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Chiral Tricritical Point: A New Universality Class in Dirac Systems
Shuai Yin1, Shao-Kai Jian1, Hong Yao1,2,3
1Institute for Advanced Study, Tsinghua University, Beijing 100084, China.
Physical Review Letters
|June 9, 2018
Summary
Researchers discovered a new chiral tricritical point (CTP) by coupling a tricritical Ising model with massless Dirac fermions. This finding reveals novel critical behaviors distinct from existing universality classes in condensed matter physics.
Area of Science:
- Condensed matter physics
- Quantum criticality
- Phase transitions
Background:
- Tricriticality is a key phenomenon in condensed matter physics, analogous to criticality.
- The influence of gapless fermionic modes on bosonic universality classes at criticality is known.
- However, the effects of such fermions on tricriticality remain largely unexplored.
Purpose of the Study:
- To investigate the phenomena at tricriticality when coupled with massless Dirac fermions.
- To explore the emergence of new universality classes beyond the standard tricritical Ising and chiral Ising universality.
- To analyze the critical behaviors associated with this novel tricritical point.
Main Methods:
- Coupling a tricritical Ising model with massless Dirac fermions.
- Utilizing functional renormalization group (FRG) analysis of the effective action.
- Extending calculations from Ising spins to Heisenberg spins.
Main Results:
- The emergence of a novel chiral tricritical point (CTP) at the boundary between Dirac semimetals and charge-density wave insulators.
- CTP exhibits critical behaviors distinct from both tricritical Ising and chiral Ising universality classes.
- The study successfully extended these chiral tricritical behaviors to Heisenberg spins.
Conclusions:
- The existence of a new universality class characterized by the chiral tricritical point.
- Massless Dirac fermions fundamentally alter tricritical phenomena.
- Potential experimental relevance in two-dimensional Dirac semimetal systems.
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