Interacting Electrons on a Fluctuating String

TL;DR

This paper develops an effective low-energy theory for interacting electrons on a fluctuating string, deriving key electronic properties and exploring potential links to high-temperature superconductor behavior.

Contribution

It introduces a novel approach to model electrons on a fluctuating string by integrating out string degrees of freedom, providing new insights into electronic properties in such systems.

Findings

Derived expressions for tunneling density of states

Calculated spectral function and optical conductivity

Discussed implications for cuprate superconductor phenomenology

Abstract

We consider the problem of interacting electrons constrained to move on a fluctuating one-dimensional string. An effective low-energy theory for the electrons is derived by integrating out the string degrees of freedom to lowest order in the inverse of the string tension and mass density, which are assumed to be large. We obtain expressions for the tunneling density of states, the spectral function and the optical conductivity of the system. Possible connections with the phenomenology of the cuprate high temperature superconductors are discussed.