Magnetization plateau and supersolid phases in the spin-
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 antiferromagnetic Heisenberg model on a tetragonally distorted fcc lattice

Morita, Katsuhiro; Tohyama, Takami

doi:10.1103/physrevb.99.144417

Cited by 9 publications

(6 citation statements)

References 56 publications

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“…This intermediate phase is now believed to be a spin-nematic phase, after the theoretical proposal incorporating the quantum effect [42]. Recently, the ground state of the S = 1/2 Heisenberg model on the fcc lattice under magnetic fields was also investigated by Morita et al [55]. The magnetization curve on the S = 1/2 fcc lattice without tetragonal distortion is quite similar with our results (Fig.…”

Section: Discussionsupporting

confidence: 89%

Magnetization process of the breathing pyrochlore magnet CuInCr4S8 in ultrahigh magnetic fields up to 150 T

et al. 2020

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The magnetization process of the breathing pyrochlore magnet CuInCr 4 S 8 has been investigated in ultra-high magnetic fields up to 150 T. Successive phase transitions characterized with a substantially wide 1/2-plateau from 55 T to 110 T are observed in this system, resembling those reported in chromium spinel oxides. In addition to the 1/2-plateau phase, the magnetization is found to exhibit two inherent behaviors: a slight change in the slope of the M-H curve at ∼ 85 T and a shoulder-like shape at ∼ 130 T prior to the saturation. Both of them are accompanied by a hysteresis, suggesting first-order transitions. The theoretical calculation applicable to CuInCr 4 S 8 is also shown, based on the microscopic model with the spin-lattice coupling. The calculation fairly well reproduces the main features of the experimentally observed magnetization process, including a relatively wide cant 2:1:1 phase clearly observed in the previous work [Y. Okamoto et al., J. Phys. Soc. Jpn. 87, 034709 (2018)]. The robust 1/2-plateau on CuInCr 4 S 8 seems to be originated from the dominant antiferromagnetic interactions and the strong spin-lattice coupling.

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Section: Discussionsupporting

confidence: 89%

Magnetization process of the breathing pyrochlore magnet CuInCr4S8 in ultrahigh magnetic fields up to 150 T

et al. 2020

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“…More generally, they constitute a step towards the understanding of how long-range interactions can affect the properties of ultracold gases. Note added -After the acceptance of this work, we became aware of a recent study [63] showing transitions between supersolid phases in a different model. However, as in previous cases (see e.g.…”

Section: IIImentioning

confidence: 99%

Supersolid Stripe Crystal from Finite-Range Interactions on a Lattice

et al. 2019

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Strong, long-range interactions present a unique challenge for the theoretical investigation of quantum many-body lattice models, due to the generation of large numbers of competing states at low energy. Here, we investigate a class of extended bosonic Hubbard models with off-site terms interpolating between short-and infinite-range, thus allowing for an exact numerical solution for all interaction strengths. We predict a novel type of stripe crystal at strong coupling. Most interestingly, for intermediate interaction strengths we demonstrate that the stripes can turn superfluid, thus leading to a self-assembled array of quasi one-dimensional superfluids. These bosonic superstripes turn into an isotropic supersolid with decreasing the interaction strength. The mechanism for stripe formation is based on cluster self-assemblying in the corresponding classical ground state, reminiscent of classical soft-matter models of polymers, different from recently proposed mechanisms for cold gases of alkali or dipolar magnetic atoms. PACS numbers: 05.30.-d, 67.80.K-, 64.75.Yz arXiv:1909.09082v1 [cond-mat.quant-gas]We discuss the effects of variations in density and interaction range on the many-body phases of [S1]. In particular, for a choice of density ρ = 1/6, we demonstrate the existence of a stripe crystal for large values of interaction strength V /t and of a quantum phase transition from an anisotropic supersolid to a homogeneous supersolid with decreasing V /t for Hamiltonian Eq. (1) in the main text [S1].

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“…9(c), 9(g) and 9(b), 9(f), i.e., the fact that the correlations along the zz line of the reference site are much stronger than those on the remaining zz lines, reflects the presence of the remaining members of the classical manifold at low energies, at an energy scale ∝ J eff given by Eq. (33). Given that the latter grows with L, one expects that the influence of these remaining members will diminish with L, and the correlations to become eventually uniform in strength throughout the bulk of the system for L → ∞.…”

Section: Regions Ia-ibmentioning

confidence: 99%

“…The resulting anisotropic exchange gives rise to a new type of magnetic frustration, different from geometrical frustration [10,11], a wealth of unusual magnetic orders with strong sensitivity to external perturbations [6,8,[12][13][14][15][16][17][18][19][20], as well as gapped and gapless spin liquids with fractionalized excitations [21]. In addition to the extensively studied layered honeycomb materials α-RuCl 3 , Na 2 IrO 3 and α-Ir 2 IrO 3 , and their 3D analogues (β-γ )-Li 2 IrO 3 , other geometriesincluding triangular, kagome, pyrochlore, hyperkagome and fcc lattices-have attracted a lot of attention because they combine the frustration from the competing exchange couplings with the geometric frustration of the underlying lattices [22][23][24][25][26][27][28][29][30][31][32][33].…”

Section: Introductionmentioning

confidence: 99%

Quantum-classical crossover in the spin- 12 Heisenberg-Kitaev kagome magnet

Yang

Perkins

Koç

et al. 2020

Phys. Rev. Research

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The spin-1/2 Heisenberg kagome antiferromagnet is one of the paradigmatic playgrounds for frustrated quantum magnetism, with an extensive number of competing resonating valence bond (RVB) states emerging at low energies, including gapped and gapless spin liquids and valence bond crystals. Here we revisit the crossover from this quantum RVB phase to a semiclassical regime brought about by anisotropic Kitaev interactions, and focus on the precise mechanisms underpinning this crossover. To this end, we introduce a simple parametrization of the classical ground states (GSs) in terms of emergent Ising-like variables, and use this parametrization: (i) to construct an effective low-energy description of the order-by-disorder mechanism operating in a large part of the phase diagram and (ii) to contrast, side by side, exact diagonalization data obtained from the full basis with that obtained from the restricted (orthonormalized) basis of classical GSs. The results reveal that fluctuation corrections from states outside the restricted basis are strongly quenched inside the semiclassical regime (due to the large anisotropy spin gaps), and that the RVB phase survives up to a relatively large value of Kitaev anisotropy K. We further find that the pure Kitaev model admits a subextensive number of one-dimensional symmetries, which explains naturally the absence of classical and quantum order by disorder reported previously.

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Magnetization plateau and supersolid phases in the spin- 12 antiferromagnetic Heisenberg model on a tetragonally distorted fcc lattice

Cited by 9 publications

References 56 publications

Magnetization process of the breathing pyrochlore magnet CuInCr4S8 in ultrahigh magnetic fields up to 150 T

Magnetization process of the breathing pyrochlore magnet CuInCr4S8 in ultrahigh magnetic fields up to 150 T

Supersolid Stripe Crystal from Finite-Range Interactions on a Lattice

Quantum-classical crossover in the spin- 12 Heisenberg-Kitaev kagome magnet

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