arXiv subjects

A. O. Caldeira

Publications and source records attributed to A. O. Caldeira.

46 records · Page 3Linked to original sources

arXiv1999

Mobility of Bloch Walls via the Collective Coordinate Method

We have studied the problem of the dissipative motion of Bloch walls considering a totally anisotropic one dimensional spin chain in the presence of a magnetic field. Using the so-called "collective coordinate method" we construct an effective Hamiltonian for the Bloch wall coupled to the magnetic excitations of the system. It allows us to analyze the Brownian motion of the wall in terms of the reflection coefficient of the effective potential felt by the excitations due to the existence of the wall. We find that for finite values of the external field the wall mobility is also finite. The spectrum of the potential at large fields is investigated and the dependence of the damping constant on temperature is evaluated. As a result we find the temperature and magnetic field dependence of the wall mobility.

cond-mat.stat-mech↗

arXiv1997

Dynamics of Stripes in Doped Antiferromagnets

We study the dynamics of the striped phase, which has previously been suggested to be the ground state of a doped antiferromagnet. Starting from the t-J model, we derive the classical equation governing the motion of the charged wall by using a ficticious spin model as an intermediate step. A wave-like equation of motion is obtained and the wall elasticity and mass density constants are derived in terms of the t and J parameters. The wall is then regarded as an elastic string which will be trapped by the pinning potential produced by randomly distributed impurities. We evaluate the pinning potential and estimate the threshold electric field which has to be applied to the system in order to release the walls. Besides, the dynamics of the stripe in the presence of a bias field below the threshold is considered and the high- and low-temperature relaxation rates are derived.

cond-mat↗

arXiv1997

Solution of the X-ray edge problem for 2D electrons in a magnetic field

The absorption and emission spectra of transitions between a localized level and a two-dimensional electron gas, subjected to a weak magnetic field, are calculated analytically. Adopting the Landau level bosonization technique developed in previous papers, we find an exact expression for the relative intensities of spectral lines. Their envelope function, governed by the interaction between the electron gas and the core hole, is reminescent of the famous Fermi edge singularity, which is recovered in the limit of a vanishing magnetic field.

cond-mat.mes-hall↗

arXiv1996

Landau level bosonization of a 2D electron gas

In this work we introduce a bosonization scheme for the low energy excitations of a 2D interacting electron gas in the presence of an uniform magnetic field under conditions where a large integral number of Landau levels are filled. We give an explicit construction for the electron operator in terms of the bosons. We show that the elementary neutral excitations, known as the magnetic excitons or magnetoplasma modes, can be described within a bosonic language and that it provides a quadratic bosonic Hamiltonian for the interacting electron system which can be easily diagonalized.

cond-mat.mes-hall↗

arXiv1995

Motion of heavy particles coupled to fermionic and bosonic environments in one dimension

Making use of a simple unitary transformation we change the hamiltonian of a particle coupled to an one dimensional gas of bosons or fermions to a new form from which the many body degrees of freedom can be easily traced out. The effective dynamics of the particle allows us to compute its damping constant in terms of the reflection coefficient of the interaction potential and the occupation number of the environmental particles. We apply our results to a delta repulsive potential.

cond-mat↗

arXiv1994

On Quantum Scattering of a System with Internal Degrees of Freedom

We study the quantum tunnelling of a very complex object of which only part is coupled to an external potential ( the potential barrier ). We treat this problem as the tunnelling of a particle (part of the system affected by the potential) coupled to a ``heat bath" ( all of the remaining degrees of freedom ) from the point of view of the wavefunction of the whole system. We obtain an effective scattering equation for this wavefunction which resembles the integral equation for the wavefunction of the particle in the absence of the bath. We show that the effect of the interaction is to renormalize the mass and the potential of the problem and that these new parameters can be solely described in terms of the spectral function of the excitations of the system.

cond-mat↗

arXiv1994

The mobility and diffusion of a particle coupled to a Luttinger liquid

We study the mobility of a particle coupled to a one dimensional interacting fermionic system, a Luttinger liquid. We bosonize the Luttinger liquid and find the effective interaction between the particle and the bosonic system. We show that the dynamics of this system is completely equivalent to the acoustic polaron problem where the interaction has purely electronic origin. This problem has a zero mode excitation, or soliton, in the strong coupling limit which corresponds to the formation of a polarization cloud due to the fermion-fermion interaction around the particle. We obtain that, due to the scattering of the residual bosonic modes, the soliton has a finite mobility and diffusion coefficient at finite temperatures which depend on the fermion-fermion interaction. We show that at low temperatures the mobility and the diffusion coefficient are proportional to $T^{-4}$ and $T^5$ respectively and at high temperatures the mobility vanishes as $T^{-1}$ while the diffusion increases as $T$.

cond-mat↗

arXiv1993

Dissipative quantum systems modeled by a two level reservoir coupling

The coupling between a quantum dynamical system and a two-level system reservoir is analysed within the framework of the Feynman-Vernon theory. We stress the differences between this new reservoir and the well-known bath of oscillators and show that, in order to obtain the Langevin equation for the system of interest in the high temperature regime, we have to choose a spectral distribution function $J(ω)$ which is finite for $ω=0$.

cond-mat↗

arXiv1993

Transport Properties of Solitons

We calculate in this article the transport coefficients which characterize the dynamics of solitons in quantum field theory using the methods of dissipative quantum systems. We show how the damping and diffusion coefficients of soliton-like excitations can be calculated using the integral functional formalism. The model obtained in this article has new features which cannot be obtained in the standard models of dissipation in quantum mechanics.

hep-th↗

arXiv1992

An alternative approach for the dynamics of polarons in one dimension

We developed a new method based on functional integration to treat the dynamics of polarons in one-dimensional systems. We treat the acoustical and the optical case in an unified manner, showing their differences and similarities. The mobility and diffusion coefficients are calculated in the Markovian approximation in the strong coupling limit.

cond-mat↗