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Distinct Spin Liquids and their Transitions in Spin-1/2 XXZ Kagome Antiferromagnets
By using the density matrix renormalization group, we study the spin-liquid
phases of spin- XXZ kagome antiferromagnets. We find that the emergence of
spin liquid phase does not depend on the anisotropy of the XXZ interaction. In
particular, the two extreme limits---Ising (strong interaction) and XY
(zero interaction)---host the same spin-liquid phases as the isotropic
Heisenberg model. Both the time-reversal-invariant spin liquid and the chiral
spin liquid with spontaneous time-reversal symmetry breaking are obtained. We
show they evolve continuously into each other by tuning the second- and
third-neighbor interactions. At last, we discuss the possible implication of
our results on the nature of spin liquid in nearest neighbor XXZ kagome
antiferromagnets, including the most studied nearest neighbor spin- kagome
anti-ferromagnetic Heisenberg model
Stability of the spin- kagome ground state with breathing anisotropy
We numerically study the spin- breathing kagome lattice. In this
variation of the kagome Heisenberg antiferromagnet, the spins belonging to
upward and downward facing triangles have different coupling strengths. Using
the density matrix renormalization group (DMRG) method and exact
diagonalization, we show that the kagome antiferromagnet spin liquid is
extremely robust to this anisotropy. Materials featuring this anisotropy -- and
especially the recently studied vanadium compound
(DQVOF) -- may thus be very good candidates to realize the much studied kagome
spin liquid. Further, we closely examine the limit of strong breathing
anisotropy and find indications of a transition to a nematic phase.Comment: 12 pages, 15 figure
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