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Title: Distinct-symmetry spin-liquid states and phase diagram of the Kitaev-Hubbard model

Authors:
; ;
Publication Date:
Sponsoring Org.:
USDOE
OSTI Identifier:
1180636
Grant/Contract Number:
FG02-99ER45747
Resource Type:
Journal Article: Publisher's Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 90; Journal Issue: 7; Journal ID: ISSN 1098-0121
Publisher:
American Physical Society
Country of Publication:
United States
Language:
English

Citation Formats

Liang, Long, Wang, Ziqiang, and Yu, Yue. Distinct-symmetry spin-liquid states and phase diagram of the Kitaev-Hubbard model. United States: N. p., 2014. Web. doi:10.1103/PhysRevB.90.075119.
Liang, Long, Wang, Ziqiang, & Yu, Yue. Distinct-symmetry spin-liquid states and phase diagram of the Kitaev-Hubbard model. United States. doi:10.1103/PhysRevB.90.075119.
Liang, Long, Wang, Ziqiang, and Yu, Yue. Mon . "Distinct-symmetry spin-liquid states and phase diagram of the Kitaev-Hubbard model". United States. doi:10.1103/PhysRevB.90.075119.
@article{osti_1180636,
title = {Distinct-symmetry spin-liquid states and phase diagram of the Kitaev-Hubbard model},
author = {Liang, Long and Wang, Ziqiang and Yu, Yue},
abstractNote = {},
doi = {10.1103/PhysRevB.90.075119},
journal = {Physical Review B},
number = 7,
volume = 90,
place = {United States},
year = {Mon Aug 11 00:00:00 EDT 2014},
month = {Mon Aug 11 00:00:00 EDT 2014}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record at 10.1103/PhysRevB.90.075119

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  • We study the quantum phase transition between the insulating and the globally coherent superfluid phases in the Bose-Hubbard model with T{sub 3} structure, the 'dice lattice'. Even in the absence of any frustration the superfluid phase is characterized by modulation of the order parameter on the different sublattices of the T{sub 3} structure. The zero-temperature critical point as a function of magnetic field shows the characteristic 'butterfly' form. At full frustration the superfluid region is strongly suppressed. In addition, due to the existence of the Aharonov-Bohm cages at f=1/2, we find some evidence for the existence of an intermediate insulatingmore » phase characterized by a zero superfluid stiffness but finite compressibility. In this intermediate phase bosons are localized due to the external frustration and the topology of the T{sub 3} lattice. We name this new phase the Aharonov-Bohm insulator. In the presence of charge frustration the phase diagram acquires the typical lobe structure. The form and hierarchy of the Mott insulating states with fractional fillings are dictated by the particular topology of the T{sub 3} lattice. The results presented were obtained by a variety of analytical methods: mean-field and variational techniques to approach the phase boundary from the superconducting side and a strongly coupled expansion appropriate for the Mott insulating region. In addition we performed quantum Monte Carlo simulations of the corresponding (2+1)-dimensional XY model to corroborate the analytical calculations with a more accurate quantitative analysis. We finally discuss experimental realization of the T{sub 3} lattice both with optical lattices and with Josephson junction arrays.« less
  • The global phase diagram of a doped Kitaev-Heisenberg model is studied using anmore » $SU(2)$ slave-boson mean-field method. Near the Kitaev limit, $p$$-wave superconducting states which break the time-reversal symmetry are stabilized as reported by You {\it et al.} [Phys. Rev. B {\bf 86}, 085145 (2012)] irrespective of the sign of the Kitaev interaction. By further doping, a $$d$-wave superconducting state appears when the Kitaev interaction is antiferromagnetic, while another $p$-wave superconducting state appears when the Kitaev interaction is ferromagnetic. This $p$-wave superconducting state does not break the time-reversal symmetry as reported by Hyart {\it et al.} [Phys. Rev. B {\bf 85}, 140510 (2012)], and such a superconducting state also appears when the antiferromagnetic Kitaev interaction and the ferromagnetic Heisenberg interaction compete. This work, thus, demonstrates the clear difference between the antiferromagnetic Kitaev model and the ferromagnetic Kitaev model when carriers are doped while these models are equivalent in the undoped limit, and how novel superconducting states emerge when the Kitaev interaction and the Heisenberg interaction compete.« less