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SO(5) critical point in a spin-flavor Kondo device: Bosonization and refermionization solution

Alon Liberman, Andrew K. Mitchell, Ian Affleck, and Eran Sela
Phys. Rev. B 103, 195131 – Published 14 May 2021

Abstract

We investigate a well-studied system of a quantum dot coupled to a Coulomb box and leads, realizing a spin-flavor Kondo model. It exhibits a recently discovered non-Fermi liquid (NFL) behavior with emergent SO(5) symmetry. Here, through a detailed bosonization and refermionization solution, we push forward our previous work and provide a consistent and complete description of the various exotic properties and phase diagram. A unique NFL phase emerges from the presence of an uncoupled Majorana fermion from the flavor sector, whereas Fermi liquid-like susceptibilities result from the gapping out of a pair of Majorana fermions from the spin and flavor sectors. Other properties, such as a T3/2 scaling of the conductance, stability under channel or spin-symmetry breaking, and a reappearance of NFL behavior upon breaking the particle-hole symmetry, are all accounted for by a renormalization group treatment of the refermionized Majorana model.

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  • Received 17 March 2021
  • Revised 29 April 2021
  • Accepted 29 April 2021

DOI:https://doi.org/10.1103/PhysRevB.103.195131

©2021 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

Alon Liberman1, Andrew K. Mitchell2,3, Ian Affleck4, and Eran Sela1

  • 1School of Physics and Astronomy, Tel Aviv University, Tel Aviv 6997801, Israel
  • 2School of Physics, University College Dublin, Belfield, Dublin 4, Ireland
  • 3Centre for Quantum Engineering, Science, and Technology, University College Dublin, Belfield, Dublin 4, Ireland
  • 4Department of Physics and Astronomy and Stewart Blusson Quantum Matter Institute, University of British Columbia, Vancouver, British Columbia, Canada V6T 1Z1

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Issue

Vol. 103, Iss. 19 — 15 May 2021

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