21 research outputs found
On a CFT prediction in the sine-Gordon model
A quantitative prediction of Conformal Field Theory (CFT), which relates the
second moment of the energy-density correlator away from criticality to the
value of the central charge, is verified in the sine-Gordon model. By
exploiting the boson-fermion duality of two-dimensional field theories, this
result also allows to show the validity of the prediction in the strong
coupling regime of the Thirring model.Comment: 5 pages, no figures, late
Voltage profile and four terminal resistance of an interacting quantum wire
We investigate the behavior of the four-terminal resistance in a
quantum wire described by a Luttinger liquid in two relevant situations: (i) in
the presence of a single impurity within the wire and (ii) under the effect of
asymmetries introduced by dirty voltage probes. In the first case, interactions
leave a signature in a power law behavior of as a function of the
voltage and the temperature . In the second case interactions tend to
mask the effect of the asymmetries. In both scenarios the occurrence of
negative values of is explained in simple terms.Comment: 5 pages, 3 figures; added references, corrected typos, improved
explanation
Quantum pump effect in one-dimensional systems of Dirac fermions
We investigate the behavior of the directed current in one-dimensional
systems of Dirac fermions driven by local periodic potentials in the forward as
well in backscattering channels. We treat the problem with Keldysh
non-equilibrium Green's function formalism. We present the exact solution for
the case of an infinite wire and show that in this case the dc current vanishes
identically. We also investigate a confined system consistent in an annular
arrangement coupled to a particle reservoir. We present a perturbative
treatment that allows for the analytical expressions of the dc current in the
lowest order of the amplitudes of the potential. We also present results
obtained from the exact numerical solution of the problem.Comment: 8 pages, 5 figure
Effect of nonadiabatic switching of dynamic perturbations in 1d Fermi systems
We study a two-dimensional fermionic QFT used to model 1D strongly correlated
electrons in the presence of a time-dependent impurity that drives the system
out of equilibrium. In contrast to previous investigations, we consider a
dynamic barrier switched on at a finite time. We compute the total energy
density (TED) of the system and establish two well defined regimes in terms of
the relationship between the frequency of the time-dependent perturbation
and the electron energy . Finally, we derive a relaxation time
such that for times shorter than the finite-time switching
process is relevant.Comment: 9 pages, 4 figures. Changed title. Added comments on backscattering.
Added result for electrical current. Version accepted in PR
Backscattering off a dynamical impurity in one-dimensional Fermi systems: a perturbative computation
We investigate the problem of backscattering off a time-dependent and spatially extended barrier in a one-dimensional noninteracting electron gas. By performing a perturbative expansion in the backscattering amplitude, we compute the total energy density of the system. We show how the free fermion spectrum and the conductance of the system are affected by the interplay between dynamical and geometrical properties of the impurity.Instituto de Física La Plat
RG study of a non-local sine-Gordon model
We study a non-local version of the sine-Gordon model connected to a many-body system with backward and umklapp scattering processes. Using renormalization group methods we derive the flow equations for the couplings and show how non-locality affects the gap in the spectrum of charge-density excitations. We compare our results with previous predictions obtained through the self-consistent harmonic approximation.Facultad de Ciencias ExactasInstituto de Física La Plat
Functional bosonization with time dependent perturbations
We extend a path-integral approach to bosonization previously developed in
the framework of equilibrium Quantum Field Theories, to the case in which
time-dependent interactions are taken into account. In particular we consider a
non covariant version of the Thirring model in the presence of a dynamic
barrier at zero temperature. By using the Closed Time Path (Schwinger-Keldysh)
formalism, we compute the Green's function and the Total Energy Density of the
system. Since our model contains the Tomonaga Luttinger model as a particular
case, we make contact with recent results on non-equilibrium electronic
systems.Comment: 21 pages, 8 figure
Non-perturbative approach to backscattering off a dynamical impurity in 1D Fermi systems
We investigate the problem of backscattering off a time-dependent impurity in
a one-dimensional electron gas. By combining the Schwinger-Keldysh method with
an adiabatic approximation in order to deal with the corresponding out of
equilibrium Dirac equation, we compute the total energy density (TED) of the
system. We show how the free fermion TED is distorted by the backscattering
amplitude and the geometry of the impurity.Comment: 5 pages, 2 figures, RevTex4. Appendix and some text added. Results
and conclusions did not change. Version accepted for publication in Phys.
Rev.
Voltage profile and four-terminal resistance of an interacting quantum wire
We investigate the behavior of the four-terminal resistance R4pt in a quantum wire described by a Luttinger liquid in two relevant situations: (i) in the presence of a single impurity within the wire and (ii) under the effect of asymmetries introduced by disordered voltage probes. In the first case, interactions leave a signature in a power-law behavior of R4pt as a function of the voltage V and the temperature T. In the second case interactions tend to mask the effect of the asymmetries. In both scenarios the occurrence of negative values of R4pt is explained in simple terms.Instituto de Física La Plat