Tomonaga-Luttinger model with an impurity for a weak two-body interaction

Abstract

The Tomonaga-Luttinger model with impurity is studied by means of flow equations for Hamiltonians. The system is formulated within collective density fluctuations but no use of the bosonization formula is made. The truncation scheme includes operators consisting of up to four fermion operators and is valid for small electron-electron interactions. In this regime, the exact expression for the anomalous dimension is recovered. Furthermore, we verify the phase diagram of Kane and Fisher also for intermediate impurity strength. The approach can be extended to more general one-body potentials.

10 pages, 1 figure

References in corpus (1)

• Flow equations for Hamiltonians: Contrasting different approaches by using a numerically solvable model

Cited by in corpus (6)

• Flow Equations and Normal Ordering. A Survey
• The Quantum Steeplechase
• One-dimensional conductance through an arbitrary potential
• On the Geodesic Nature of Wegner's Flow
• From Luttinger liquids to Luttinger droplets via higher-order bosonization identities
• Tomonaga-Luttinger Liquid Renormalized by a Single Impurity