The excitation energy spectrum for a system with electron pairs tunneling in a two-leg ladder has a doping depended gap

TL;DR

This paper introduces a new Hamiltonian model to study strongly correlated electrons in a two-leg ladder, revealing a doping-dependent energy gap in the excitation spectrum.

Contribution

It proposes a novel Hamiltonian for analyzing electron correlations and derives the excitation spectrum showing a doping-dependent energy gap.

Findings

No energy gap at half-filling

Energy gap appears away from half-filling

Doping influences the excitation energy spectrum

Abstract

A new model with a new Hamiltonian is offered as the means for studying properties of a system of strongly correlated electrons. Consideration of the simplest possible situation, namely a system on non-interacting electrons in a two-leg ladder, leads to an expression for the excitation energy spectrum with no energy gap at the half-filling and with an energy gap away from the half filling.