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We investigate the phase diagram of hard-core bosons on a square lattice with competing interactions. The hard-core bosons can be represented also by spin-1/2 operators and the model can therefore be mapped onto an anisotropic…

Strongly Correlated Electrons · Physics 2015-03-18 A. Kalz , A. Honecker , S. Fuchs , T. Pruschke

We present Quantum Monte-Carlo simulations of an exchange-anisotropic spin-1/2 Heisenberg model on a square lattice with nearest and next-nearest neighbor interactions. The ground state phase diagram shows two classical magnetically ordered…

Strongly Correlated Electrons · Physics 2012-12-20 A. Kalz , A. Honecker , S. Fuchs , T. Pruschke

Partial disorder --the microscopic coexistence of long-range magnetic order and disorder-- is a rare phenomenon, that has been experimental and theoretically reported in some Ising- or easy plane-spin systems, driven by entropic effects at…

Strongly Correlated Electrons · Physics 2019-01-09 M. G. Gonzalez , F. T. Lisandrini , G. G. Blesio , A. E. Trumper , C. J. Gazza , L. O. Manuel

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 examine the ground state of a Heisenberg model with arbitrary spin S on a one-dimensional lattice composed of diamond-shaped units. A unit includes two types of antiferromagnetic exchange interactions which frustrate each other. The…

Condensed Matter · Physics 2009-10-28 K. Takano , K. Kubo , H. Sakamoto

We present variational results for the ground state of the antiferromagnetic quantum Heisenberg model with frustrating next-nearest-neighbour interactions. The trial wave functions employed are of resonating-valence-bond type, elaborated to…

Strongly Correlated Electrons · Physics 2013-10-24 Xiaoming Zhang , Jin Xu , K. S. D. Beach

Disordered quantum antiferromagnets in two-dimensional compounds have been a focus of interest in the last years due to their exotic properties. However, with very few exceptions, the ground states of the corresponding Hamiltonians are…

Quantum Gases · Physics 2017-06-07 A. Yuste , M. Moreno-Cardoner , A. Sanpera

The ground state of the square lattice bilayer quantum antiferromagnet with nearest and next-nearest neighbour intralayer interaction is studied by means of the modified spin wave method. For weak interlayer coupling, the ground state is…

Condensed Matter · Physics 2009-10-28 Kazuo Hida

We study effects of quenched bond disorder in frustrated easy-plane antiferromagnets in two space dimensions, using a combination of analytical and numerical techniques. We consider local-moment systems which display non-collinear…

Strongly Correlated Electrons · Physics 2020-09-16 Santanu Dey , Eric C. Andrade , Matthias Vojta

We consider frustrated Heisenberg antiferromagnets, whose clean-limit ground state is characterized by non-collinear long-range order with non-zero vector chirality, and study the effects of quenched bond disorder, i.e., random exchange…

Strongly Correlated Electrons · Physics 2020-02-03 Santanu Dey , Eric C. Andrade , Matthias Vojta

We present an antiferromagnetic quantum spin-1/2 model on honeycomb lattice. It has two parts, one of which is the usual nearest-neighbor Heisenberg model. The other part is a certain multiple spin interaction term, introduced by us, which…

Strongly Correlated Electrons · Physics 2015-05-13 Rakesh Kumar , Dushyant Kumar , Brijesh Kumar

The ground state properties of random-exchange spin-1/2 Heisenberg antiferromagnets on the square lattice are investigated using a combination of quantum Monte Carlo simulations, exact numerical diagonalizations, and spin wave calculations.…

Strongly Correlated Electrons · Physics 2007-05-23 Nicolas Laflorencie , Stefan Wessel , Andreas Laeuchli , Heiko Rieger

Quantum antiferromagnets on geometrically frustrated lattices have long attracted interest for the formation of quantum disordered states and the possible emergence of quantum spin liquid (QSL) ground states. Here we turn to the…

Strongly Correlated Electrons · Physics 2023-12-21 Lasse Gresista , Ciarán Hickey , Simon Trebst , Yasir Iqbal

In the present paper we study the phase diagram of the Heisenberg model on the honeycomb lattice with antiferromagnetic interactions up to third neighbors along the line $J_2=J_3$ that include the point $J_2=J_3=J_1/2$, corresponding to the…

Strongly Correlated Electrons · Physics 2015-03-13 D. C. Cabra , C. A. Lamas , H. D. Rosales

For the frustrated two-dimensional $S=1/2$ antiferromagnetic Heisenberg model close to quantum phase transition we consider the singlet ground states retaining both translational and SU(2) symmetry. Besides usually discussed checkerboard,…

Strongly Correlated Electrons · Physics 2015-05-14 A. V. Mikheyenkov , N. A. Kozlov , A. F. Barabanov

We explore the ground states and quantum phase transitions of two-dimensional, spin S=1/2, antiferromagnets by generalizing lattice models and duality transforms introduced by Sachdev and Jalabert (Mod. Phys. Lett. B 4, 1043 (1990),…

Strongly Correlated Electrons · Physics 2007-05-23 Subir Sachdev , Kwon Park

We study the ground-state phase diagram of a Heisenberg model with spin $S=\frac{1}{2}$ on a diamond-like decorated square lattice. A diamond unit has two types of antiferromagnetic exchange interactions, and the ratio $\lambda$ between the…

Statistical Mechanics · Physics 2016-12-21 Yuhei Hirose , Akihide Oguchi , Yoshiyuki Fukumoto

The spin-1/2 Heisenberg model on the pyrochlore lattice is an iconic frustrated three-dimensional spin system with a rich phase diagram. Besides hosting several ordered phases, the model is debated to possess a spin-liquid ground state when…

Strongly Correlated Electrons · Physics 2021-11-16 Nikita Astrakhantsev , Tom Westerhout , Apoorv Tiwari , Kenny Choo , Ao Chen , Mark H. Fischer , Giuseppe Carleo , Titus Neupert

We analyze the phases of an S=1/2 spin model on a lattice of coupled tetrahedra. The presence of both Heisenberg and antisymmetric, Dzyaloshinsky-Moriya interactions can lead to two types of symmetry-broken states: non-magnetic dimer order…

Strongly Correlated Electrons · Physics 2016-08-31 Valeri N. Kotov , Michael E. Zhitomirsky , Maged Elhajal , Frederic Mila

We explore the phase diagram and the low-energy physics of three Heisenberg antiferromagnets which, like the kagome lattice, are networks of corner-sharing triangles but contain two sets of inequivalent short-distance resonance loops. We…

Strongly Correlated Electrons · Physics 2013-11-07 I. Rousochatzakis , R. Moessner , J. van den Brink
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