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TT: Fachverband Tiefe Temperaturen

TT 70: Correlated Electrons: Method Development III

TT 70.4: Vortrag

Donnerstag, 12. März 2026, 10:15–10:30, HSZ/0101

Noninteracting tight-binding models for Fock parafermions — •Edward McCann — Department of Physics, Lancaster University, Lancaster, LA1 4YB, United Kingdom

By mapping itinerant spin-1/2 fermions to four-state Fock parafermions, we construct noninteracting tight-binding models for Fock parafermions in one dimension. They have single-particle real energy spectra consisting of a sum of single-particle energy levels each multiplied by a parafermionic occupation number. The single-particle levels may be determined by diagonalizing a square matrix whose order scales linearly with system size, and these levels are the same as those of noninteracting fermionic models. We generalize the approach to describe tight-binding models in two dimensions. We show that the thermodynamic distribution function for the occupation numbers of noninteracting four-state parafermions, the internal energy, and the heat capacity are consistent with the mapping to spin-1/2 fermions.

Keywords: Parafermion; Anyon; Tight-binding model; Su-Schrieffer-Heeger model; Specific heat