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Refined cyclic renormalization group in Russian Doll model

by Vedant Motamarri, Ivan M. Khaymovich, Alexander Gorsky

Submission summary

Authors (as registered SciPost users): Ivan Khaymovich
Submission information
Preprint Link: https://arxiv.org/abs/2406.08573v1  (pdf)
Date submitted: 2024-08-21 10:18
Submitted by: Khaymovich, Ivan
Submitted to: SciPost Physics
Ontological classification
Academic field: Physics
Specialties:
  • Condensed Matter Physics - Theory
  • High-Energy Physics - Theory
  • Mathematical Physics
Approach: Theoretical

Abstract

We discuss the Russian Doll Model (RDM) of superconductivity for finite energy levels. Previously, cyclic renormalization group (RG) and Efimov scaling were found in RDM for part of the equidistant spectrum and we generalize this observation in a few directions. We find that when the whole spectrum is considered, equidistancy condition is removed or diagonal disorder is added, the cyclicity of RG survives but the period of RG becomes energy dependent. The analytic analysis is supported with exact diagonalization.

Author indications on fulfilling journal expectations

  • Provide a novel and synergetic link between different research areas.
  • Open a new pathway in an existing or a new research direction, with clear potential for multi-pronged follow-up work
  • Detail a groundbreaking theoretical/experimental/computational discovery
  • Present a breakthrough on a previously-identified and long-standing research stumbling block
Current status:
In refereeing

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