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Title: Elaborating the phase diagram of spin-1 anyonic chains

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Journal Article: Published Article
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SciPost Physics
Additional Journal Information:
Journal Volume: 2; Journal Issue: 1; Related Information: CHORUS Timestamp: 2017-07-28 04:44:52; Journal ID: ISSN 2542-4653
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Vernier, Eric, Saleur, Hubert, and Jacobsen, Jesper. Elaborating the phase diagram of spin-1 anyonic chains. Country unknown/Code not available: N. p., 2017. Web. doi:10.21468/SciPostPhys.2.1.004.
Vernier, Eric, Saleur, Hubert, & Jacobsen, Jesper. Elaborating the phase diagram of spin-1 anyonic chains. Country unknown/Code not available. doi:10.21468/SciPostPhys.2.1.004.
Vernier, Eric, Saleur, Hubert, and Jacobsen, Jesper. Tue . "Elaborating the phase diagram of spin-1 anyonic chains". Country unknown/Code not available. doi:10.21468/SciPostPhys.2.1.004.
title = {Elaborating the phase diagram of spin-1 anyonic chains},
author = {Vernier, Eric and Saleur, Hubert and Jacobsen, Jesper},
abstractNote = {},
doi = {10.21468/SciPostPhys.2.1.004},
journal = {SciPost Physics},
number = 1,
volume = 2,
place = {Country unknown/Code not available},
year = {Tue Feb 21 00:00:00 EST 2017},
month = {Tue Feb 21 00:00:00 EST 2017}

Journal Article:
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Publisher's Version of Record at 10.21468/SciPostPhys.2.1.004

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  • Field-dependent specific heat and neutron scattering measurements were used to explore the antiferromagnetic S=(1/2) chain compound CuCl{sub 2}{center_dot}2((CD{sub 3}){sub 2}SO). At zero field the system acquires magnetic long-range order below T{sub N}=0.93 K with an ordered moment of 0.44{micro}{sub B}. An external field along the b axis strengthens the zero-field magnetic order, while fields along the a and c axes lead to a collapse of the exchange stabilized order at {micro}{sub 0}H{sub c}=6 T and {micro}{sub 0}H{sub c}=4 T (extrapolated to zero temperature) and the formation of an energy gap in the excitation spectrum. We relate the field-induced gap tomore » the presence of a staggered g-tensor and Dzyaloshinskii-Moriya interactions, which lead to effective staggered fields for magnetic fields applied along the a and c axes. Competition between anisotropy, interchain interactions, and staggered fields leads to a succession of three phases as a function of field applied along the c axis. For fields greater than {micro}{sub 0}H{sub c}, we find a magnetic structure that reflects the symmetry of the staggered fields. The critical exponent, beta, of the temperature driven phase transitions are indistinguishable from those of the three-dimensional Heisenberg magnet, while measurements for transitions driven by quantum fluctuations produce larger values of beta.« less
  • A general phase diagram for anisotropic quantum spin chains is presented for the first time. The way in which the classical limit is approached is suggested. The nature of the instantons in these systems is discussed. 17 references, 3 figures.
  • We find nearly all the exact ground states of a mixture of two species of spin-1 atoms with both interspecies and intraspecies spin exchanges in the absence of a magnetic field. The quantum phase diagram in the three-dimensional parameter space and its two-dimensional cross sections are described. The boundaries where the ground states are either continuous or discontinuous are determined, with the latter identified as where quantum phase transitions take place. The two species are always disentangled if the interspecies spin coupling is ferromagnetic or zero. Quantum phase transitions occur when the interspecies spin coupling varies between antiferromagnetic and zeromore » or ferromagnetic while the two intraspecies spin couplings both remain ferromagnetic. On the other hand, by tuning the interspecies spin coupling from zero to antiferromagnetic and then back to zero, one can circumvent the quantum phase transition due to sign change of the intraspecies spin coupling of a single species, which is spin decoupled with the other species with ferromagnetic intraspecies spin coupling. Generally speaking, interplay among interspecies and two intraspecies spin exchanges significantly enriches quantum phases of spinor atomic gases.« less
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  • For this research, we study the spin-1/2 Heisenberg model on the triangular lattice with the nearest-neighbor J 1 > 0 , the next-nearest-neighobr J 2 > 0 Heisenberg interactions, and the additional scalar chiral interaction Jχ (more » $$\vec{S}$$ i × $$\vec{S}$$ j ) · $$\vec{S}$$ k for the three spins in all the triangles using large-scale density matrix renormalization group calculation on cylinder geometry. With increasing J 2 (J 2 / J 1 ≤ 0.3 ) and Jχ (Jχ / J 1 ≤ 1.0 ) interactions, we establish a quantum phase diagram with the magnetically ordered 120°, stripe, and noncoplanar tetrahedral phase. In between these magnetic order phases, we find a chiral spin liquid (CSL) phase, which is identified as a ν = 1/2 bosonic fractional quantum Hall state with possible spontaneous rotational symmetry breaking. By switching on the chiral interaction, we find that the previously identified spin liquid in the J 1 - J 2 triangular model (0.08 ≲ J 2 / J 1 ≲ 0.15) shows a phase transition to the CSL phase at very small Jχ. We also compute the spin triplet gap in both spin liquid phases, and our finite-size results suggest a large gap in the odd topological sector but a small or vanishing gap in the even sector. Lastly, we discuss the implications of our results on the nature of the spin liquid phases.« less
    Cited by 3