Anisotropy-Induced Ordering in the Quantum<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>J</mml:mi><mml:mn>1</mml:mn></mml:msub><mml:mtext mathvariant="normal">−</mml:mtext><mml:msub><mml:mi>J</mml:mi><mml:mn>2</mml:mn></mml:msub></mml:math>Antiferromagnet

Roscilde, Tommaso; Feiguin, Adrian; Chernyshev, A. L.; Liu, Shiu; Haas, Stephan

doi:10.1103/physrevlett.93.017203

Cited by 59 publications

(81 citation statements)

References 26 publications

(24 reference statements)

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“…Interest on entanglement has been triggered in the last few years by the discovery of its potential for developing new forms of information transmission and processing [1][2][3][4], being a resource in Quantum Information science [5]. Entanglement has also provided a new perspective for the analysis of correlations and transitions in many-body quantum systems [6][7][8][9][10]. In systems at finite temperature T , two fundamental questions which immediately arise [11,12] are: a) the determination of the limit temperatures for the existence of different kinds of entanglement and b) the possible emergence of entanglement for T > 0 when the ground state is separable due to entangled excited states.…”

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confidence: 99%

Global entanglement inXXZchains

Canosa

Rossignoli

2006

Phys. Rev. A

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We examine the thermal entanglement of XXZ-type Heisenberg chains in the presence of a uniform magnetic field along the z axes, through the evaluation of the negativity associated with bipartitions of the whole system and subsystems. Limit temperatures for non-zero global negativities are shown to depend on the asymmetry ∆ but not on the uniform field, and can be much higher than those limiting pairwise entanglement. It is also shown that global bipartite entanglement may exist for T > 0 even for ∆ ≥ 1, i.e., when the system is fully aligned (and hence separable) at T = 0, and that the bipartition leading to the highest limit temperature depends on ∆.

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confidence: 99%

Global entanglement inXXZchains

Canosa

Rossignoli

2006

Phys. Rev. A

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“…(1) with t ⊥ = 0 can be transformed into the two-dimensional J 1 -J 2 Heisenberg model on the square lattice. This J 1 -J 2 model has been studied extensively [23,24,25,26,27,28,29,30,31,32,33,34,35]. When J 2 = 0 or t ′ /t = 0, it is well accepted that the ground state exhibits antiferromagnetic long-range order with the magnetic wave vector Q 0 = (π, π) due to a perfect nesting of fermi surface.…”

Section: Introductionmentioning

confidence: 99%

Role of frustration and dimensionality in the Hubbard model on the stacked square lattice: Variational cluster approach

Yoshikawa

Ogata

2009

Phys. Rev. B

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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 next-nearest-neighbor hopping, t ′ , and the interlayer hopping, t ⊥ . For small t ⊥ < t * ⊥ with t * ⊥ /t≈0.44, antiferromagnetic long-range order appears at small t ′ < t

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“…[7][8][9][10]). Amongst several methods that have been very successfully applied to the J 1 -J 2 model has been the coupled cluster method (CCM), [11][12][13][14] which has also been applied to many similar strongly-interacting and highly frustrated spin-lattice models with comparable success.…”

Section: Introductionmentioning

confidence: 99%

Ground-state phases of the frustrated spin-12J1–J2–
Li
¹
,
Bishop
²
,
Farnell
³

et al. 2012
Phys. Rev. B

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Ground-state phases of the frustrated spin- AbstractWe study the ground-state (gs) properties of the frustrated spin-1 2 J 1 -J 2 -J 3 Heisenberg model on the two-dimensional honeycomb lattice with ferromagnetic nearest-neighbor (J 1 = −1) exchange and frustrating antiferromagnetic next-nearest-neighbor (J 2 > 0) and next-next-nearest-neighbor (J 3 > 0) exchanges, for the case J 3 = J 2 . We use the coupled-cluster method implemented to high orders of approximation, complemented by the Lanczos exact diagonalization of a large finite lattice with 32 sites, in order to calculate the gs energy, magnetic order parameter, and spin-spin correlation functions. In one scenario we find a quantum phase transition point between regions characterized by ferromagnetic order and a form of antiferromagnetic ("striped") collinear order at J c 2 ≈ 0.1095 ± 0.0005, which is below the corresponding hypothetical transition point at J cl 2 = 1 7(≈ 0.143) for the classical version of the model, in which we momentarily ignore the intervening noncollinear spiral phase in the region In recent years frustrated quantum spin systems on regular two-dimensional (2D) lattices have aroused a great deal of research interest.1-3 In particular the interplay of magnetic frustration and quantum fluctuations has been seen to be a very effective route to destabilize or destroy magnetic order and thereby to create new quantum phases. Such 2D magnetic systems can thus in turn develop a diverse array of phases with widely different orderingproperties, such as antiferromagnets with quasiclassical Néel ordering, quantum "spirals", valence-bond crystals/solids, phases with nematic ordering, and spin liquids. Other factors that influence the ground-state (gs) phase structures are the nature of the underlying crystallographic lattice, the number and nature of the bonds on this lattice, and the spin quantum numbers of the atoms localized to the sites on the lattice. The theoretical investigation of these models has proceeded hand in hand with the discovery and experimental investigation of ever more quasi-2D magnetic materials with novel properties.One of the most intensively studied of all of the frustrated 2D models is the spin- HAFs on the triangular 15,16 and kagome lattices. 17,18There has been a large amount of recent experimental investigation of the properties of quasi-2D magnetic materials with a ferromagnetic (FM) NN coupling (J 1 < 0) and an antiferromagnetic (AFM) NNN coupling (J 2 > 0). 29 These experimental studies have also served to reignite interest in the theoretical investigation of the gs and thermodynamic properties of the FM J 1 -J 2 model, i.e., the model with FM NN exchange (J 1 < 0) and frustrating AFM NNN exchange (J 2 > 0). 30-41Interestingly, arguments for the existence of a spin-nematic phase between two quasiclassical magnetically-ordered phases were presented. 31,36,37,41 On the other hand, the existence of such a non-classical magnetically-disordered phase was also questioned in Ref.[39].Other systems that have grown in import...

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Anisotropy-Induced Ordering in the QuantumJ1−J2Antiferromagnet

Cited by 59 publications

References 26 publications

Global entanglement inXXZchains

Global entanglement inXXZchains

Role of frustration and dimensionality in the Hubbard model on the stacked square lattice: Variational cluster approach

Ground-state phases of the frustrated spin-12J1–J2–
Li
¹
,
Bishop
²
,
Farnell
³

et al. 2012
Phys. Rev. B

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Anisotropy-Induced Ordering in the QuantumJ1−J2Antiferromagnet

Cited by 59 publications

References 26 publications

Global entanglement inXXZchains

Global entanglement inXXZchains

Role of frustration and dimensionality in the Hubbard model on the stacked square lattice: Variational cluster approach

Ground-state phases of the frustrated spin-12J1–J2–Li1, Bishop2, Farnell3 et al. 2012Phys. Rev. B

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Ground-state phases of the frustrated spin-12J1–J2–
Li
¹
,
Bishop
²
,
Farnell
³

et al. 2012
Phys. Rev. B