Magnetization plateaus of an easy-axis kagome antiferromagnet with extended interactions

Plat, Xavier; Alet, Fabien; Capponi, Sylvain; Totsuka, Keisuke

doi:10.1103/physrevb.92.174402

Cited by 22 publications

(34 citation statements)

References 71 publications

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“…Between these two solid phases, we find a phase without any obvious symmetry breaking, and, as will be explained below, numerical data suggest the existence of fractionalized excitations in this symmetric phase and their condensation transitions into other symmetry-breaking phases. These results, combined with the quantum dimer model limit of our model [30,31], suggest that this phase is a Z 2 SL phase with an even Ising gauge structure.…”

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confidence: 52%

“…To have an even number of dimers required by the even Ising gauge structure [29], the net magnetization must be adjusted to 1 on each hexagon, corresponding to m z = ±1/6. With such a net magnetization, the ground state of the BFG model turns out to be ferromagnetic for large J ± /J z but may be a stripe solid (SS) phase [30] or spin liquid (SL) phase [31] in strong coupling region J ± J z . In order to stabilize the SL phase, a diagonal Rokhsar-Kivelson (RK) potential V RK defined on the corner shared triangles is introduced, and the critical point between SL and the accompanying staggered solid (ST) phase is exactly the RK point V RK = 4J 2 ± /J z .…”

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confidence: 99%

“…As mentioned in Ref. [30], the effective RK interaction can be inserted as the J z term in the original BFG model. As shown with QMC simulations below, it plays a key role in stabilizing the Z 2 spin liquid with an even Ising gauge field structure in our model.…”

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confidence: 99%

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Quantum Spin Liquid with Even Ising Gauge Field Structure on Kagome Lattice

et al. 2018

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Employing large-scale quantum Monte Carlo simulations, we study the extended XXZ model on the kagome lattice. A Z_{2} quantum spin liquid phase with effective even Ising gauge field structure emerges from the delicate balance among three symmetry-breaking phases including stripe solid, staggered solid, and ferromagnet. This Z_{2} spin liquid is stabilized by an extended interaction related to the Rokhsar-Kivelson potential in the quantum dimer model limit. The phase transitions from the staggered solid to a spin liquid or ferromagnet are found to be first order and so is the transition between the stripe solid and ferromagnet. However, the transition between a spin liquid and ferromagnet is found to be continuous and belongs to the 3D XY^{*} universality class associated with the condensation of spinons. The transition between a spin liquid and stripe solid appears to be continuous and associated with the condensation of visons.

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Quantum Spin Liquid with Even Ising Gauge Field Structure on Kagome Lattice

et al. 2018

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“…The materials Volborthite and Vesignieite [29][30][31][32], as well as the organic compound Cu-titmb [33], are also believed to be described by the S=1/2 Heisenberg KA. Further, in the presence of an external magnetic field, frustrated antiferromagnetic spin systems sometimes display the phenomenon of magnetization plateaux [30,[34][35][36][37]. For the S=1/2 KA, a plateau at a magnetization per site of 1/3 is well studied and predicted to be robust [9,38,39].…”

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confidence: 99%

Correlated spin liquids in the quantum kagome antiferromagnet at finite field: a renormalization group analysis

2019

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We analyze the antiferromagnetic spin-1/2 XXZ model on the kagome lattice at finite external magnetic field with the help of a non-perturbative zero-temperature renormalization group (RG) technique. The exact nature of the ground and excited state properties (e.g. gapped or gapless spectrum etc) of this system are still debated. Approximate methods have typically been adopted towards understanding the low-energy spectrum. Following the work of Kumar et al (2014 Phys. Rev. B 90 174409), we use a Jordan-Wigner transformation to map the spin problem into one of spinless fermions (spinons) in the presence of a statistical gauge field, and with nearest-neighbor interactions. While the work of Kumar et al was confined mostly to the plateau at 1/3-filling (magnetization per site) in the XY regime, we analyze the role of inter-spinon interactions in shaping the phases around this plateau in the entire XXZ model. The RG phase diagram obtained contains three spin liquid phases whose position is determined as a function of the exchange anisotropy and the energy scale for fluctuations arising from spinon scattering. Two of these spins liquids are topologically ordered states of matter with gapped, degenerate states on the torus. The gap for one of these phases corresponds to the one-spinon band gap of the Azbel-Hofstadter spectrum for the XY part of the Hamiltonian, while the other arises from two-spinon interactions. The Heisenberg point of this problem is found to lie within the interaction gapped spin liquid phase, in broad agreement with a recent experimental finding. The third phase is an algebraic spin liquid with a gapless Dirac spectrum for spinon excitations, and possess properties that show departures from the Fermi liquid paradigm. The three phase boundaries correspond to critical theories, and meet at a SU(2)-symmetric multicritical point. This special critical point agrees well with the gap-closing transition point predicted by Kumar et al. We discuss the relevance of our findings to various recent experiments, as well as results obtained from other theoretical analyses. projected wave function based study [15], effective field theories [15, 16], variational QMC analyses [17-19], numerical calculations of quantum dimer models [20] as well as TNS [21, 22], ED [23] and DMRG [24] based studies.Encouragingly, the material Herbertsmithite (ZnCu 3 (OH) 6 Cl 2 ) can be mapped to the n.n. S=1/2 KA model. Here too, however, conclusive results have remained elusive thus far: some experimental results on this material appear to show the existence of gapless excitations [25,26], while some others suggest a gapped spin liquid ground state with fractional excitations [27,28]. The materials Volborthite and Vesignieite [29][30][31][32], as well as the organic compound Cu-titmb [33], are also believed to be described by the S=1/2 Heisenberg KA. Further, in the presence of an external magnetic field, frustrated antiferromagnetic spin systems sometimes display the phenomenon of magnetization plateaux [30,[34][35][36][37]. For ...

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“…The interesting candidate states have been established including the valence bond crystal state [30][31][32] and the featureless Mott insulator 33 as possible groundstates. Beside these topological trivial phases, a Z 2 topological phase may survive in an easyaxis kagome system 34 , which is currently under debate 35 . It is theoretically proposed that FQH state can also emerge at 1/3 filling 36,37 , however, so far this possibility has not been established by controlled theoretical methods beyond mean-field approaches.…”

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confidence: 99%

Interaction-driven fractional quantum Hall state of hard-core bosons on kagome lattice at one-third filling

2016

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There has been a growing interest in realizing topologically nontrivial states of matter in band insulators, where a quantum Hall effect can appear as an intrinsic property of the band structure. While the on-going progress is under way with a number of directions, the possibility of realizing novel interaction-generated topological phases, without the requirement of a nontrivial invariant encoded in single-particle wavefunction or band structure, can significantly extend the class of topological materials and is thus of great importance. Here, we show an interaction-driven topological phase emerging in an extended Bose-Hubbard model on kagome lattice, where the non-interacting band structure is topological trivial with zero Berry curvature in the Brillouin zone. By means of an unbiased state-of-the-art density-matrix renormalization group technique, we identify that the groundstate in a broad parameter region is equivalent to a bosonic fractional quantum Hall Laughlin state, based on the characterization of universal properties including groundstate degeneracy, edge excitations and anyonic quasiparticle statistics. Our work paves a way of finding interaction induced topological phase at the phase boundary of conventionally ordered solid phases.

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Magnetization plateaus of an easy-axis kagome antiferromagnet with extended interactions

Cited by 22 publications

References 71 publications

Quantum Spin Liquid with Even Ising Gauge Field Structure on Kagome Lattice

Quantum Spin Liquid with Even Ising Gauge Field Structure on Kagome Lattice

Correlated spin liquids in the quantum kagome antiferromagnet at finite field: a renormalization group analysis

Interaction-driven fractional quantum Hall state of hard-core bosons on kagome lattice at one-third filling

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