The t-J model on a semi-infinite lattice

TL;DR

This paper investigates the spectral properties of the t-J model on a semi-infinite lattice, revealing boundary-induced hole depletion and complex spectral features due to magnon cloud deformation.

Contribution

It provides the first detailed analysis of the hole spectral function near the boundary of a semi-infinite lattice within the t-J model.

Findings

Near-boundary site rows are depleted of holes.

Deformation of magnon cloud causes boundary hole depletion.

Spectral function near the boundary differs from bulk behavior.

Abstract

The hole spectral function of the t-J model on a two-dimensional semi-infinite lattice is calculated using the spin-wave and noncrossing approximations. In the case of small hole concentration and strong correlations, $t\gg J$, several near-boundary site rows appear to be depleted of holes. The reason for this depletion is a deformation of the magnon cloud, which surrounds the hole, near the boundary. The hole depletion in the boundary region leads to a more complicated spectral function in the boundary row in comparison with its bulk shape.