13,399 research outputs found
Non-linear excitations in 1D correlated insulators
In this work we investigate charge transport in one-dimensional (1D)
insulators via semi-classical and perturbative renormalization group (RG)
methods. We consider the problem of electron-electron, electron-phonon and
electron-two-level system interactions. We show that non-linear collective
modes such as polarons and solitons are reponsible for transport. We find a new
excitation in the Mott insulator: the polaronic soliton. We discuss the
differences between band and Mott insulators in terms of their spin spectrum
and obtain the charge and spin gaps in each one of these systems. We show that
electron-electron interactions provide strong renormalizations of the energy
scales in the problem.Comment: 29 page
Bandit Problems with Side Observations
An extension of the traditional two-armed bandit problem is considered, in
which the decision maker has access to some side information before deciding
which arm to pull. At each time t, before making a selection, the decision
maker is able to observe a random variable X_t that provides some information
on the rewards to be obtained. The focus is on finding uniformly good rules
(that minimize the growth rate of the inferior sampling time) and on
quantifying how much the additional information helps. Various settings are
considered and for each setting, lower bounds on the achievable inferior
sampling time are developed and asymptotically optimal adaptive schemes
achieving these lower bounds are constructed.Comment: 16 pages, 3 figures. To be published in the IEEE Transactions on
Automatic Contro
Physical mechanism of superluminal traversal time: interference between multiple finite wave packets
The mechanism of superluminal traversal time through a potential well or
potential barrier is investigated from the viewpoint of interference between
multiple finite wave packets, due to the multiple reflections inside the well
or barrier. In the case of potential-well traveling that is classically
allowed, each of the successively transmitted constituents is delayed by a
subluminal time. When the thickness of the well is much smaller in comparision
with a characteristic length of the incident wave packet, the reshaped wave
packet in transmission maintains the profile of the incident wave packet. In
the case of potential-barrier tunneling that is classically forbidden, though
each of the successively transmitted constituents is delayed by a time that is
independent of the barrier thickness, the interference between multiple
transmitted constituents explains the barrier-thickness dependence of the
traversal time for thin barriers and its barrier-thickness independence for
thick barriers. This manifests the nature of Hartman effect.Comment: 9 pages, 3 figures, Some comments and suggestions are appreciate
Enhancement of the anomalous Hall effect and spin glass behavior in the bilayered manganite La(2-2x)Sr(1+2x)Mn2O7
The Hall resistivity and magnetization have been investigated in the
ferromagnetic state of the bilayered manganite La(2-2x)Sr(1+2x)Mn2O7 (x=0.36).
The Hall resistivity shows an increase in both the ordinary and anomalous Hall
coefficients at low temperatures below 50K, a region in which experimental
evidence for the spin glass state has been found in a low magnetic field of
1mT. The origin of the anomalous behavior of the Hall resistivity relevant to
magnetic states may lie in the intrinsic microscopic inhomogeneity in a
quasi-two-dimensional electron system.Comment: 7 pages, 4 figures, Solid State Communications (in press
- …