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

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.

arXiv comment7 pages, in the last version has added one paragraph on page three related to two mental pictures helpful for visualizing the bonding process between the electrons, and a note about the two-liquid model. An added appendix presents the motivation for the paper