Catalin Pascu Moca

Density matrix numerical renormalization group for non-Abelian symmetries

We generalize the spectral sum rule preserving density matrix numerical renormalization group (DM-NRG) method in such a way that it can make use of an arbitrary number of not necessarily Abelian, local symmetries present in the quantum impurity system. We illustrate the benefits of using non-Abelian symmetries by the example of calculations for the T-matrix of the two-channel Kondo model in the presence of magnetic field, for which conventional NRG methods produce large errors and/or take a long run-time.

Hybrid Semiclassical Theory of Quantum Quenches in One-Dimensional Systems

We develop a hybrid semiclassical method to study the time evolution of one-dimensional quantum systems in and out of equilibrium. Our method handles internal degrees of freedom completely quantum mechanically by a modified time-evolving block decimation method while treating orbital quasiparticle motion classically. We can follow dynamics up to time scales well beyond the reach of standard numerical methods to observe the crossover between preequilibrated and locally phase equilibrated states. As an application, we investigate the quench dynamics and phase fluctuations of a pair of tunnel-coupled one-dimensional Bose condensates. We demonstrate the emergence of soliton-collision-induced phase propagation, soliton-entropy production, and multistep thermalization. Our method can be applied to a wide range of gapped one-dimensional systems.

Scaling theory of magnetoresistance in disordered local moment ferromagnets

We present a scaling theory of magneto-transport in Anderson-localized disordered ferromagnets. Within our framework a pronounced magnetic-field-sensitive resistance peak emerges naturally for temperatures near the magnetic phase transition. We find that the resistance anomaly is a direct consequence of the change in localization length caused by the magnetic transition. For increasing values of the external magnetic field, the resistance peak is gradually depleted and pushed towards higher temperatures. Our results are in good agreement with magneto-resistance measurements on a variety of disordered magnets.

Longitudinal and spin-Hall conductance of a two-dimensional Rashba system with arbitrary disorder

We calculate the longitudinal and spin-Hall conductances in four-lead bridges with Rashba - Dresselhaus spin-orbit interactions. Numerical results are obtained both within Landauer-Buttiker formalism and by the direct evaluation of the Kubo formula. The microscopic Hamiltonian is obtained in the tight-binding approximation in terms of the neareast-neighbor hopping integral

Scaling theory of magnetoresistance and carrier localization in Ga1-xMnxAs

t

Finite-frequency-dependent noise of a quantum dot in a magnetic field

, the Rashba spin-orbit coupling

Kondo temperature of SU(4) symmetric quantum dots

V_R

Exploring the anisotropic Kondo model in and out of equilibrium with alkaline-earth atoms

, the Dresselhaus spin-orbit coupling

Probing the Rashba effect via the induced magnetization around a Kondo impurity

V_D

SU(3) Anderson impurity model: A numerical renormalization group approach exploiting non-Abelian symmetries

and an Anderson-like, on-site disorder energy strength