3,701 research outputs found
The Goldman symplectic form on the PGL(V)-Hitchin component
This article is the second of a pair of articles about the Goldman symplectic
form on the PGL(V )-Hitchin component. We show that any ideal triangulation on
a closed connected surface of genus at least 2, and any compatible bridge
system determine a symplectic trivialization of the tangent bundle to the
Hitchin component. Using this, we prove that a large class of flows defined in
the companion paper [SWZ17] are Hamiltonian. We also construct an explicit
collection of Hamiltonian vector fields on the Hitchin component that give a
symplectic basis at every point. These are used to show that the global
coordinate system on the Hitchin component defined iin the companion paper is a
global Darboux coordinate system.Comment: 95 pages, 24 figures, Citations update
Double Andreev Reflections in Type-II Weyl Semimetal-Superconductor Junctions
We study the Andreev reflections (ARs) at the interface of the type-II Weyl
semimetal-superconductor junctions and find double ARs when the superconductor
is put in the Weyl semimetal band tilting direction, which is similar to the
double reflections of light in anisotropic crystals. The directions of the
double (retro and specular) ARs are symmetric about the normal due to the
hyperboloidal Fermi surface near the Weyl nodes, but with different AR
amplitudes depending on the direction and energy of the incident electron. When
the normal direction of the Weyl semimetal-superconductor interface is changed
from parallel to perpendicular with the tilt direction, the double ARs
gradually evolve from one retro-AR and one specular AR, passing through double
retro-ARs, one specular AR and one retro-AR, into one retro AR and one normal
reflection, resulting in an anisotropic conductance which can be observed in
experiments.Comment: 12 pages, 7 figure
Operator fidelity susceptibility: an indicator of quantum criticality
We introduce the operator fidelity and propose to use its susceptibility for
characterizing the sensitivity of quantum systems to perturbations. Two typical
models are addressed: one is the transverse Ising model exhibiting a quantum
phase transition, and the other is the one dimensional Heisenberg spin chain
with next-nearest-neighbor interactions, which has the degeneracy. It is
revealed that the operator fidelity susceptibility is a good indicator of
quantum criticality regardless of the system degeneracy.Comment: Four pages, two figure
Synthesis, Physical Properties and Biradical Characters of Zethrene-based Polycylic Hydrocarbons
Ph.DDOCTOR OF PHILOSOPH
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