Spiral phases and two-particle bound states from a systematic low-energy effective theory for magnons, electrons, and holes in an antiferromagnet

C. Brügger; C. P. Hofmann; F. Kämpfer; M. Moser; M. Pepe; U. -J. Wiese

doi:10.1016/j.physb.2007.10.168

paper

Spiral phases and two-particle bound states from a systematic low-energy effective theory for magnons, electrons, and holes in an antiferromagnet

arXiv:0706.1423 · doi:10.1016/j.physb.2007.10.168

Abstract

We have constructed a systematic low-energy effective theory for hole- and electron-doped antiferromagnets, where holes reside in momentum space pockets centered at $(\pm \frac{π}{2 a}, \pm \frac{π}{2 a})$ and where electrons live in pockets centered at $(\frac{π}{a}, 0)$ or $(0, \frac{π}{a})$ . The effective theory is used to investigate the magnon-mediated binding between two holes or two electrons in an otherwise undoped system. We derive the one-magnon exchange potential from the effective theory and then solve the corresponding two-quasiparticle Schrödinger equation. As a result, we find bound state wave functions that resemble $d_{x^{2} - y^{2}}$ -like or $d_{x y}$ -like symmetry. We also study possible ground states of lightly doped antiferromagnets.

2 Pages; Proc. of SCES'07, Houston

Spiral phases and two-particle bound states from a systematic low-energy effective theory for magnons, electrons, and holes in an antiferromagnet

Abstract

References in corpus (3)