Abstract
We use path integral and exact diagonalization techniques to study the tunneling of dopant-induced hole polarons which are self-localized by electron-phonon coupling in a two-dimensional anti-ferromagnet. Their low-energy dynamics is found to be dominated by 2nd and 3rd neighbor hopping processes which carry a (−1) Berry phase factor and lead to non-s-wave hole pairing symmetries, including possiblenodeless \(d_{x^2 - y^2 } \) pair wavefunctions. The polarons obey effective spin-1/2-fermion quasi-particle statistics. The nodeless\(d_{x^2 - y^2 } \)-wave pairing state can exhibit a transition from gapless to fully gapped behavior in its quasi-particle excitation spectrum, without change of pairing symmetry.
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This work was supported by the National Science Foundation under Grant Nos. DMR-8913878 and DMR-9215123. Computing support from UCNS at the University of Georgia and from NCSA at the University of Illinois at Urbana-Champaign is gratefully acknowledged.
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Schüttler, H.B., Yonemitsu, K. & Zhong, J. Berry phases, pairing symmetry, and nodelessd-wave states in a strongly correlated polaron model. J Supercond 8, 555–558 (1995). https://doi.org/10.1007/BF00727424
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DOI: https://doi.org/10.1007/BF00727424