Spectral properties of Luther - Emery systems

Spectral properties of Luther-Emery systems

We calculate the spectral function of the Luther-Emery model which describes one-dimensional fermions with gapless charge and gapped spin degrees of freedom. We find a true singularity with interaction dependent exponents on the gapped spin dispersion and a finite maximum depending on the magnitude of the spin gap, on a shifted charge dispersion. We apply these results to photoemission experime...

On the Spectral Properties of Degenerate Non-selfadjoint Elliptic systems of Differential Operators

The spectral properties of differential operators with matrix coefficients on elliptic systems with boundary conditions

Let $$(Lv)(t)=sum^{n} _{i,j=1} (-1)^{j} d_{j} left( s^{2alpha}(t) b_{ij}(t) mu(t) d_{i}v(t)right),$$ be a non-selfadjoint differential operator on the Hilbert space $L_{2}(Omega)$ with Dirichlet-type boundary conditions. In continuing of papers [10-12], let the conditions made on the operator $ L$ be sufficiently more general than [11] and [12] as defined in Section $1$. In this paper, we estim...

Spectral gap estimates for interacting particle systems via a Bakry & Emery – type approach

We develop a general technique, based on the Bakry–Emery approach, to estimate spectral gaps of a class of Markov operator. We apply this technique to various interacting particle systems. In particular, we give a simple and short proof of the diffusive scaling of the spectral gap of the Kawasaki model at high temperature. Similar results are derived for Kawasaki-type dynamics in the lattice wi...

Spectral Properties of Finite Quantum Hall Systems ∗

In this note we review spectral properties of magnetic random Schrödinger operators Hω = H0 + Vω + Ul + Ur defined on L 2(R × [ −L2 , L2 ] , dxdy) with periodic boundary conditions along y. Ul and Ur are two confining potentials for x ≤ −L2 and x ≥ L2 respectively and vanish for −L2 ≤ x ≤ L2 . We describe the spectrum in two energy intervals and we classify it according to the quantum mechanica...