Emergent space-time supersymmetry in 3D Weyl and 2D Dirac semimetals

Abstract

Supersymmetry (SUSY) interchanges bosons and fermions but no direct evidences of it have been revealed in nature yet. In this letter, we observe that fluctuating pair density waves (PDW) consist of two complex order parameters which can be superpartners of the unavoidably-doubled Weyl fermions in three-dimensional lattice models. We construct explicit fermionic lattice models featuring 3D Weyl fermions and show that PDW is the leading instability via a continuous phase transition as short-range interactions exceed a critical value. Using renormalization group, we theoretically show that N=2 space-time SUSY emerges at the continuous PDW transitions in 3D Weyl semimetals, which we believe is the first realization of emergent (3+1)D space-time SUSY in microscopic lattice models. We further discuss possible routes to realize such lattice models and experimental signatures of emergent SUSY at the PDW criticality.

4.9 pages, 4 figures, published version in Physical Review Letters, Editors' Suggestion in PRL

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Cited by in corpus (23)

• Four-loop critical exponents for the Gross-Neveu-Yukawa models
• Emergent space-time supersymmetry in 3D Weyl and 2D Dirac semimetals
• Complete random matrix classification of SYK models with $\mathcal{N}=0$, $1$ and $2$ supersymmetry
• Probing quantum criticality using nonlinear Hall effect in a metallic Dirac system
• Density wave instabilities and surface state evolution in interacting Weyl semimetals
• Majorana-Hubbard model on the square lattice
• Excitonic pairing and insulating transition in two-dimensional semi-Dirac semimetals
• Supersymmetry breaking and Nambu-Goldstone fermions with cubic dispersion
• Phase diagram of interacting spinless fermions on the honeycomb lattice
• Appearance of the universal value $e^2/h$ of the zero-bias conductance in a Weyl semimetal-superconductor junction
• Renormalization properties of a Galilean Wess-Zumino model
• Fermionic multicriticality near Kekulé valence-bond ordering in honeycomb lattice
• Edge stability and edge quantum criticality in 2D interacting topological insulators
• Supersymmetry in Closed Chains of Coupled Majorana Modes
• Relaxation of a Goldstino-like mode due to supersymmetry breaking in Bose-Fermi mixtures
• Robustness of persistent currents in two-dimensional Dirac systems with disorders
• Dual dynamic scaling in deconfined quantum criticality
• Critical properties of three-dimensional many-flavour QEDs
• $\mathcal{N}=1$ supersymmetric three-dimensional QED in the large-$N_f$ limit and applications to super-graphene
• Developments in non-relativistic field theory and complexity
• Fermionic criticality with enlarged fluctuations in Dirac semimetals
• Self-dual Maxwell-Chern-Simons solitons in a parity-invariant scenario
• Supersymmetric Quantum Spherical Spins with Short-Range Interactions