Quantum critical point of Dirac fermion mass generation without spontaneous symmetry breaking

Abstract

We study a lattice model of interacting Dirac fermions in $(2+1)$ dimension space-time with an SU(4) symmetry. While increasing interaction strength, this model undergoes a {\it continuous} quantum phase transition from the weakly interacting Dirac semimetal to a fully gapped and nondegenerate phase without condensing any Dirac fermion bilinear mass operator. This unusual mechanism for mass generation is consistent with recent studies of interacting topological insulators/superconductors, and also consistent with recent progresses in lattice QCD community.

5 pages, 5 figures in main text; 10 pages, 6 figures in supplemental material

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• Self-Learning Determinantal Quantum Monte Carlo Method
• Symmetric Fermion Mass Generation as Deconfined Quantum Criticality
• From Bosonic Topological Transition to Symmetric Fermion Mass Generation
• Symmetry Enforced Self-Learning Monte Carlo Method Applied to the Holstein Model
• Symmetric Mass Generation in the 1+1 Dimensional Chiral Fermion 3-4-5-0 Model
• Novel phases in strongly coupled four-fermion theories
• Quantum phase transitions in Dirac fermion systems
• $SO(4)$ invariant Higgs-Yukawa model with reduced staggered fermions
• Disorder Operator and Rényi Entanglement Entropy of Symmetric Mass Generation
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• Absence of chiral symmetry breaking in Thirring models in 1+2 dimensions
• EMUS-QMC: Elective Momentum Ultra-Size Quantum Monte Carlo Method
• A UV perspective on mixed anomalies at critical points between bosonic symmetry-protected phases
• Topology and strong four fermion interactions in four dimensions
• Emus live on the Gross-Neveu-Yukawa archipelago
• Definition and Classification of Fermi Surface Anomalies
• Phases of a strongly coupled four-fermion theory
• Preempting Fermion Sign Problem: Unveiling Quantum Criticality through Nonequilibrium Dynamics in Imaginary Time
• Correlation Effects in a Simplified Bilayer Two-Orbital Hubbard Model at Half Filling
• A search for correlation-induced adiabatic paths between distinct topological insulators