Why Are Stripes So Narrow? Confinement of Holes and Pairing On a Stripe

Physics – Condensed Matter – Strongly Correlated Electrons

Scientific paper

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16 pages, 24 figures

Scientific paper

In this article we demonstrate how narrow stripes and pairing follow from a single simple principle: a strong antiferromagnetic background forces injected holes to hop in steps of two such that they always remain on the same sublattice. When applied to a domain wall in an antiferromagnet, this simple effect naturally leads to a number of results. First, we demonstrate that the holes are immediately (exponentially) localized on stripes. Consequently, we show that the holes on a stripe favor the formation of pairs on neighboring rungs or sites. We recover in this way the well known pictures of stripes found by White and Scalapino by numerical Density Matrix Renormalization Group (DMRG) calculations. Throughout this work much emphasis is placed on the problem of a two leg ladder immersed in a staggered magnetic field.

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