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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

We study the transport properties of frustrated itinerant magnets comprising localized {\it classical} moments, which interact via exchange with the conduction electrons. Strong frustration stabilizes a liquidlike spin state, which extends…

Strongly Correlated Electrons · Physics 2016-11-11 Zhentao Wang , Kipton Barros , Gia-Wei Chern , Dmitrii L. Maslov , Cristian D. Batista

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

The phenomenon of frustration, which gives rise to many fascinating phenomena, is conventionally associated with the topology of non-bipartite lattices, where nearest-neighbor (nn) interactions and global connectivity compete in the…

Strongly Correlated Electrons · Physics 2009-11-11 J. Kunes , W. E. Pickett

Ultrasound velocity measurements of the orbitally-frustrated GeCo$_2$O$_4$ reveal unusual elastic instabilities due to the phonon-spin coupling within the antiferromagnetic phase. Shear moduli exhibit anomalies arising from the coupling to…

Strongly Correlated Electrons · Physics 2011-07-25 Tadataka Watanabe , Shigeo Hara , Shin-Ichi Ikeda , Keisuke Tomiyasu

The research field of magnetic frustration is dominated by triangle-based lattices but exotic phenomena can also be observed in pentagonal networks. A peculiar noncollinear magnetic order is indeed known to be stabilized in Bi2Fe4O9…

Strongly Correlated Electrons · Physics 2020-04-01 K. Beauvois , V. Simonet , S. Petit , J. Robert , F. Bourdarot , M. Gospodinov , A. A. Mukhin , R. Ballou , V. Skumryev , E. Ressouche

The intermetallic compound Nd$_2$Co$_{0.85}$Si$_{2.88}$ having a triangular lattice could be synthesized in single-phase only with defect crystal structure. Investigation through different experimental techniques indicate the presence of…

Frustrated magnetic systems exhibit highly degenerate ground states and strong fluctuations, often leading to new physics. An intriguing example of current interest is the antiferromagnet on a diamond lattice, realized physically in A-site…

Materials Science · Physics 2011-09-21 G. J. MacDougall , D. Gout , J. L. Zarestky , G. Ehlers , A. Podlesnyak , M. A. McGuire , D. Mandrus , S. E. Nagler

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

The emergence of complex electronic behaviour from simple ingredients has resulted in the discovery of numerous states of matter. Many examples are found in systems exhibiting geometric magnetic frustration, which prevents simultaneous…

Materials Science · Physics 2013-03-29 John P. Sheckelton , James R. Neilson , Daniel G. Soltan , Tyrel M. McQueen

We report the results of magnetic, heat-capacity, electrical and magnetoresistance measurements on Ho4RhAl and Er4RhAl, characterized by 3 sites for rare-earths (R). Antiferromagnetic ordering sets in at (T_N =) about 8.8 and 4.0 K…

Strongly Correlated Electrons · Physics 2021-08-18 Ram Kumar , E. V. Sampathkumaran

Geometric frustration is a phenomenon in a lattice system where not all interactions can be satisfied, the simplest example being antiferromagnetically coupled spins on a triangular lattice. Frustrated systems are characterized by their…

Triangular Heisenberg antiferromagnets are prototypes of geometric frustration, even if for nearest-neighbor interactions quantum fluctuations are not usually strong enough to destroy magnetic ordering: stronger frustration is required to…

Strongly Correlated Electrons · Physics 2021-11-04 C. Wellm , W. Roscher , J. Zeisner , A. Alfonsov , R. Zhong , R. J. Cava , A. Savoyant , R. Hayn , J. van den Brink , B. Büchner , O. Janson , V. Kataev

Magnetism in topological materials creates phases exhibiting quantized transport phenomena with applications in spintronics and quantum information. The emergence of such phases relies on strong interaction between localized spins and…

We present an extensive numerical study of a new type of frustrated itinerant magnetism on the pyrochlore lattice. In this theory, the pyrochlore magnet can be viewed as a cross-linking network of Kondo or double-exchange chains. Contrary…

Strongly Correlated Electrons · Physics 2018-12-17 Jing Luo , Gia-Wei Chern

Experimental and theoretical studies are performed on La3Ir3O11, an iridate hosting a +4.33 fractional valence state for Ir ions and a three-dimensional frustrated structure composed of edge-shared Ir2O10 dimers. These features are expected…

Strongly Correlated Electrons · Physics 2019-11-11 J. Yang , J. R. Wang , W. L. Zhen , L. Ma , L. S. Ling , W. Tong , C. J. Zhang , L. Pi , W. K. Zhu

Mixed valence spinels provide a fertile playground for the interplay between charge, spin, and orbital degrees of freedom in strongly correlated electrons on a geometrically frustrated lattice. Among them, AlV$_2$O$_4$ and LiV$_2$O$_4$…

Strongly Correlated Electrons · Physics 2015-12-04 Amane Uehara , Hiroshi Shinaoka , Yukitoshi Motome

The strongly correlated spin-electron system on a diamond chain containing localized Ising spins on its nodal lattice sites and mobile electrons on its interstitial sites is exactly solved in a magnetic field using the transfer-matrix…

Strongly Correlated Electrons · Physics 2016-02-17 J. Torrico , M. Rojas , M. S. S. Pereira , J. Strecka , M. L. Lyra

Using a hybrid method based on fermionic diagonalization and classical Monte Carlo, we investigate the interplay between itinerant and localized spins, with competing double- and super-exchange interactions, on a honeycomb lattice. For…

Strongly Correlated Electrons · Physics 2011-09-12 Jörn W. F. Venderbos , Maria Daghofer , Jeroen van den Brink , Sanjeev Kumar

Geometric frustration is a broad phenomenon that results from an intrinsic incompatibility between some fundamental interactions and the underlying lattice geometry1-7. Geometric frustration gives rise to new fundamental phenomena and is…

Materials Science · Physics 2011-10-26 Narayani Choudhury , Laura Walizer , Sergey Lisenkov , L. Bellaiche