# Localization of isolated holes in a Mott insulator and delocalization by pairing

Kumar, N (1990) Localization of isolated holes in a Mott insulator and delocalization by pairing. In: Physical Review B, 42 (10). 6138 - 6141.

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Official URL: http://prb.aps.org/abstract/PRB/v42/i10/p6138_1

## Abstract

I have calculated the ground-state energy and wave function of a single (pair of) hole(s) moving in a two-dimensional antiferromagnetically correlated background in the self-retracing-path approximation within the t-J model. The confining potential due to the string of overturned spins is treated quasistatically in the strong-coupling limit. I find that (i) an isolated hole is autolocalized at discrete energy levels, broadened presumably into narrow resonances due to failure of the quasistatic approximation, (ii) a pair of holes bind for J/t > 0.45 in the dilute limit $\delta \rightarrow 0$ , but (iii) higher concentration favors delocalization of holes by pairing. This has observable consequences for the normal-state transport and optical absorption in the high-$T_c$ cuprate superconductors.

Item Type: Journal Article Physical Review B American Physical Society Copyright of this article belongs to American Physical Society. Division of Physical & Mathematical Sciences > Physics 12 Jul 2007 05 Jan 2011 07:12 http://eprints.iisc.ac.in/id/eprint/11530