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Recent advances in open billiards with some open problems
CP Dettmann - Frontiers in the study of chaotic dynamical systems …, 2011 - World Scientific
Much recent interest has focused on" open" dynamical systems, in which a classical map or
flow is considered only until the trajectory reaches a" hole", at which the dynamics is no …
flow is considered only until the trajectory reaches a" hole", at which the dynamics is no …
Random-matrix theory of thermal conduction in superconducting quantum dots
JP Dahlhaus, B Béri, CWJ Beenakker - Physical Review B—Condensed Matter …, 2010 - APS
We calculate the probability distribution of the transmission eigenvalues T n of Bogoliubov
quasiparticles at the Fermi level in an ensemble of chaotic Andreev quantum dots. The four …
quasiparticles at the Fermi level in an ensemble of chaotic Andreev quantum dots. The four …
Characteristic energies, transition temperatures, and switching effects in clean SNS graphene nanostructures
We study proximity effects in clean nanoscale superconductor–normal-metal–
superconductor (S∣ N∣ S) graphene heterostructures using a self-consistent numerical …
superconductor (S∣ N∣ S) graphene heterostructures using a self-consistent numerical …
Localised States of Fabry-Perot Type in Graphene
VV Zalipaev, DM Forrester… - New Progress on …, 2013 - books.google.com
Graphene has been spoken of as a"" wonder material"'and described as paradigm shifting in
the field of condensed matter physics [1]. The exceptional behavior of single layer graphene …
the field of condensed matter physics [1]. The exceptional behavior of single layer graphene …
Formation of interface bound states on a graphene-superconductor junction in the presence of charge inhomogeneities
Interface bound states have been theoretically predicted to appear at isolated graphene-
superconductor junctions. These states are formed at the interface due to the interplay …
superconductor junctions. These states are formed at the interface due to the interplay …
High-energy localized eigenstates in a Fabry–Perot graphene resonator in a magnetic field
VV Zalipaev - Journal of Physics A: Mathematical and Theoretical, 2012 - iopscience.iop.org
A semiclassical analysis of the high-energy eigenstates of Dirac fermions inside a graphene
monolayer nanoribbon resonator of Fabry–Perot type in a magnetic field with zigzag …
monolayer nanoribbon resonator of Fabry–Perot type in a magnetic field with zigzag …
Distribution of Level Spacing Ratios in Random Matrix Theory and Chaotic Quantum Systems: Variants and Applications
SH TEKUR - 2019 - dr.iiserpune.ac.in
Quantum systems with classically chaotic counterparts are studied in the realm of quantum
chaos. A popular indicator of quantum chaos are the level spacing statistics, whose …
chaos. A popular indicator of quantum chaos are the level spacing statistics, whose …
Josephson current in ballistic graphene Corbino disk
Abstract We solve Dirac-Bogoliubov-De-Gennes (DBdG) equation in a superconductor-
normal graphene-superconductor (SGS) junction with Corbino disk structure to investigate …
normal graphene-superconductor (SGS) junction with Corbino disk structure to investigate …
A quantum theory for the excitation spectrum of a rectangular Andreev billiard
JSE Ortiz, RE Lagos, H Belich, LS Amorim… - Journal of Physics …, 2015 - iopscience.iop.org
We consider a N–S box system consisting of a rectangular conductor coupled to a
superconductor. The Green functions are constructed by solving the Bogoliubov-de Gennes …
superconductor. The Green functions are constructed by solving the Bogoliubov-de Gennes …
[PDF][PDF] Random-matrix theory and stroboscopic models of topological insulators and
JP Dahlhaus - 2012 - scholarlypublications …
Considering what we know about Nature, it is quite fascinating how well it can be described
by complex mathematical concepts. Among the most impressive examples might well be …
by complex mathematical concepts. Among the most impressive examples might well be …