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Nonequilibrium Dynamics of Dirac Quantum Criticality in Imaginary Time
Yin-Kai Yu1,2,3,4, Zhi Zeng1,2, Yu-Rong Shu5
1Sun Yat-Sen University, Guangdong Provincial Key Laboratory of Magnetoelectric Physics and Devices, Guangzhou 510275, China.
Physical Review Letters
|March 13, 2026
Summary
Researchers studied quantum criticality in Dirac fermions using quantum Monte Carlo simulations. They discovered a new relaxation dynamic with a negative critical exponent, impacting our understanding of fermionic systems.
Area of Science:
- Condensed Matter Physics
- Quantum Critical Phenomena
- Dirac Fermions
Background:
- Quantum criticality in Dirac fermions is a complex field with many exotic phenomena.
- Understanding the dynamics of these systems is crucial for advancing quantum physics.
Purpose of the Study:
- To explore imaginary-time relaxation dynamics in Dirac quantum criticality.
- To identify and characterize nonequilibrium critical phenomena and their underlying mechanisms.
Main Methods:
- Large-scale quantum Monte Carlo simulations were employed.
- Nonstationary initial slip evolution was analyzed.
- Nonequilibrium scaling theory was generalized.
Main Results:
- Rich nonequilibrium critical phenomena were observed from different initial states.
- An unconventional negative critical exponent (θ=-0.84(4)) was identified, highlighting fermionic critical fluctuations.
- Distinct relaxation behaviors of fermionic and bosonic critical modes were captured.
Conclusions:
- A new framework for investigating fermionic quantum criticality using short-time dynamics was established.
- The findings offer an efficient method for studying quantum criticality in diverse fermionic systems.
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