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The antiferromagnetic Heisenberg model on the dodecahedron possesses a number of ground state magnetization discontinuities in a field at the classical and quantum level, even though it lacks magnetic anisotropy. Here the model is…

Strongly Correlated Electrons · Physics 2016-01-20 N. P. Konstantinidis

Traditional frustration arises from the conflict between the spin alignments due to the geometry or the nature of the interactions. Here, we demonstrate a novel form of frustration, dubbed ``emergent frustration'', which is induced by the…

Strongly Correlated Electrons · Physics 2025-04-21 Zehui Deng , Lu Liu , Wenan Guo , Hai-Qing Lin

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

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

Using variational cluster approach, we study influence of frustration and dimensionality on magnetic properties in the ground state of Hubbard model on a stacked square lattice in the large $U$ region (U/t=10), by changing the…

Strongly Correlated Electrons · Physics 2015-05-13 Toshihiko Yoshikawa , Masao Ogata

Anisotropic antiferromagnetic systems of dimensionality greater than one in an external field are shown to exhibit a complicated array of ground states depending on the spin structure of the surface. The simplest structure that exhibits…

Materials Science · Physics 2009-11-10 B. A. Ivanov , C. E. Zaspel , A. Yu. Merkulov

In both spinel compounds GeCo$_2$O$_4$ and GeNi$_2$O$_4$ which order antiferromagnetically (at $T_N = 23.5 K$ and $T_{N_1} = 12.13 K$, $T_{N_2} = 11.46 K$) with different Curie Weiss temperatures ($T_{CW}$=80.5 K and -15 K), the usual…

Strongly Correlated Electrons · Physics 2009-11-11 Sébastien Diaz , Sophie De Brion , G. Chouteau , Benjamin Canals , Virginie Simonet , P. Strobel

Ground-state and finite-temperature properties of the mixed spin-1/2 and spin-S Ising-Heisenberg diamond chains are examined within an exact analytical approach based on the generalized decoration-iteration map. A particular emphasis is…

Statistical Mechanics · Physics 2009-11-11 Lucia Canova , Jozef Strecka , Michal Jascur

Frustrated lattices1-3, characterized by minor breakdown in local order in an otherwise periodic lattice, lead to simultaneous possibilities of several ground states which can trigger unique physical properties, in condensed matter systems.…

Mesoscale and Nanoscale Physics · Physics 2014-04-07 Satyendra Prakash Pal , P. Sen

We investigate the competition between spin-supersolidity and phase separation in a frustrated spin-half model of weakly coupled dimers. We start by considering systems of hard-core bosons on the square lattice, onto which the low-energy…

Strongly Correlated Electrons · Physics 2011-05-11 A. Fabricio Albuquerque , Nicolas Laflorencie , Jean-David Picon , Frédéric Mila

Some frustrated magnets and superconducting arrays possess unusual symmetries that cause the free energy or other physics of a $D$-dimensional quantum or classical problem to be that of a different problem in a reduced dimension $d<D$.…

Strongly Correlated Electrons · Physics 2009-11-10 Cenke Xu , J. E. Moore

The small-cluster exact-diagonalization calculations and the projector quantum Monte Carlo method are used to examine the competing effects of geometrical frustration and interaction on ferromagnetism in the Hubbard model on the…

Strongly Correlated Electrons · Physics 2018-05-23 Pavol Farkasovsky

The concept of geometrical frustration in condensed matter physics refers to the fact that a system has a locally preferred structure with an energy density lower than the infinite ground state. This notion is however often used in a…

Statistical Mechanics · Physics 2019-12-04 Pierre Ronceray , Bruno Le Floch

We propose a new type of magnetically disordered ground state for a frustrated quantum antiferromagnet. This disordered state is an array of spin singlets spontaneously formed on four spin plaquettes. Both perturbation results and…

Condensed Matter · Physics 2009-10-28 M. E. Zhitomirsky , Kazuo Ueda

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

The low-energy magnetic configurations of artificial frustrated spin chains are investigated using magnetic force microscopy and micromagnetic simulations. Contrary to most studies on two-dimensional artificial spin systems where…

Mesoscale and Nanoscale Physics · Physics 2017-08-02 V. -D. Nguyen , Y. Perrin , S. Le Denmat , B. Canals , N. Rougemaille

A fundamental motif in frustrated magnetism is the fully mutually coupled cluster of $N$ spins, with each spin coupled to every other spin. Clusters with $N=2$ and $3$ have been extensively studied as building blocks of square and…

Strongly Correlated Electrons · Physics 2018-02-07 Subhankar Khatua , R. Shankar , R. Ganesh

Geometric frustration emerges when local interaction energies in an ordered lattice structure cannot be simultaneously minimized, resulting in a large number of degenerate states. The numerous degenerate configurations may lead to practical…

Quasiperiodic structures possess long range positional order, but are freed of constraints imposed by translational invariance. For spins interacting via Heisenberg couplings, one may expect therefore to find novel magnetic configurations…

Strongly Correlated Electrons · Physics 2008-10-15 Anuradha Jagannathan , Attila Szallas

We investigate quantum phase transitions among the spin-gap phases and the magnetically ordered phases in a two-dimensional frustrated antiferromagnetic spin system, which interpolates several important models such as the orthogonal-dimer…

Strongly Correlated Electrons · Physics 2009-11-07 Yoshihiro Takushima , Akihisa Koga , Norio Kawakami