Chiral tricritical point: a new universality class in Dirac systems

Abstract

Tricriticality, as a sister of criticality, is a fundamental and absorbing issue in condensed matter physics. It has been verified that the bosonic Wilson-Fisher universality class can be changed by gapless fermionic modes at criticality. However, the counterpart phenomena at tricriticality have rarely been explored. In this paper, we study a model in which a tricritical Ising model is coupled to massless Dirac fermions. We find that the massless Dirac fermions result in the emergence of a new tricritical point, which we refer to as the chiral tricritical point (CTP), at the phase boundary between the Dirac semimetal and the charge-density-wave insulator. From functional renormalization group analysis of the effective action, we obtain the critical behaviors of the CTP, which are qualitatively distinct from both the tricritical Ising universality and the chiral Ising universality. We further extend the calculations of the chiral tricritical behaviors of Ising spins to the case of Heisenberg spins. The experimental relevance of the CTP in two-dimensional Dirac semimetals is also discussed.

4.3 pages + supplemental material, 2 figures, published version

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Cited by in corpus (14)

• Finite-system Multicriticality at the Superradiant Quantum Phase Transition
• Fermion-induced quantum criticality with two length scales in Dirac systems
• Quantum phase transitions in Dirac fermion systems
• Critical endpoint and universality class of neutron ${}^3{P}_2$ superfluids in neutron stars
• Fermion-induced quantum critical point in the Landau-Devonshire model
• Electronic properties of the Dirac and Weyl systems with first- and higher-order dispersion in non-Fermi-liquid picture
• Absence of SO(4) quantum criticality in Dirac semimetals at two-loop order
• SO(4) multicriticality of two-dimensional Dirac fermions
• Boundary operator expansion and extraordinary phase transition in the tricritical O(N) model
• Chiral Quantum Phases and Tricriticality in a Dicke Triangle
• Spin Stiffness and Domain Walls in Dirac-Electron Mediated Magnets
• Fermion enhanced first-order phase transition and chiral Gross-Neveu tricritical point
• Driven Critical Dynamics in Tricitical Point
• Critical structure and emergent symmetry of Dirac fermion systems