16,178 research outputs found
Modular matrices from universal wave function overlaps in Gutzwiller-projected parton wave functions
We implement the universal wave function overlap (UWFO) method to extract
modular and matrices for topological orders in Gutzwiller-projected
parton wave functions (GPWFs). The modular and matrices generate a
projective representation of on the degenerate-ground-state
Hilbert space on a torus and may fully characterize the 2+1D topological
orders, i.e. the quasi-particle statistics and chiral central charge (up to
bosonic quantum Hall states). We used the variational Monte Carlo method
to computed the and matrices of the chiral spin liquid (CSL)
constructed by the GPWF on the square lattice, and confirm that the CSL carries
the same topological order as the bosonic Laughlin state. We
find that the non-universal exponents in UWFO can be small and direct numerical
computation is able to be applied on relatively large systems. We also discuss
the UWFO method for GPWFs on other Bravais lattices in two and three dimensions
by using the Monte Carlo method. UWFO may be a powerful method to calculate the
topological order in GPWFs.Comment: 5 pages with 3 figure
Scalar Boundary Conditions in Hyperscaling Violating Geometry
We study the possible boundary conditions of scalar field modes in a
hyperscaling violation(HV) geometry with Lifshitz dynamical exponent and hyperscaling violation exponent . For
the case with , we show that in the parameter range with , the boundary
conditions have different types, including the Neumann, Dirichlet and Robin
conditions, while in the range with , only Dirichlet type
condition can be set. In particular, we further confirm that the mass of the
scalar field does not play any role in determining the possible boundary
conditions for , which has been addressed in Ref. \cite{1201.1905}.
Meanwhile, we also do the parallel investigation in the case with .
We find that for , three types of boundary conditions are available, but
for , only one type is available.Comment: 19 page
Entanglement Entropy as a Probe of the Proximity Effect in Holographic Superconductors
We study the entanglement entropy as a probe of the proximity effect of a
superconducting system by using the gauge/gravity duality in a fully
back-reacted gravity system. While the entanglement entropy in the
superconducting phase is less than the entanglement entropy in the normal
phase, we find that near the contact interface of the superconducting to normal
phase the entanglement entropy has a different behavior due to the leakage of
Cooper pairs to the normal phase. We verify this behavior by calculating the
conductivity near the boundary interface.Comment: 10 pages, 7 figures, extended version to be published in JHE
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