Quantum Phase Diagram of the Triangular-Lattice<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>X</mml:mi><mml:mi>X</mml:mi><mml:mi>Z</mml:mi></mml:mrow></mml:math>Model in a Magnetic Field

Yamamoto, Daisuke; Marmorini, Giacomo; Danshita, Ippei

doi:10.1103/physrevlett.112.127203

Cited by 151 publications

(74 citation statements)

References 60 publications

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“…2. A very similar phase diagram has been recently obtained in the numerical cluster mean-field analysis of the S = 1/2 XXZ model [17].…”

Section: Figmentioning

confidence: 55%

“…In this limit, the calculations in the vicinity of the saturation field can be done using a well-established dilute Bose gas expansion and are controlled by simultaneous smallness of 1/S and of (h sat − h)/h sat [11,[13][14][15]. We argue that our results are applicable for all values of S, down to S = 1/2, because (i) quantum selection of the V state holds even for S = 1/2 [14], and (ii) numerical analysis of S = 1/2 systems [14,17] identified the same phases near saturation field as found here.…”

Section: Figmentioning

confidence: 97%

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Phases of a Triangular-Lattice Antiferromagnet Near Saturation

2014

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We consider 2D Heisenberg antiferromagnets on a triangular lattice with spatially anisotropic interactions in a high magnetic field close to the saturation. We show that this system possess rich phase diagram in field/anisotropy plane due to competition between classical and quantum orders: an incommensurate noncoplanar spiral state, which is favored classically, and a commensurate co-planar state, which is stabilized by quantum fluctuations. We show that the transformation between these two states is highly non-trivial and involves two intermediate phases -the phase with co-planar incommensurate spin order and the one with non-coplanar double-Q spiral order. The transition between the two co-planar states is of commensurateincommensurate type, not accompanied by softening of spin-wave excitations. We show that a different sequence of transitions holds in triangular antiferromagnets with exchange anisotropy, such as Ba3CoSb2O9.Introduction. The field of frustrated quantum magnetism witnessed a remarkable revival of interest in the last few years due to rapid progress in synthesis of new materials and in understanding previously unknown states of matter. The two main lines of research in the field are searches for spin-liquid phases and for new ordered phases with highly non-trivial spin structures [1]. For the latter, the most promising system is a 2D Heisenberg antiferromagnet on a triangular lattice in a finite magnetic field, as this system is known to possess an "accidental" classical degeneracy: every classical spin configuration with a triad of neighboring spins satisfying S r + S r+δ1 + S r+δ2 = h/(3J), where J is the exchange interaction, belongs to the ground state manifold.An infinite degeneracy, however, holds only for an ideal Heisenberg system with isotropic nearest-neighbor interaction. Real systems have either spatial anisotropy of exchange interactions, as in Cs 2 CuCl 4 [2, 3] and Cs 2 CuBr 4 [4-6] for which the interaction J on horizontal bonds is larger than J on diagonal bonds (see insert in Fig. 1), or exchange anisotropy in spin space, as in Ba 3 CoSb 2 O 9 , for which J z < J ⊥ = J (an easy plane anisotropy) [7][8][9]. An anisotropy of either type breaks accidental degeneracy already at a classical level and for fields h = hẑ slightly below the saturation field h sat selects a non-coplanar cone state with

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“…2. A very similar phase diagram has been recently obtained in the numerical cluster mean-field analysis of the S = 1/2 XXZ model [17].…”

Section: Figmentioning

confidence: 55%

Section: Figmentioning

confidence: 97%

Phases of a Triangular-Lattice Antiferromagnet Near Saturation

2014

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“…As another possibility, a quantum compass model can be stabilized, as proposed for triangular transition metal oxides [6]. Assuming significant easy-axis anisotropy, unprecedented phases and phase transitions might also be identified, as triggered by external magnetic fields [29]. For intermediate U, in a nonmagnetic insulator regime where the Mott gap has already developed but charge fluctuations are still significant, a spin liquid might be found (see, e.g., Ref.…”

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confidence: 98%

Triangular Spin-Orbit-Coupled Lattice with Strong Coulomb Correlations: Sn Atoms on a SiC(0001) Substrate

Glass

Adler

et al. 2015

Phys. Rev. Lett.

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Two-dimensional (2D) atom lattices provide model setups with Coulomb correlations that induce competing ground states. Here, SiC emerges as a wide-gap substrate with reduced screening. We report the first artificial high-Z atom lattice on SiC(0001) by Sn adatoms, based on experimental realization and theoretical modeling. Density-functional theory of our triangular structure model closely reproduces the scanning tunneling microscopy. Photoemission data show a deeply gapped state (∼2 eV gap), and, based on our calculations including dynamic mean-field theory, we argue that this reflects a pronounced Mott-insulating scenario. We also find indications that the system is susceptible to antiferromagnetic superstructures. Such artificial lattices on SiC(0001) thus offer a novel platform for coexisting Coulomb correlations and spin-orbit coupling, with bearing for unusual magnetic phases and proposed topological quantum states of matter.

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“…In this paper, we focus on the detailed ground-state phase diagrams of the model in equation (1) for both signs of t¢ and elucidate the nature of the phase transitions therein. The cluster mean-field (CMF) theory is employed here, which has been applied to various spin [34][35][36][37][38] and boson [39][40][41][42][43][44][45][46][47] systems with success. We note that the main difference between two SS states, the HSS and the CSS states, comes from the distinct momentum states at which bosons condenses.…”

Section: Introductionmentioning

confidence: 99%

Two supersolid phases in hard-core extended Bose–Hubbard model

Chen

Yang

2017

J. Phys. Commun.

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The effect of the next-nearest-neighbor (nnn) tunneling on the hard-core extended Bose-Hubbard model on square lattices is investigated. By means of the cluster mean-field theory, the ground-state phase diagrams are determined. When a modest nnn tunneling is introduced, depending on its sign, two distinct supersolid (SS) states with checkerboard crystal structures are found away from halffiling. The characters of various phase transitions out of these two SS states are discussed. In particular, for the case with kinetic frustration, the existence of a half SS phase possessing both solid and unconventional superfluid orders is established. Our work hence sheds light on the search of this interesting SS phase in real ultracold lattice gases with frustrated tunnelings.

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Quantum Phase Diagram of the Triangular-LatticeXXZModel in a Magnetic Field

Cited by 151 publications

References 60 publications

Phases of a Triangular-Lattice Antiferromagnet Near Saturation

Phases of a Triangular-Lattice Antiferromagnet Near Saturation

Triangular Spin-Orbit-Coupled Lattice with Strong Coulomb Correlations: Sn Atoms on a SiC(0001) Substrate

Two supersolid phases in hard-core extended Bose–Hubbard model

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