Reimagining two-channel Kondo physics: fermions to bosons and back in a consistent way

The two-channel Kondo model has been a theoretical and
experimental playground to understand and probe intermediate coupling
fixed points with non-Fermi liquid behavior. We revisit the
compactification procedure of the (multi) two-channel Kondo model that
rewrites it more “compactly” using the single-channel version of the model
by exploiting spin-charge separation. We show that
bosonization-debosonization (BdB) can be used as a systematic method for
that purpose but only if we use a consistent BdB framework [1,2,3]. In
doing so, we also advance the consistent framework [4,5] and further
establish why it is so essential to be cognizant of the pitfalls of the
conventional BdB framework. Extensive comparisons are carried out in exact
limits [1] as well as by using poor man's scaling [2] and field-theoretic
renormalization group methods [3]; on the way furthering the latter as
well.

Refs:
[1] A. Ljepoja, C.J. Bolech, Nayana Shah, Phys. Rev. B 110, 045108 (2024)
[2] A. Ljepoja, N. Shah, C.J. Bolech, Phys. Rev. B 110, 045109 (2024)
[3] A. Ljepoja, C.J. Bolech, N. Shah, Phys. Rev. B 110, 045110 (2024)
[4] N. Shah and C.J. Bolech, Phys. Rev. B 93, 085440 (2016)
[5] C.J. Bolech and N. Shah, Phys. Rev. B 93, 085441 (2016)