64 research outputs found
Quantum Destruction of Spiral Order in Two Dimensional Frustrated Magnets
We study the fate of spin-1/2 spiral-ordered two-dimensional quantum
antiferromagnets that are disordered by quantum fluctuations. A crucial role is
played by the topological point defects of the spiral phase, which are known to
have a Z2 character. Previous works established that a nontrivial quantum
spin-liquid phase results when the spiral is disordered without proliferating
the Z2 vortices. Here, we show that when the spiral is disordered by
proliferating and condensing these vortices, valence-bond solid ordering occurs
due to quantum Berry phase effects. We develop a general theory for this latter
phase transition and apply it to a lattice model. This transition potentially
provides a new example of a Landau-forbidden deconfined quantum critical point.Comment: 12 pages (Extended and appendix added
Theory of tunneling conductance of graphene NIS junctions
We calculate the tunneling conductance of a graphene normal
metal-insulator-superconductor (NIS) junction with a barrier of thickness
and with an arbitrary voltage applied across the barrier region. We
demonstrate that the tunneling conductance of such a NIS junction is an
oscillatory function of both and . We also show that the periodicity
and amplitude of such oscillations deviate from their universal values in the
thin barrier limit as obtained in earlier work [Phys. Rev. Lett. {\bf 97},
217001 (2006)] and become a function of the applied voltage . Our results
reproduces the earlier results on tunneling conductance of such junctions in
the thin [Phys. Rev. Lett. {\bf 97}, 217001 (2006)] and zero [Phys. Rev. Lett.
{\bf 97}, 067007 (2006)] barrier limits as special limiting cases. We discuss
experimental relevance of our results.Comment: Revised versio
Z2 topological liquid of hard-core bosons on a kagome lattice at 1/3 filling
We consider hard-core bosons on the kagome lattice in the presence of short
range repulsive interactions and focus particularly on the filling factor 1/3.
In the strongly interacting limit, the low energy excitations can be described
by the quantum fully packed loop coverings on the triangular lattice. Using a
combination of tensor-product state based methods and exact diagonalization
techniques, we show that the system has an extended Z2 topological liquid phase
as well as a lattice nematic phase. The latter breaks lattice rotational
symmetry. By tuning appropriate parameters in the model, we study the quantum
phase transition between the topological and the symmetry broken phases. We
construct the critical theory for this transition using a mapping to an Ising
gauge theory that predicts the transition to belong to the O(3) universality
class.Comment: 12 pages, 10 figure
Temperature dependence of butterfly effect in a classical many-body system
We study the chaotic dynamics in a classical many-body system of interacting
spins on the kagome lattice. We characterise many-body chaos via the butterfly
effect as captured by an appropriate out-of-time-ordered correlator. Due to the
emergence of a spin liquid phase, the chaotic dynamics extends all the way to
zero temperature. We thus determine the full temperature dependence of two
complementary aspects of the butterfly effect: the Lyapunov exponent, ,
and the butterfly speed, , and study their interrelations with usual
measures of spin dynamics such as the spin-diffusion constant, and
spin-autocorrelation time, . We find that they all exhibit power law
behaviour at low temperature, consistent with scaling of the form and . The vanishing of is
parametrically slower than that of the corresponding quantum bound, , raising interesting questions regarding the semi-classical limit of such
spin systems.Comment: 6+4 pages, 4+8 figures, ancillary files include videos of the
dynamic
Phases and phase transitions of a perturbed Kekul\'e-Kitaev model
We study the quantum spin liquid phase in a variant of the Kitaev model where
the bonds of the honeycomb lattice are distributed in a Kekul\'e pattern. The
system supports gapped and gapless Z_2 quantum spin liquids with interesting
differences from the original Kitaev model, the most notable being a gapped Z_2
spin liquid on a Kagome lattice. Perturbing the exactly solvable model with
antiferromagnetic Heisenberg perturbations, we find a magnetically ordered
phase stabilized by a quantum `order by disorder' mechanism, as well as an
exotic continuous phase transition between the topological spin liquid and this
magnetically ordered phase. Using a combination of field theory and Monte-Carlo
simulations, we find that the transition likely belongs to the 3D-XYxZ_2
universality class.Comment: 15 pages, 11 figure
Elastic signatures of a spin-nematic
We study the elastic signatures -- renormalisation of sound velocity and
magnetostriction -- of the spin-nematic phase of a spin- magnet on a
triangular lattice described by the bilinear-biquadratic spin Hamiltonian. We
show that at low temperatures, the scattering of the acoustic phonons from the
Goldstone modes of the nematic phase lead to a powerlaw renormalisation of the
fractional change in the sound velocity, , as a function of temperature,
, i.e. as opposed to the same in the high
temperature paramagnet where . At the generically
discontinuous nematic transition, there is a jump in magnetostriction as well
as along with enhanced dependence on the magnetic field,
, near the nematic transition. These signatures can help positively
characterise the spin-nematic in general and in particular the realisation of
such a phase in the candidate material NiGaS
Signatures of spin-triplet excitations in optical conductivity of valence bond solids
We show that the optical responses below the Mott gap can be used to probe
the spin-triplet excitations in valence bond solid (VBS) phases in Mott
insulators. The optical conductivity in this regime arises due to the
electronic polarization mechanism via virtual electron hopping processes. We
apply this mechanism to the Hubbard model with spin-orbit couplings and/or the
corresponding spin model with significant Dzyaloshinskii-Moriya (DM)
interactions, and compute the optical conductivity of VBS states on both ideal
and deformed Kagome lattices. In case of the deformed Kagome lattice, we study
the antiferromagnet, RbCuSnF with the pinwheel VBS state. In
case of the ideal Kagome lattice, we explore the optical conductivity
signatures of the spin-triplet excitations for three VBS states with (1) a
12-site unit cell, (2) a 36-site unit cell with six-fold rotation symmetry, and
(3) a 36-site unit cell with three-fold rotation symmetry, respectively. We
find that increasing the DM interactions generally leads to broad and smooth
features in the optical conductivity with interesting experimental
consequences. The optical conductivity reflects the features of the
spin-triplet excitations that can be measured in future experiments.Comment: Updated with the published version. 24 pages and 8 figure
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