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Frustration in the presence of competing interactions is ubiquitous in the physical sciences and is a source of degeneracy and disorder, giving rise to new and interesting physical phenomena. Perhaps nowhere does it occur more simply than…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 Cristiano Nisoli , Roderich Moessner , Peter Schiffer

By combining neutron scattering and magnetization measurements down to 80 mK, we determine the $(H,T)$ phase diagram of the Nd$_2$(Zr$_{1-x}$Ti$_x$)$_2$O$_7$ pyrochlore magnet compounds. In those samples, Zr is partially substituted by Ti,…

Strongly Correlated Electrons · Physics 2021-07-07 M. Léger , E. Lhotel , E. Ressouche , K. Beauvois , F. Damay , C. Paulsen , A. Al-Mawla , E. Suard , M. Ciomaga Hatnean , G. Balakrishnan , S. Petit

Partially disordered antiferro (PDA) magnetism (in which one of the three magnetic ions in a triangular network remains magnetically disordered), has been known commonly among geometrically frustrated insulating materials. The one-third…

Strongly Correlated Electrons · Physics 2023-09-18 Kartik K Iyer , Kalobaran Maiti , Sudhindra Rayaprol , Ram Kumar , S. Mattepanavar , S. Dodamani , E. V. Sampathkumaran

Using the Density Matrix Renormalization Group method, we determined the phase diagram of a frustrated antiferromagnetic spin-$\frac 1 2$ ladder at zero temperature. Two spin-gapped phases, the Haldane phase and the singlet phase, are…

Strongly Correlated Electrons · Physics 2007-05-23 Xiaoqun Wang

Frustration, or the competition between interacting components of a network, is often responsible for the complexity of many body systems, from social and neural networks to protein folding and magnetism. In quantum magnetic systems,…

Thermodynamics studies of a prototypical quasi-two-dimensional frustrated magnet Ba$_2$Sn$_2$ZnCr$_{7p}$Ga$_{10-7p}$O$_{22}$ where the magnetic Cr$^{3+}$ ions are arranged in a triangular network of bipyramids show that the magnetic…

The phase diagram of the XXZ spin-1/2 magnet, equivalent to hard-core bosons, under a staggered magnetic field and on the Cairo pentagonal lattice is computed at zero and finite temperature by using a cluster mean field theory and a…

Strongly Correlated Electrons · Physics 2011-11-29 Arnaud Ralko

Magnetism in SmPd2Al3 was investigated on a single crystal by magnetometry and neutron diffraction. SmPd2Al3 represents a distinctive example of the Sm magnetism exhibiting complex magnetic behavior at low temperatures with four consecutive…

The Faraday rotation and magneto-optical absorption spectral measurements were conducted to reveal the full-magnetization process and map out a magnetic phase diagram of a typical geometrical frustrated magnet, ZnCr2O4, by using the…

Strongly Correlated Electrons · Physics 2013-05-29 Atsuhiko Miyata , Hiroaki Ueda , Yutaka Ueda , Hironobu Sawabe , Shojiro Takeyama

Frustration in magnetic systems is fertile ground for complex behaviour, including unconventional ground states with emergent symmetries, topological properties, and exotic excitations. A canonical example is the emergence of…

Strongly Correlated Electrons · Physics 2022-03-02 M. J. Pearce , K. Götze , A. Szabó , T. S. Sikkenk , M. R. Lees , A. T. Boothroyd , D. Prabhakaran , C. Castelnovo , P. A. Goddard

Geometrically frustrated magnetism has attracted tremendous attention while chemical doping has been utilized as an important tool to probe frustrated magnetism in various systems. Here we perform a systematic study by doping non-magnetic…

Strongly Correlated Electrons · Physics 2025-12-15 Gina Angelo , Qiang Zhang , Dylan Correll , Xin Gui

Field-driven phase transitions generally arise from competition between Zeeman energy and exchange or crystal-field anisotropy. Here we present the phase diagram of a frustrated pyrochlore magnet Gd2Ti2O7, where crystal field splitting is…

Statistical Mechanics · Physics 2016-08-31 A. P. Ramirez , B. S. Shastry , A. Hayashi , J. J. Krajewski , D. A. Huse , R. J. Cava

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

We predict and observed novel highly anisotropic magnetic patterns obtained in the model of frustrated planar interacting magnetic moments (the classical $X-Y$ model) on the regular kagome lattice. The frustration is provided by the…

Pattern Formation and Solitons · Physics 2020-10-28 A. Andreanov , M. V. Fistul

A triple perovskite oxide Ba$_{3}$MnTa$_{2}$O$_{9}$ has been synthesized and its magnetic properties have been investigated through dc and ac magnetization, specific heat, electron spin resonance (ESR) measurements, and density functional…

Magnetization processes and phase transitions in a geometrically frustrated triangular lattice Ising antiferromagnet in the presence of an external magnetic field and a random site dilution are studied by the use of an effective-field…

Statistical Mechanics · Physics 2012-12-24 M. Žukovič , M. Borovský , A. Bobák

Metal-insulator transitions in pyrochlore iridates (A2Ir2O7) are believed to occur due to subtle interplay of spin-orbit coupling, geometric frustration, and electron interactions. In particular, the nature of magnetic ordering of iridium…

Strongly Correlated Electrons · Physics 2014-07-29 Eric Kin-Ho Lee , Subhro Bhattacharjee , Yong Baek Kim

The frustration phenomenon in an exactly solvable spin-electron planar model constituted by identical bipyramidal plaquettes is discussed within the Toulouse's and dos Santos and Lyra's frustration concepts. It is shown that the ground…

Statistical Mechanics · Physics 2021-09-30 Lucia Gálisová

The geometrically frustrated magnet Ni3V2O8 undergoes a series of competing magnetic ordering at low temperatures. Most importantly, one of the incommensurate phases has been reported to develop a ferroelectric correlation caused by spin…

Materials Science · Physics 2009-06-26 A. K. Singh , D. Jain , V. Ganesan , A. K. Nigam , S. Patnaik

Frustrated magnets exhibit unusual critical behaviors: they display scaling laws accompanied by nonuniversal critical exponents. This suggests that these systems generically undergo very weak first order phase transitions. Moreover, the…

Statistical Mechanics · Physics 2009-11-10 B. Delamotte , D. Mouhanna , M. Tissier
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