71 research outputs found
Heat transport through quantum Hall edge states: Tunneling versus capacitive coupling to reservoirs
We study the heat transport along an edge state of a two-dimensional electron
gas in the quantum Hall regime, in contact to two reservoirs at different
temperatures. We consider two exactly solvable models for the edge state
coupled to the reservoirs. The first one corresponds to filling and
tunneling coupling to the reservoirs. The second one corresponds to integer or
fractional filling of the sequence (with odd), and capacitive
coupling to the reservoirs. In both cases we solve the problem by means of
non-equilibrium Green function formalism. We show that heat propagates chirally
along the edge in the two setups. We identify two temperature regimes, defined
by , the mean level spacing of the edge. At low temperatures, , finite size effects play an important role in heat transport, for both
types of contacts. The nature of the contacts manifest themselves in different
power laws for the thermal conductance as a function of the temperature. For
capacitive couplings a highly non-universal behavior takes place, through a
prefactor that depends on the length of the edge as well as on the coupling
strengths and the filling fraction. For larger temperatures, ,
finite-size effects become irrelevant, but the heat transport strongly depends
on the strength of the edge-reservoir interactions, in both cases. The thermal
conductance for tunneling coupling grows linearly with , whereas for the
capacitive case it saturates to a value that depends on the coupling strengths
and the filling factors of the edge and the contacts.Comment: 15 pages, 5 figure
Microscopic model of a phononic refrigerator
We analyze a simple microscopic model to pump heat from a cold to a hot
reservoir in a nanomechanical system. The model consists of a one-dimensional
chain of masses and springs coupled to a back gate through which a
time-dependent perturbation is applied. The action of the gate is to modulate
the coupling of the masses to a substrate via additional springs that introduce
a moving phononic barrier. We solve the problem numerically using
non-equilibrium Green function techniques. For low driving frequencies and for
sharp traveling barriers, we show that this microscopic model realizes a phonon
refrigerator.Comment: 9 pages, 4 figure
Microscopic theory of vibronic dynamics in linear polyenes
We propose a novel approach to calculate dynamical processes at ultrafast
time scale in molecules in which vibrational and electronic motions are
strongly mixed. The relevant electronic orbitals and their interactions are
described by a Hubbard model, while electron-phonon interaction terms account
for the bond length dependence of the hopping and the change in ionic radii
with valence charge. The latter term plays a crucial role in the non-adiabatic
internal conversion process of the molecule. The time resolved photoelectron
spectra are in good qualitative agreement with experiments.Comment: 3 figures, other comment
Triplet superconductivity in quasi one-dimensional systems
We study a Hubbard hamiltonian, including a quite general nearest-neighbor
interaction, parametrized by repulsion V, exchange interactions Jz, Jperp,
bond-charge interaction X and hopping of pairs W. The case of correlated
hopping, in which the hopping between nearest neighbors depends upon the
occupation of the two sites involved, is also described by the model for
sufficiently weak interactions. We study the model in one dimension with usual
continuum-limit field theory techniques, and determine the phase diagram. For
arbitrary filling, we find a very simple necessary condition for the existence
of dominant triplet superconducting correlations at large distance in the spin
SU(2) symmetric case: 4V+J<0. In the correlated hopping model, the three-body
interaction should be negative for positive V. We also compare the predictions
of this weak-coupling treatment with numerical exact results for the
correlated-hopping model obtained by diagonalizing small chains, and using
novel techniques to determine the opening of the spin gap.Comment: 8 pages, 3 figure
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
Stationary transport in mesoscopic hybrid structures with contacts to superconducting and normal wires. A Green's function approach for multiterminal setups
We generalize the representation of the real time Green's functions
introduced by Langreth and Nordlander [Phys. Rev. B 43 2541 (1991)] and Meir
and Wingreen [Phys. Rev. Lett. 68 2512 (1992)] in stationary quantum transport
in order to study problems with hybrid structures containing normal (N) and
superconducting (S) pieces. We illustrate the treatment in a S-N junction under
a stationary bias and investigate in detail the behavior of the equilibrium
currents in a normal ring threaded by a magnetic flux with attached
superconducting wires at equilibrium. We analyze the flux sensitivity of the
Andreev states and we show that their response is equivalent to the one
corresponding to the Cooper pairs with momentum q=0 in an isolated
superconducting ring.Comment: 11 pages, 3 figure
The infinite-range quantum random Heisenberg magnet
We study with exact diagonalization techniques the Heisenberg model for a
system of SU(2) spins with S=1/2 and random infinite-range exchange
interactions. We calculate the critical temperature T_g for the spin-glass to
paramagnetic transition. We obtain T_g ~ 0.13, in good agreement with previous
quantum Monte Carlo and analytical estimates. We provide a detailed picture for
the different kind of excitations which intervene in the dynamical response
chi''(w,T) at T=0 and analyze their evolution as T increases. We also calculate
the specific heat Cv(T). We find that it displays a smooth maximum at TM ~
0.25, in good qualitative agreement with experiments. We argue that the fact
that TM>Tg is due to a quantum disorder effect.Comment: 17 pages, 14 figure
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