Publications (7)33.64 Total impact

Article: Reply: Apel and Bychkov
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ABSTRACT: A Reply to the Comment by Alexander V. Khaetskii.01/2001;  Physical Review Letters 09/2000; 85(12). · 7.94 Impact Factor
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ABSTRACT: We study the relaxation of a spin I that is weakly coupled to a quantum mechanical environment. Starting from the microscopic description, we derive a system of coupled relaxation equations within the adiabatic approximation. These are valid for arbitrary I and also for a general stationary nonequilibrium state of the environment. In the case of equilibrium, the stationary solution of the equations becomes the correct Boltzmannian equilibrium distribution for given spin I. The relaxation towards the stationary solution is characterized by a set of relaxation times, the longest of which can be shorter, by a factor of up to 2I, than the relaxation time in the corresponding Bloch equations calculated in the standard perturbative way. Comment: 4 pages, Latex, 2 figuresPhysical review. B, Condensed matter 06/2000;  [show abstract] [hide abstract]
ABSTRACT: We study the spin relaxation in an interacting twodimensional electron gas in a strong magnetic field for the case that the electron density is close to filling just one Landau sublevel of one spin projection, i.e., for filling factor near one. Assuming the relaxation to be caused by scattering with phonons, we derive the kinetic equations for the electron's spindensity which replace the Bloch equations in our case. These equations are nonlinear and their solution depends crucially on the filling factor and on the temperature of the phonon bath. In the limit of zero temperature and for filling factor 1, the solution relaxes asymptotically with a power law inversely proportional to time, instead of following the conventional exponential behavior. Comment: 4 pages, 1 figurePhysical Review Letters 11/1998; · 7.94 Impact Factor  PhysicsUspekhi 01/1998; 41(2):134138. · 1.87 Impact Factor

Article: Apel and Bychkov Reply
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ABSTRACT: A Reply to the Comment by G. E. Volovik and V. M. Yalcovenko.Physical Review Letters 01/1997; 79(19):37923792. · 7.94 Impact Factor  [show abstract] [hide abstract]
ABSTRACT: We study interacting electrons in two dimensions moving in the lowest Landau level under the condition that the Zeeman energy is much smaller than the Coulomb energy and the filling factor is one. In this case, Skyrmion quasiparticles play an important role. Here, we present a simple and transparent derivation of the corresponding effective Lagrangian. In its kinetic part, we find a nonzero Hopf term the prefactor of which we determine rigorously. In the Hamiltonian part, we calculate, by means of a gradient expansion, the SkyrmionSkyrmion interaction completely up to fourth order in spatial derivatives. Comment: 4 pages, LatexPhysical Review Letters 10/1996; · 7.94 Impact Factor
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7  Citations  
136  Views  
33.64  Total Impact Points  
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Institutions

1996–2000

PhysikalischTechnische Bundesanstalt
Berlín, Berlin, Germany
