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Title: Intraband electron focusing in bilayer graphene

Author: ; ; ;

Date: 2012

Submitted: 2020-08-11

(2012)

We propose an implementation of a valley selective electronic Veselago lens in bilayer graphene. We demonstrate that in the presence of an appropriately oriented potential step, low-energy electrons radiating from a point ...

Title: Chiral currents in gold nanotubes

Author: ; ;

Date: 2010

Submitted: 2020-08-11

(2010)

Results are presented for the electron current in gold chiral nanotubes (AuNTs). Starting from the band structure of (4,3) and (5,3) AuNTs, we find that the magnitude of the chiral currents are greater than those found in ...

Title: Catastrophe optics of caustics in single and bilayer graphene: Fine structure of caustics

Author: ; ; ; ;

Date: 2010

Submitted: 2020-08-11

(2010)

We theoretically study the scattering of a plane wave of a
ballistic electron on a circular n-p junction (NPJ) in single
and bilayer graphene. We compare the exact wave function inside
the junction to that obtained from ...

Title: Electronic standing waves on the surface of the topological insulator Bi2Te3

Author: ; ;

Date: 2012

Submitted: 2020-04-06

(2012)

A line defect on a metallic surface induces standing waves in the electronic local density of states (LDOS). Asymptotically far from the defect, the wave number of the LDOS oscillations at the Fermi energy is usually equal ...

Title: Relation between Zitterbewegung and the charge conductivity, Berry curvature, and the Chern number of multiband systems

Author: ;

Date: 2010

Submitted: 2020-04-07

(2010)

We show that the charge conductivity for impurity-free multiband electronic systems can be expressed in terms of the nondiagonal elements of the Zitterbewegung amplitudes while the Berry curvature and the Chern number is ...

Title: Trigonal warping and anisotropic band splitting in monolayer graphene due to Rashba spin-orbit coupling

Author: ; ;

Date: 2010

Submitted: 2020-04-07

(2010)

We study the electronic band structure of monolayer graphene when Rashba spin-orbit coupling is present. We show that if the Rashba spin-orbit coupling is stronger than the intrinsic spin-orbit coupling, the low-energy ...

Title: Effect of sublattice asymmetry and spin-orbit interaction on out-of-plane spin polarization of photoelectrons

Author: ; ;

Date: 2011

Submitted: 2020-04-07

(2011)

We study theoretically the effect of spin-orbit coupling and sublattice asymmetry in graphene on the spin polarization of photoelectrons. We show that sublattice asymmetry in graphene not only opens a gap in the band ...

Title: Exploring the graphene edges with coherent electron focusing

Author: ; ; ;

Date: 2010

Submitted: 2020-04-07

(2010)

We study theoretically the coherent electron focusing in graphene nanoribbons. Using semiclassical and numerical tight-binding calculations we show that armchair edges give rise to equidistant peaks in the focusing spectrum. ...

Title: Effect of the band structure topology on the minimal conductivity for bilayer graphene with symmetry breaking

Author: ; ; ;

Date: 2012

Submitted: 2020-04-07

(2012)

Using the Kubo formula we develop a general and simple
expression for the minimal conductivity in systems described by
a 2×2 Hamiltonian. As an application we derive an analytical
expression for the minimal conductivity ...

Title: Diverging dc conductivity due to a flat band in disordered pseudospin-1 Dirac-Weyl fermions

Author: ; ; ; ; ; ;

Date: 2013

Submitted: 2020-04-07

(2013)

Several lattices, such as the dice or the Lieb lattice, possess Dirac cones and a flat band crossing the Dirac point, whose effective model is the pseudospin-1 Dirac-Weyl equation. We investigate the fate of the flat band ...

Title: Josephson current in ballistic superconductor-graphene systems

Author: ; ;

Date: 2010

Submitted: 2020-04-07

(2010)

We calculate the phase, the temperature and the junction length dependence of the supercurrent for ballistic graphene Josephson junctions. For low temperatures we find nonsinusoidal dependence of the supercurrent on the ...

Title: Caustics due to a negative refractive index in circular graphene p-n junctions

Author: ; ;

Date: 2007

Submitted: 2020-08-11

(2007)

We show that the wave functions form caustics in circular graphene
p-n
junctions which in the framework of geometrical optics can be
interpreted with a negative refractive index.

Title: Bound states in inhomogeneous magnetic field in graphene: Semiclassical approach

Author: ; ; ;

Date: 2008

Submitted: 2020-08-11

(2008)

We derive semiclassical quantization equations for graphene
monolayer
and bilayer systems where the excitations are confined by the
applied
inhomogeneous magnetic field. The importance of a semiclassical
phase,
a ...

Title: Oscillating chiral currents in nanotubes: A route to nanoscale magnetic test tubes

Author: ; ;

Date: 2008

Submitted: 2020-08-11

(2008)

With a view to optimizing the design of carbon-nanotube (CNT) windmills
and to maximizing the internal magnetic field generated by chiral
currents, we present analytical results for the group-velocity
components of an ...

Title: Spin-dependent electron-impurity scattering in two-dimensional electron systems

Author: ;

Date: 2008

Submitted: 2020-08-11

(2008)

We present a theoretical study of elastic spin-dependent
electron
scattering caused by a charged impurity in the vicinity of a
two-dimensional electron gas. We find that the symmetry
properties of
the spin-dependent ...

Title: Graphene Andreev billiards

Author: ; ;

Date: 2009

Submitted: 2020-08-11

(2009)

We studied the energy levels of graphene-based Andreev billiards consisting of a superconductor region on top of a monolayer graphene sheet. For the case of Andreev retroreflection we show that the graphene-based Andreev ...

Title: Electron flow in circular n-p junctions of bilayer graphene

Author: ; ;

Date: 2009

Submitted: 2020-08-11

(2009)

We present a theoretical study of electron wave functions in
ballistic circular n-p junctions of bilayer graphene. Similarly
to the case of a circular n-p junction of monolayer graphene, we
find that (i) the wave functions ...

Title: General theory of Zitterbewegung

Author: ;

Date: 2010

Submitted: 2020-08-11

(2010)

We derive a general and simple expression for the time dependence of the position operator of a multiband Hamiltonian with arbitrary matrix elements depending only on the momentum of the quasiparticle. Our result shows ...

Title: Uniform tiling with electrical resistors

Author: ; ;

Date: 2011

Submitted: 2020-08-11

(2011)

The electric resistance between two arbitrary nodes on any
infinite lattice structure of resistors that is a periodic
tiling of space is obtained. Our general approach is based on
the lattice Green's function of the ...

Title: Emergence of bound states in ballistic magnetotransport of graphene antidots

Author: ; ; ; ; ;

Date: 2014

Submitted: 2020-08-10

(2014)

An experimental method for detection of bound states around an
antidot formed from a hole in a graphene sheet is proposed by
measuring the ballistic two terminal conductances. In
particularly, we consider the effect of ...

Title: Multiple scattering theory for superconducting heterostructures

Author: ; ; ;

Date: 2015

Submitted: 2020-08-10

(2015)

Title: Transfer matrix approach for the Kerr and Faraday rotation in layered nanostructures

Author: ; ; ;

Date: 2016

Submitted: 2020-08-10

(2016)

To study the optical rotation of the polarization of light incident on multilayer systems consisting of atomically thin conductors and dielectric multilayers we present a general method based on transfer matrices. The ...

Title: Negative length orbits in normal-superconductor billiard systems

Author: ; ; ; ;

Date: 2000

Submitted: 2020-08-08

(2000)

The path-length spectra of mesoscopic systems including diffractive
scatterers and connected to a superconductor are studied theoretically.
We show that the spectra differ fundamentally from that of normal
systems due to ...

Title: Spectral determinant method for interacting N-body systems including impurities

Author: ; ;

Date: 2002

Submitted: 2020-08-08

(2002)

A general expression for the Green's function of a system of N particles (bosons/fermions) interacting by contact potentials, including impurities with Dirac-delta-type potentials, is derived. In one dimension for N>2 ...

Title: Excitation spectra for Andreev billiards of box and disk geometries

Author: ; ; ;

Date: 2002

Submitted: 2020-08-08

(2002)

We study Andreev billiards of box and disk geometries by matching the wave functions at the interface of the normal and the superconducting region using the exact solutions of the Bogoliubov-de Gennes equation. The mismatch ...

Title: Perturbation of infinite networks of resistors

Author: ; ;

Date: 2002

Submitted: 2020-08-08

(2002)

The resistance between arbitrary nodes of an infinite network of
resistors is calculated when the network is perturbed by removing one
bond from the perfect lattice. A relation is given between the
resistance and the lattice ...

Title: Proximity-induced subgaps in Andreev billiards

Author: ; ; ; ;

Date: 2002

Submitted: 2020-08-08

(2002)

We examine the density of states of an Andreev billiard and show that any billiard with a finite upper cutoff in the path length distribution P(s) will possess an energy gap on the scale of the Thouless energy. An exact ...

Title: Tunable Lyapunov exponent in inverse magnetic billiards

Author: ; ; ;

Date: 2003

Submitted: 2020-08-08

(2003)

The stability properties of the classical trajectories of charged particles are investigated in a two-dimensional inverse magnetic domain, where the magnetic field is zero inside the domain and constant outside. As an ...

Title: Logarithmic contribution to the density of states of rectangular Andreev billiards

Author: ; ; ;

Date: 2003

Submitted: 2020-08-08

(2003)

We demonstrate that the exact quantum mechanical calculations are in good agreement with the semiclassical predictions for rectangular Andreev billiards, and therefore for a large number of open channels it is sufficient ...

Title: Ring-shaped Andreev billiards in quantizing magnetic fields

Author: ; ; ; ;

Date: 2004

Submitted: 2020-08-08

(2004)

We present a detailed semiclassical study of a clean disk-shaped
insulator-normal-metal-superconductor hybrid system in a magnetic
field. It is based on an exact secular equation that we derived within
the microscopic ...

Title: Andreev bound states for a superconducting-ferromagnetic box

Author: ; ;

Date: 2004

Submitted: 2020-08-08

(2004)

Within the microscopic Bogoliubov-de Gennes formalism an exact quantization condition for Andreev bound states of the ferromagnetic-superconducting hybrid systems of box geometry is derived and a semiclassical formula for ...

Title: A simple model for the vibrational modes in honeycomb lattices

Author: ;

Date: 2004

Submitted: 2020-08-08

(2004)

The classical lattice dynamics of honeycomb lattices is studied in the
harmonic approximation. Interactions between nearest neighbours are
represented by springs connecting them. A short and necessary
introduction of the ...

Title: Non-local current correlations in ferromagnet/superconductor nanojunctions

Author: ; ;

Date: 2003

Submitted: 2020-08-08

(2003)

When two fully polarized ferromagnetic (F) wires with opposite
polarizations make contact with a spin-singlet superconductor, a
potential-induced current in wire 1 induces a non-local current
of equal magnitude and sign ...

Title: Andreev bound states for cake shape superconducting-normal systems

Author: ; ; ; ;

Date: 2004

Submitted: 2020-08-08

(2004)

The energy spectrum of cake shape normal-superconducting systems is
calculated by solving the Bogoliubov-de Gennes equation. We take into
account the mismatch in the effective masses and Fermi energies of the
normal and ...

Title: Electronic and spin properties of Rashba billiards

Author: ; ;

Date: 2004

Submitted: 2020-08-08

(2004)

Ballistic electrons confined to a billiard and subject to spin-orbit coupling of the Rashba-type are investigated, using both approximate semiclassical and exact quantum-mechanical methods. We focus on the low-energy part ...

Title: Geometry dependence of the conductance oscillations of monovalent atomic chains

Author: ; ; ; ;

Date: 2007

Submitted: 2020-08-08

(2007)

Using a tight binding model we calculate the conductance of
monovalent atomic chains for different contact geometries. The
leads connected to the chains are modelled as semi-infinite fcc
lattices with different orientations ...

Title: Bound states in Andreev billiards with soft walls

Author: ; ; ; ;

Date: 2005

Submitted: 2020-08-08

(2005)

The energy spectrum and the eigenstates of a rectangular quantum dot
containing soft potential walls in contact with a superconductor are
calculated by solving the Bogoliubov-de Gennes equation. We compare the
quantum ...

Title: Quantum-classical correspondence in the wave functions of Andreev billiards

Author: ; ; ;

Date: 2006

Submitted: 2020-08-08

(2006)

We present a classical and quantum mechanical study of an Andreev
billiard with a chaotic normal dot. We demonstrate that the nonexact
velocity reversal and the diffraction at the edges of the
normal-superconductor contact ...

Title: Nonuniversal behavior of the parity effect in monovalent atomic wires

Author: ; ; ; ; ; ;

Date: 2006

Submitted: 2020-08-08

(2006)

We propose a mixed analytical-ab initio method for the accurate
calculation of the conductance in monovalent atomic wires. The method
relies on the most general formula for ballistic transport through a
monovalent wire, ...

Title: Rashba billiards

Author: ; ; ;

Date: 2006

Submitted: 2020-08-08

(2006)

We study the energy levels of non-interacting electrons confined
to
move in two-dimensional billiard regions and having a spin-
dependent
dynamics due to a finite Rashba spin splitting. The free space
Green's
function ...

Title: Quantized invariant tori in Andreev billiards of mixed phase space

Author: ; ; ;

Date: 2006

Submitted: 2020-08-08

(2006)

Comparing the results of exact quantum calculations and those obtained
from the Einstein-Brillouin-Keller-like quantization scheme of
Silvestrov [Phys. Rev. Lett. 90, 116801 (2003)] we show that the
spectrum of Andreev ...

Title: Andreev drag effect via magnetic quasiparticle focusing in normal-superconductor nanojunctions

Author: ; ; ;

Date: 2006

Submitted: 2020-08-08

(2006)

We study a hybrid normal-superconductor (NS) pi junction in which the
nonlocal current can be orders of magnitude larger than that in earlier
proposed systems. We calculate the electronic transport of this NS
hybrid system ...

Title: Two-dimensional electron scattering in regions of nonuniform spin-orbit coupling

Author: ; ;

Date: 2006

Submitted: 2020-08-08

(2006)

We present a theoretical study of elastic spin-dependent
electron
scattering caused by a nonuniform Rashba spin-orbit coupling
strength.
Using the spin-generalized method of partial waves the complete
scattering wave ...

Title: Unified description of Zitterbewegung for spintronic, graphene, and superconducting systems

Author: ;

Date: 2006

Submitted: 2020-08-08

(2006)

We present a unified treatment of Zitterbewegung phenomena for a wide class of systems including spintronic, graphene, and superconducting systems. We derive an explicit expression for the time dependence of the position ...

Title: Minimal longitudinal dc conductivity of perfect bilayer graphene

Author:

Date: 2007

Submitted: 2020-08-08

(2007)

We calculated the minimal longitudinal conductivity in prefect
single-layer and bilayer graphene by extending the two methods
developed for Dirac fermion gas by A. W. W. Ludwig in Phys. Rev. B 50,
7526 (1994). Using the ...

Title: Weak localization correction to the density of transmission eigenvalues in the presence of magnetic field and spin-orbit coupling for a chaotic quantum dot

Author: ;

Date: 2006

Submitted: 2020-08-08

(2006)

We calculated the weak localization correction to the density of the transmission eigenvalues in the case of chaotic quantum dots in the framework of random matrix theory including the parametric dependence on the magnetic ...

Title: Effect of symmetry class transitions on the shot noise in chaotic quantum dots

Author: ;

Date: 2007

Submitted: 2020-08-08

(2007)

Using the random matrix theory (RMT) approach, we calculated the weak
localization correction to the shot noise power in a chaotic cavity as
a function of magnetic field and spin-orbit coupling. We found a
remarkably simple ...

Title: Nonthermal broadening in the conductance of double quantum dot structures

Author: ; ; ; ;

Date: 2007

Submitted: 2020-08-08

(2007)

We study the transport properties of a double quantum dot (DQD)
molecule at zero and at finite temperature. The properties of
the
zero-temperature conductance depend on whether the level
attraction
between the symmetric ...

Title: Skew scattering due to intrinsic spin-orbit coupling in a two-dimensional electron gas

Author: ;

Date: 2007

Submitted: 2020-08-08

(2007)

We present the generalization of the two-dimensional quantum
scattering
formalism to systems with Rashba spin-orbit coupling. Using
symmetry
considerations, we show that the differential scattering cross
section
depends ...

Title: Role of the trigonal warping on the minimal conductivity of bilayer graphene

Author: ; ;

Date: 2007

Submitted: 2020-08-08

(2007)

Using a reformulated Kubo formula we calculate the zero-energy minimal
conductivity of bilayer graphene taking into account the small but
finite trigonal warping. We find that the conductivity is independent
of the strength ...

Title: Diffraction in the Semiclassical Description of Mesoscopic Devices

Author: ; ; ;

Date: 1997

Submitted: 2020-08-07

(1997)

Title: Crossover from regular to chaotic behavior in the conductance of periodic quantum chains

Author: ; ;

Date: 1998

Submitted: 2020-08-07

(1998)

The conductance of a waveguide containing a finite number of periodically placed identical pointlike impurities is investigated. It has been calculated as a function of both the impurity strength and the number of impurities ...

Title: Application of the lattice Green's function for calculating the resistance of an infinite network of resistors

Author:

Date: 2000

Submitted: 2020-08-07

(2000)

The resistance between two arbitrary grid points of several infinite
lattice structures of resistors is calculated by using lattice Green's
functions. The resistance for d dimensional hypercubic, rectangular,
triangular, ...