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Area of Science:

  • Condensed Matter Physics
  • Quantum Mechanics
  • Topological Matter

Background:

  • Strongly interacting Dirac systems exhibit exotic quantum phases and phase transitions.
  • Non-Hermitian physics, often linked to environmental dissipation, is a rapidly developing field.

Purpose of the Study:

  • Investigate the interplay between non-Hermitian physics and strong correlations in Dirac-fermion systems.
  • Generalize projector quantum Monte-Carlo (PQMC) algorithms for non-Hermitian systems.

Main Methods:

  • Developed a generalized PQMC algorithm for non-Hermitian interacting fermionic systems.
  • Performed PQMC simulations on the honeycomb Hubbard model with non-Hermitian asymmetric hopping.
  • Utilized renormalization group analysis.

Main Results:

  • Deciphered the ground-state phase diagram of the non-Hermitian honeycomb Hubbard model.
  • Observed enhancement of antiferromagnetic (AFM) ordering due to non-Hermitian asymmetric hopping.
  • Revealed that the quantum phase transition belongs to the Hermitian chiral XY universality class.

Conclusions:

  • The quantum phase transition between Dirac semi-metal and AFM phases exhibits Hermitian chiral XY universality.
  • A Hermitian Gross-Neveu transition emerges at the quantum critical point despite the non-Hermitian nature of the model.