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Related papers: Ground state properties of quantum triangular ice

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Ordering of the frustrated classical Heisenberg model on the triangular-lattice with an incommensurate spiral spin structure is studied under magnetic fields by means of a mean-field analysis and a Monte Carlo simulation. Several types of…

Statistical Mechanics · Physics 2015-03-19 Tsuyoshi Okubo , Sungki Chung , Hikaru Kawamura

Magnetoelastic properties of the spin-1/2 Ising-Heisenberg model on doubly decorated planar lattices partially amenable to lattice vibrations are examined within the framework of the harmonic approximation and decoration-iteration…

Statistical Mechanics · Physics 2015-05-30 Jozef Strecka , Onofre Rojas , S. M. de Souza

Geometrical frustration in spin systems often results in a large number of degenerate ground states. In this work we study the antiferromagnetic Ising model on the three dimensional swedenborgite lattice which is a specific stacking of…

Strongly Correlated Electrons · Physics 2014-10-01 Stefan Buhrandt , Lars Fritz

Motivated by its relation to an $\cal{NP}$-hard problem, we analyze the ground state properties of anti-ferromagnetic Ising-spin networks embedded on planar cubic lattices, under the action of homogeneous transverse and longitudinal…

Quantum Physics · Physics 2009-11-10 Cameron Wellard , Roman Orus

The triangular lattice of S=1/2 spins with XXZ anisotropy is a ubiquitous model for various frustrated systems in different contexts. We determine the quantum phase diagram of the model in the plane of the anisotropy parameter and the…

Strongly Correlated Electrons · Physics 2014-04-04 Daisuke Yamamoto , Giacomo Marmorini , Ippei Danshita

We study the ground-state (gs) properties of the frustrated spin-1/2 $J_{1}$--$J_{2}$--$J_{3}$ Heisenberg model on a honeycomb lattice with ferromagnetic (FM) nearest-neighbor ($J_{1}=-1$) exchange and frustrating antiferromagnetic (AFM)…

Strongly Correlated Electrons · Physics 2012-02-23 P. H. Y. Li , R. F. Bishop , D. J. J. Farnell , J. Richter , C. E. Campbell

A new model of localized highly frustrated ferromagnetism is presented: kagome spin ice. By use of analytical and Monte Carlo calculations its massive groundstate entropy is evaluated. Monte Carlo calculations are also used to explore the…

Materials Science · Physics 2007-05-23 A. S. Wills , R. Ballou , C. Lacroix

We consider some classical and frustrated lattice spin models with global O(3) spin symmetry. There is no general analytical method to find a ground-state if the spin dependence of the Hamiltonian is more than quadratic (i.e. beyond the…

Strongly Correlated Electrons · Physics 2015-03-17 Laura Messio , Claire Lhuillier , Grégoire Misguich

We propose a new model for the nature of the low temperature phase of a geometrically frustrated antiferromgnet (AFM) with a Kagome lattice, SrCr$_{8-x}$Ga$_{4+x}$O$_{19}$. We propose that the long-range dipolar interaction between the…

Condensed Matter · Physics 2007-05-23 Nir Gov

We investigate the ground state and critical temperature phase diagrams of the classical and quantum $S=1/2$ pyrochlore lattice with nearest-neighbor Heisenberg and Dzyaloshinskii-Moriya interactions (DMI). We consider ferromagnetic and…

This paper is concerned with physics of the low energy singlet excitations found to exist below the spin gap in numerical studies of the Kagome lattice quantum Heisenberg antiferromagnet. Insight into the nature of these excitations is…

Strongly Correlated Electrons · Physics 2010-07-16 P. Nikolic , T. Senthil

We consider the effect of quantum spin fluctuations on the ground state properties of the Heisenberg antiferromagnet on an anisotropic triangular lattice using linear spin-wave theory. This model should describe the magnetic properties of…

Strongly Correlated Electrons · Physics 2009-10-31 J. Merino , Ross H. McKenzie , J. B. Marston , C. H. Chung

We study, on the basis of the general entangled-plaquette variational ansatz, the ground-state properties of the spin-1/2 antiferromagnetic Heisenberg model on the triangular lattice. Our numerical estimates are in good agreement with…

Strongly Correlated Electrons · Physics 2015-05-19 Fabio Mezzacapo , J. Ignacio Cirac

The Heisenberg antiferromagnet on a two-dimensional triangular lattice is a paradigmatic problem in frustrated magnetism. Even in the classical limit, its properties are far from simple. The "120 degree" ground state favoured by the…

Strongly Correlated Electrons · Physics 2011-12-19 Luis Seabra , Tsutomu Momoi , Philippe Sindzingre , Nic Shannon

The exploration of topological electronic phases that result from strong electronic correlations is a frontier in condensed matter physics. One class of systems that is currently emerging as a platform for such studies are so-called kagome…

We analyse the low temperature properties of a system of classical Heisenberg spins on a hexagonal lattice with Kitaev couplings. For a lattice of 2N sites with periodic boundary conditions, we show that the ground states form an (N+1)…

Statistical Mechanics · Physics 2010-09-14 Samarth Chandra , Kabir Ramola , Deepak Dhar

We explore a transverse-field Ising model that exhibits both spontaneous symmetry-breaking and eigenstate thermalization. Within its ferromagnetic phase, the exact eigenstates of the Hamiltonian of any large but finite-sized system are all…

Statistical Mechanics · Physics 2014-08-12 Bo Zhao , Merritt C. Kerridge , David A. Huse

The combined effect of frustration and correlation in electrons is a matter of considerable interest of late. In this context a Falicov-Kimball model on a triangular lattice with two localized states, relevant for certain correlated…

Strongly Correlated Electrons · Physics 2015-05-19 Umesh K. Yadav , T. Maitra , Ishwar Singh , A. Taraphder

We use a combination of density matrix renormalization group calculations and analytical approaches to study a simplified model for a spatially anisotropic spin-1/2 triangular lattice Heisenberg antiferromagnet: the three-leg triangular…

Strongly Correlated Electrons · Physics 2013-04-30 Ru Chen , Hyejin Ju , Hong-Chen Jiang , Oleg A. Starykh , Leon Balents

We find that ground states of the quantum Heisenberg antiferromagnet on the geometrically frustrated pyrochlore checkerboard lattice are singlets and can be expressed in terms of positive matrices. The magnetization at zero external field…

Mathematical Physics · Physics 2009-10-31 Elliott H. Lieb , Peter Schupp
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