197 research outputs found
Electron-vibron coupling in suspended nanotubes
We consider the electron-vibron coupling in suspended nanotube quantum dots.
Modelling the tube as an elastic medium, we study the possible coupling
mechanism for exciting the stretching mode in a single-electron-transistor
setup. Both the forces due to the longitudinal and the transverse fields are
included. The effect of the longitudinal field is found to be too small to be
seen in experiment. In contrast, the transverse field which couple to the
stretching mode via the bending of the tube can in some cases give sizeable
Franck-Condon factors. However, the length dependence is not compatible with
recent experiments [Sapmaz et al. cond-mat/0508270].Comment: 12 pages, 4 figure
Tunneling characteristic of a chain of Majorana bound states
We consider theoretically tunneling characteristic of a junction between a
normal metal and a chain of coupled Majorana bound states generated at
crossings between topological and non-topological superconducting sections, as
a result of, for example, disorder in nanowires. While an isolated Majorana
state supports a resonant Andreev process, yielding a zero bias differential
conductance peak of height 2e^2/h, the situation with more coupled Majorana
states is distinctively different with both zeros and 2e^2/h peaks in the
differential conductance. We derive a general expression for the current
between a normal metal and a network of coupled Majorana bound states and
describe the differential conductance spectra for a generic set of situations,
including regular, disordered, and infinite chains of bound states.Comment: 6 pages, 4 figure
Localized plasmons in point contacts
Using a hydrodynamic model of the electron fluid in a point contact geometry
we show that localized plasmons are likely to exist near the constriction. We
attempt to relate these plasmons with the recent experimental observation of
deviations of the quantum point contact conductance from ideal integer
quantization. As a function of temperature this deviation exhibits an activated
behavior, exp(-T_a/T), with a density dependent activation temperature T_a of
the order of 2 K. We suggest that T_a can be identified with the energy needed
to excite localized plasmons, and we discuss the conductance deviations in
terms of a simple theoretical model involving quasiparticle lifetime broadening
due to coupling to the localized plasmons.Comment: 5 pages (Latex) including 1 postscript figur
Using hybrid topological-spin qubit systems for two-qubit-spin gates
We investigate a hybrid quantum system involving spin qubits, based on the
spins of electrons confined in quantum dots, and topological qubits, based on
Majorana fermions. In such a system, gated control of the charge on the quantum
dots allows transfer of quantum information between the spin and topological
qubits, and the topological system can be used to facilitate transfer of spin
qubits between spatially separated quantum dots and to initialize entangled
spin-qubit pairs. Here, we show that the coupling to the topological system
also makes it possible to perform entangling two-qubit gates on spatially
separated spin qubits. The two-qubit gates are based on a combination of
topologically protected braiding operations, gate-controlled charge transfer
between the dots and edge Majorana modes, and measurements of the state of the
topological qubits.Comment: 7 pages, 1 figure. Published versio
Emerging Dirac and Majorana fermions for carbon nanotubes with proximity-induced pairing and spiral magnetic field
We study the low-energy bandstructure of armchair and small-bandgap
semiconducting carbon nanotubes with proximity-induced superconducting pairing
when a spiral magnetic field creates strong effective spin-orbit interactions
from the Zeeman term and a periodic potential from the orbital part. We find
that gapless Dirac fermions can be generated by variation of a single
parameter. For a semiconducting tube with the field in the same plane, a
non-degenerate zero mode at momentum k=0 can be induced, allowing for the
generation of topologically protected Majorana fermion end states.Comment: To appear in PR
Scheme to measure Majorana fermion lifetimes using a quantum dot
We propose a setup to measure the lifetime of the parity of a pair of
Majorana bound states. The proposed experiment has one edge Majorana state
tunnel coupled to a quantum dot, which in turn is coupled to a metallic
electrode. When the Majorana Fermions overlap, even a small relaxation rate
qualitatively changes the non-linear transport spectrum, and for strong overlap
the lifetime can be read off directly from the height of a current peak. This
is important for the usage of Majorana Fermions as a platform for topological
quantum computing, where the parity relaxation is a limiting factor.Comment: 5 pages, 3 figures. Published versio
Parity qubits and poor man's Majorana bound states in double quantum dots
We study a double quantum dot connected via a common superconducting lead and
show that this system can be tuned to host one Majorana bound state (MBS) on
each dot. We call them "poor man's Majorana bound states" since they are not
topologically protected, but otherwise share the properties of MBS formed in
topological superconductors. We describe the conditions for the existence of
the two spatially separated MBS, which include breaking of spin degeneracy in
the two dots, with the spins polarized in different directions. Therefore, we
propose to use a magnetic field configuration where the field directions on the
two dot form an angle. By control of this angle the cross Andreev reflection
and the tunnel amplitudes can be tuned to be approximately equal, which is a
requirement for the formation of the MBS. We show that the fermionic state
encoded in the two Majoranas constitutes a parity qubit, which is non-local and
can only be measured by probing both dots simultaneously. Using a many-particle
basis for the MBS, we discuss the role of interactions and show that inter-dot
interactions always lift the degeneracy. We also show how the MBS can be probed
by transport measurements and discuss how the combination of several such
double dot systems allows for entanglement of parity qubits and measurement of
their dephasing times.Comment: 7 pages, 3 figures. Published versio
Coupling spin qubits via superconductors
We show how superconductors can be used to couple, initialize, and read out
spatially separated spin qubits. When two single-electron quantum dots are
tunnel coupled to the same superconductor, the singlet component of the
two-electron state partially leaks into the superconductor via crossed Andreev
reflection. This induces a gate-controlled singlet-triplet splitting which,
with an appropriate superconductor geometry, remains large for dot separations
within the superconducting coherence length. Furthermore, we show that when two
double-dot singlet-triplet qubits are tunnel coupled to a superconductor with
finite charging energy, crossed Andreev reflection enables a strong two-qubit
coupling over distances much larger than the coherence length.Comment: 5 pages, 3 figures. Published versio
Quantum information transfer between topological and spin qubit systems
We propose a method to coherently transfer quantum information, and to create
entanglement, between topological qubits and conventional spin qubits. Our
suggestion uses gated control to transfer an electron (spin qubit) between a
quantum dot and edge Majorana modes in adjacent topological superconductors.
Because of the spin polarization of the Majorana modes, the electron transfer
translates spin superposition states into superposition states of the Majorana
system, and vice versa. Furthermore, we show how a topological superconductor
can be used to facilitate long-distance quantum information transfer and
entanglement between spatially separated spin qubits.Comment: 4+ pages, 2 figures, published versio
On the Mott formula for thermopower of non-interactions electrons in quantum point contacts
We calculate the linear response thermopower S of a quantum point contact
using the Landauer formula and therefore assume non-interacting electrons. The
purpose of the paper, is to compare analytically and numerically the linear
thermopower S of non-interacting electrons to the low temperature
approximation, S^1=(pi^2/3e)k^2 T d(ln G(mu,T=0))/dmu, and the so-called Mott
expression, S^M=(pi^2/3e)k^2 T d(ln G(mu,T))/dmu, where G(mu,T) is the
(temperature dependent) conductance. This comparison is important, since the
Mott formula is often used to detect deviations from single-particle behavior
in the thermopower of a point contact.Comment: To be published in Journal of Physics: Condensed Matter (7 pages, 2
figures.
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