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Condensed Matter Journal Club: "Reformulate HK Model Via Local Current Algebra"

May 7, 2026   4:00 pm  
ESB 3110
Sponsor
Condensed Matter Journal Club
Speaker
YuTing Bai
Contact
Rebecca Chan
E-Mail
rc28@illinois.edu
Views
18
Originating Calendar
Physics - Condensed Matter Journal Club

Abstract: We show that a Hamiltonian in terms of the local real-space currents obeying a SU(2) affine Lie algebra with level 1 that eliminates the non-locality in the Hatsugai-Kohmoto model for a doped Mott insulator. We establish this local correspondence through the Bjorken-Johnson-Low prescription for anomalous commutators. With this result, we show that the charge susceptibility computed from the current Hamiltonian is identical to that with the elemental Fermionic fields. Consequently, the HK model is local in real space, though not in terms of the Fermionic fields, thereby eliminating the key criticism of this model and reinforcing the utility of current algebras for strong interactions.

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