Holons on a meandering stripe: quantum numbers

Abstract

We attempt to access the regime of strong coupling between charge carriers and transverse dynamics of an isolated conducting ``stripe'', such as those found in cuprate superconductors. A stripe is modeled as a partially doped domain wall in an antiferromagnet (AF), introduced in the context of two different models: the t-J model with strong Ising anisotropy, and the Hubbard model in the Hartree-Fock approximation. The domain walls with a given linear charge density are supported artificially by boundary conditions. In both models we find a regime of parameters where doped holes lose their spin and become holons (charge Q=1, spin S_z=0), which can move along the stripe without frustrating AF environment. One aspect in which the holons on the AF domain wall differ from those in an ordinary one-dimensional electron gas is their transverse degree of freedom: a mobile holon always resides on a transverse kink (or antikink) of the domain wall. This gives rise to two holon flavors and to a strong coupling between doped charges and transverse fluctuations of a stripe.

Minor revisions: references updated

References in corpus (13)

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Cited by in corpus (6)

• Mid-Infrared Conductivity from Mid-Gap States Associated with Charge Stripes
• Stripes and holes in a two-dimensional model of spinless fermions and hardcore bosons
• Stripe as an effective one-dimensional band of composite excitations
• Quantum Monte Carlo simulations of the t-Jz model with stripes on the square lattice
• Pairing and Density Correlations of Stripe Electrons in a Two-Dimensional Antiferromagnet
• Stripe Dynamics, Global Phase Ordering and Quantum Criticality in High Tc Superconductors