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Fermi points and topological quantum phase transitions in a multi-band superconductor
T O Puel1, P D Sacramento, M A Continentino
1Centro Brasileiro de Pesquisas Físicas, Rua Dr. Xavier Sigaud, 150-Urca, Rio de Janeiro-RJ 22290-180, Brazil.
Summary
This study explores a novel two-band model for topological materials, revealing a Weyl superconductor and topological insulator phases. Its topological quantum phase transitions exhibit distinct critical exponents compared to the Kitaev model.
Area of Science:
- Condensed matter physics
- Topological materials science
- Quantum phase transitions
Background:
- Exact solutions are crucial for studying materials with non-trivial topological properties.
- The Kitaev model is a key reference for Majorana mode research.
- The sp-chain model exemplifies topological insulators with understood properties.
Purpose of the Study:
- To investigate a two-band model of spinless fermions with attractive inter-band interactions.
- To determine the zero-temperature phase diagram of this model.
- To analyze the critical exponents of topological quantum phase transitions.
Main Methods:
- Theoretical modeling of a two-band system.
- Analysis of spinless fermions with inter-band interactions.
- Determination of the zero-temperature phase diagram.
Main Results:
- A rich phase diagram was obtained, featuring a Weyl superconductor and a topological insulator.
- The model exhibits topological quantum phase transitions.
- Critical exponents for the topological to trivial superconducting phase transition differ from the Kitaev model.
Conclusions:
- The studied two-band model offers new insights into topological phases.
- The distinct critical exponents highlight unique transition physics.
- This work contributes to understanding topological quantum phase transitions in novel condensed matter systems.
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