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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.

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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.