Doped bilayer antiferromagnets: Hole dynamics on both sides of a magnetic ordering transition

Abstract

The two-layer square lattice quantum antiferromagnet with spins 1/2 shows a magnetic order-disorder transition at a critical ratio of the interplane to intraplane couplings. We investigate the dynamics of a single hole in a bilayer antiferromagnet described by a t-J Hamiltonian. To model the spin background we propose a ground-state wave function for the undoped system which covers both magnetic phases and includes transverse as well as longitudinal spin fluctuations. The photoemission spectrum is calculated using the spin-polaron picture for the whole range of the ratio of the magnetic couplings. This allows for the study of the hole dynamics of both sides of the magnetic order-disorder transition. For small interplane coupling we find a quasiparticle with properties known from the single-layer antiferromagnet, e.g., the dispersion minimum is at (pi/2,pi/2). For large interplane coupling the hole dispersion is similar to that of a free fermion (with reduced bandwidth). The cross-over between these two scenarios occurs inside the antiferromagnetic phase which indicates that the hole dynamics is governed by the local environment of the hole.

14 pages, 11 figs, minor changes, discussion of spin correlations added, accepted for publication in PRB

References in corpus (4)

• Novel approach to description of spin liquid phases in low-dimensional quantum antiferromagnets
• Bond-Operator Mean Field Theory for the Bilayer Heisenberg Model
• Hole motion in an arbitrary spin background: Beyond the minimal spin-polaron approximation
• On the origin of the quantum-critical transition in the bilayer Heisenberg model

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