Optical experiments are reported for the metallic state of the linear chain compound (TMTSF)<Subscript>2</Subscript>ClO<Subscript>4</Subscript>. For the electric field polarized both along the highly (a) and intermediately (b′) conducting directions, a zero energy (ZE) mode and a finite energy mode (FE) are observed. The large anisotropy...</subscript></subscript>

Motivated by current interest in strongly correlated quasi-one-dimensional (1D) Luttinger liquids subject to axial confinement, we present a novel density-functional study of few-electron systems confined by power-low external potentials inside a short portion of a thin quantum wire. The theory...

We review and extend the composite fermion theory for semiconductor quantum dots in high magnetic fields. The mean-field model of composite fermions is unsatisfactory for the qualitative physics at high angular momenta. Extensive numerical calculations demonstrate that the microscopic CF theory,...

We consider one-dimensional (1D) interacting spinless fermions with a non-linear spectrum in a clean quantum wire (non-linear bosonization). We compute diagrammatically the 1D dynamical structure factor, S(ω,q), beyond the Tomonaga approximation focusing on it's tails, |ω| ≫vq, i.e. the...

We investigate the phase diagram of a quarter filled Hubbard ladder with nearest-neighbor Coulomb repulsion using bosonization and renormalization group approach. Focusing on the strong-repulsion regime, we discuss the effect of an interchain exchange interaction J <Subscript>⊥</Subscript> and interchain repulsion V...</subscript>

The description of fermions on curved manifolds or in curvilinear coordinates usually requires a vielbein formalism to define Dirac γ-matrices or Pauli matrices on the manifold. Derivatives of the vielbein also enter equations of motion for fermions through the spin connection, which gauges...

We calculate the damping γ<Subscript>q</Subscript> of collective density oscillations (zero sound) in a one-dimensional Fermi gas with dimensionless forward scattering interaction F and quadratic energy dispersion k<Superscript>2</Superscript> / 2 m at zero temperature. Using standard many-body perturbation theory, we obtain γ<Subscript>q</Subscript> from the...</subscript></superscript></subscript>