Systematic compactification of the multichannel Kondo model

We revisit the compactification procedure of the two-channel Kondo model that rewrites it more “compactly” using the single-channel version of the model by exploiting spin-charge separation. Capitalizing on the consistent bosonization-debosonization procedure [1,2], we propose a systematic way to compactify the multichannel Kondo model. Using exact comparisons with the original model we establish its validity over the conventional scheme [3]. Going further and performing the RG calculation we show that, when it comes to universal part of the flow, conventional and consistent schemes are equivalent [4]. Discrepancies between the flows appear at the nonuniversal (fourth) order in the beta function [5]. Additionally, we make use of renormalization-flow arguments to further justify the consistent refermionization of the parallel Kondo interaction.



[1] N. Shah and C.J. Bolech, Phys. Rev. B 93, 085440 (2016)

[2] C.J. Bolech and N. Shah, Phys. Rev. B 93, 085441 (2016)



[3] Aleksandar Ljepoja, C.J. Bolech, Nayana Shah, arXiv:2308.03569



[4] Aleksandar Ljepoja, Nayana Shah, C.J. Bolech, arXiv:2308.03590



[5] Aleksandar Ljepoja, C.J. Bolech, Nayana Shah, arXiv:2308.03606