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Slave-Rotor and Auxiliary Chain Analysis of the Mott Transition in a Modified Periodic Anderson Model

  • Ankur Majumder
  • Sudeshna Sen
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Abstract

The Mott-Hubbard transition is a paradigmatic phenomenon driven by strong electronic correlations. We investigate this transition in a three-orbital modified periodic Anderson model using slave-rotor mean-field theory. A minimal two-site cluster extension is introduced to understand the minimal effects of short-range spatial correlations. In comparison to the single-site solution, short-range spatial correlations reveal a shift of the transition point. Going beyond the slave-rotor analysis, we also evaluate the dynamical self-energy and map it onto the boundary Green's function of a non-interacting semi-infinite auxiliary chain. For the metallic phase, the resulting hopping pattern corresponds to a topologically trivial generalized Su--Schrieffer--Heeger chain. This construction provides a framework for exploring the possible topological character of the Mott transition in this model.

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Cite

BibTeXRIS
BibTeX
@misc{majumder2026slaverotor,
  title = {{Slave-Rotor and Auxiliary Chain Analysis of the Mott Transition in a Modified Periodic Anderson Model}},
  author = {Ankur Majumder and Sudeshna Sen},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.24315},
  eprint = {2609.24315},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.24315},
}
RIS
TY  - UNPB
TI  - Slave-Rotor and Auxiliary Chain Analysis of the Mott Transition in a Modified Periodic Anderson Model
AU  - Ankur Majumder
AU  - Sudeshna Sen
PY  - 2026
DA  - 2026/09/21
PB  - arXiv
DO  - 10.48550/arxiv.2609.24315
UR  - https://arxiv.org/abs/2609.24315
AB  - The Mott-Hubbard transition is a paradigmatic phenomenon driven by strong electronic correlations. We investigate this transition in a three-orbital modified periodic Anderson model using slave-rotor mean-field theory. A minimal two-site cluster extension is introduced to understand the minimal effects of short-range spatial correlations. In comparison to the single-site solution, short-range spatial correlations reveal a shift of the transition point. Going beyond the slave-rotor analysis, we also evaluate the dynamical self-energy and map it onto the boundary Green's function of a non-interacting semi-infinite auxiliary chain. For the metallic phase, the resulting hopping pattern corresponds to a topologically trivial generalized Su--Schrieffer--Heeger chain. This construction provides a framework for exploring the possible topological character of the Mott transition in this model.
ER  -