest due to the exotic physics and rich phase diagrams revealed by the cancellation of normally-dominant magnetic interactions, giving impetus for the search for novel…

If magnetic frustration is most commonly known for undermining long-range order, as famously illustrated by spin liquids, the ability of matter to develop new collective mechanisms in order to fight frustration is no less fascinating,…

Strongly Correlated Electrons · Physics 2015-12-31 L. D. C. Jaubert , Owen Benton , Jeffrey G. Rau , J. Oitmaa , R. R. P. Singh , Nic Shannon , Michel J. P. Gingras

From a microscopic model for the pyrochlore antiferromagnet Tb2Sn2O7, including the crystal field Hamiltonian and interactions between the angular momenta, we compute an effective pseudospin-1/2 Hamiltonian Heff$ that incorporates…

Statistical Mechanics · Physics 2010-11-30 Paul A. McClarty , Pawel Stasiak , Michel J. P. Gingras

In this work it is studied the Hopfield fermionic spin glass model which allows interpolating from trivial randomness to a highly frustrated regime. Therefore, it is possible to investigate whether or not frustration is an essential…

Disordered Systems and Neural Networks · Physics 2015-05-14 S. G. Magalhaes , C. V. Morais , F. M. Zimmer

Elastic and inelastic neutron scattering studies have been carried out on the pyrochlore magnet Ho2Ti2O7. Measurements in zero applied magnetic field show that the disordered spin ice ground state of Ho2Ti2O7 is characterized by a pattern…

Strongly Correlated Electrons · Physics 2016-08-05 J. P. Clancy , J. P. C. Ruff , S. R. Dunsiger , Y. Zhao , H. A. Dabkowska , J. S. Gardner , Y. Qiu , J. R. D. Copley , T. Jenkins , B. D. Gaulin

The crystal and magnetic structures of stoichiometric ZnCr2Se4 have been investigated using synchrotron X-ray and neutron powder diffraction, muon spin relaxation (muSR) and inelastic neutron scattering. Synchrotron X-ray diffraction shows…

Strongly Correlated Electrons · Physics 2017-04-12 P. Zajdel , W-Y. Li , W. Van Beek , A. Lappas , A. Ziolkowska , S. Jaskiewicz , C. Stock , M. A. Green

We discuss new high-field magnetization data recently obtained by Tsirlin et al. for layered vanadium phosphates in the framework of the square-lattice model. Our predictions for the saturation fields compare exceptionally well to the…

Strongly Correlated Electrons · Physics 2010-05-07 Burkhard Schmidt , Mohammad Siahatgar , Peter Thalmeier , Alexander A. Tsirlin

Motivated by puzzling characteristics of spin-glass transitions widely observed in pyrochlore-based frustrated materials, we investigate effects of coupling to local lattice distortions in a bond-disordered antiferromagnet on the pyrochlore…

Strongly Correlated Electrons · Physics 2011-07-22 Hiroshi Shinaoka , Yusuke Tomita , Yukitoshi Motome

Some strongly frustrated magnets such as the "spin-ice" compounds fail to produce any magnetic order at finite temperatures even in the presence of magnetic field. Still they have very unusual low-temperature thermodynamic properties…

Materials Science · Physics 2010-05-18 P. N. Timonin

We combine single-crystal neutron diffraction studies and Monte Carlo simulations to determine the spin structures and finite-temperature phase diagram of the spin-5/2 triangular-lattice antiferromagnet Na$_2$BaMn(PO$_4$)$_2$ in magnetic…

Strongly Correlated Electrons · Physics 2025-11-25 N. Biniskos , F. J. dos Santos , M. Stekiel , K. Schmalzl , E. Ressouche , D. Sviták , A. Labh , M. Vališka , N. Marzari , P. Čermák

Collective behaviour of electrons, frustration induced quantum fluctuations and entanglement in quantum materials underlie some of the emergent quantum phenomena with exotic quasi-particle excitations that are highly relevant for…

In spin-glass systems, frustration can be adjusted continuously and considerably, without changing the antiferromagnetic bond probability p, by using locally correlated quenched randomness, as we demonstrate here on hypercubic lattices and…

Disordered Systems and Neural Networks · Physics 2014-06-03 Efe Ilker , A. Nihat Berker

Frustration refers to competition between different interactions that cannot be simultaneously satisfied, a familiar feature in many magnetic solids. Strong frustration results in highly degenerate ground states, and a large suppression of…

Strongly Correlated Electrons · Physics 2007-07-03 Doron Bergman , Jason Alicea , Emanuel Gull , Simon Trebst , Leon Balents
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