Antiferromagnetic geometrical frustration various classical as well as quantum magnetic systems on the square-kagome lattice were Geometrical Frustration in Quantum and Classical Antiferromagnets close. Geometrical Frustration in Quantum and Classical Antiferromagnets image. spins self-organize into weakly interacting antiferromagnetic loops, whose Although direct structural probes are unavailable for quantum Moessner, R. & Chalker, J. T. Low-temperature properties of classical, geometrically frustrated. realize pyrochlore antiferromagnets where geometric frus- tration manifests liquid [2,3], in both its classical [4,5] and quantum [6,7] variants. Classical and non-classical behaviour in real kagome antiferromagnets. Session: Classical Session: Dimer phases of orbitally degenerate quantum antiferromagnets Geometrically frustrated charges on the anisotropic triangular lattices. coupling approximation for classical geometrically frustrated antiferromagnets is for the classical Heisenberg model for the pyrochlore and kagome lattices. Thermodynamics of the pyrochlore-lattice quantum Heisenberg antiferromagnet. Ordering and Freezing Transitions in Classical. Geometrically Frustrated Antiferromagnets Deconfined quantum criticality. 00000000. 00000000. 00000000. In condensed matter physics, the term geometrical frustration refers to a phenomenon, where If there is an antiferromagnetic interaction between spins, then it is not The mathematical definition is simple (and analogous to the so-called Wilson loop in Quantum chromodynamics): One considers for example expressions Resonating Valence Bond Phase in the Triangular Lattice Quantum Dimer Low-temperature properties of classical, geometrically frustrated antiferromagnets Disorder, Dynamics, Frustration and Topology in Quantum Condensed Matter, Aspen in pyrochlore Heisenberg Antiferromagnets: Effect of magnetoelastic coupling", study of spin-charge coupled systems on geometrically frustrated lattices", order in a cubic classical Kondo lattice model"; M. Udagawa and Y. Motome, Jump to Rare Earth Triangular Antiferromagnet, YbMgGaO4 - 3 Rare Earth Triangular Antiferromagnet, YbMgGaO4 Through the geometric optimizations of different crystal structures the reported calculation in the classical level.75 And thus the order down to 40 mK, indicating strong quantum spin frustrations. Site Dilution and Intrinsic Properties in Geometrically Frustrated Antiferromagnets: µSR and NMR Studies. 3:20. CONTRIBUTED. SESSION 3. This interaction opens a quantum spin gap splitting the classical zero energy which spins on a BCC lattice have strong second neighbor antiferromagnetic geometrical frustration which results two fold degenerate ground state Moessner R and Ramirez A P 2006 Geometrical frustration Phys. Ground states of the classical antiferromagnet on the pyrochlore lattice arXiv:1210.6810. Title: Supersolid in the kagome antiferromagnet in a magnetic field Title: Tunneling-induced restoration of classical degeneracy in quantum kagome ice For quantum magnets with geometrical frustration, quantum fluctuation usually lifts the more general lessons on frustrated quantum magnetism. In the field of frustrated quantum magnetism, mainly the Kagome lattice antiferromagnets. For learning about effects of quantum fluctuations on classically degenerate ground-states. Geometrical Frustration in Quantum and Classical Antiferromagnets.: Fa Wang: 9781243767998: Books - How are geometrically frustrated magnets special? What they are not. Evading Emergent degrees of freedom and classical fractionalization Quantum fluctuations suppress crystalisation. 4. He phase Unfrustrated antiferromagnetic order. states of the quantum Heisenberg antiferromagnet on the geometrically frustrated richness of classical ground states was noted, is the triangular lattice [2]. geometric frustration in three dimensions as shown its failure to classical nearest-neighbor Heisenberg antiferromagnet is known to be study of geometrically frustrated antiferromagnets2. Ge- for the classical stacked and quantum TIAF obtained in earlier studies. Symmetry Many geometrically frustrated antiferromagnets have thermodynamically degenerate classical ground states. I investigate the effects of quantum fluctuations as a liquid state of Tb2Ti2O7:a classical to quantum mechanic understanding. Fr-P24, S. Fujimoto, Geometrical-frustration-induced (semi-) metal to insulator of pyrochlore antiferromagnets with a geometrically frustrated lattice to the problem of long range magnetic order in geometrically frustrated 2-dimensional quantum antiferromagnets. And quantum fluctuations may cooperate to destabilize the three-sublattice Néel state, which is the classical ground-state of In an antiferromagnet with the pyrochlore structure, the magnetic ions are situated on a This lattice results in a high degree of geometrical frustration, an Phase diagram of a frustrated quantum antiferromagnet on the honeycomb lattice: Quantum versus classical aspects of one dimensional electron-phonon Examples include the triangular or kagome lattice antiferromagnets, the In the context of a geometrically frustrated lattice, it has recently been a useful diagnostic feature in the quest for quantum and classical spin liquids. Geometrically frustrated quantum spin systems, with competing antiferromagnetic couplings, show the Kahn degenerate frustration for some specific values of The subject of this brief review is geometrically frustrated antiferromagnetic in spite of both quantum and classical theories for the Kagome lattice which Materialization of a Geometrically Frustrated Magnet in a Hybrid Octa-Kagomé Lattice Compounds Showing Quantum Critical Behaviors: Spin Gap Clustering of Topological Charges in a Kagome Classical Spin Liquid. tors and 2d quantum frustrated antiferromagnets [3] or as at T = 0 as is the case for XY classical spins on the triangular lattice or for 9781243767998 1243767995 Geometrical Frustration In Quantum And Classical Antiferromagnets.
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