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

References in corpus (13)

• Topological Mott Insulators
• Spin-Orbit Coupled Spinor Bose-Einstein Condensates
• Dynamical layer decoupling in a stripe-ordered, high T_c superconductor
• Charge $4e$ superconductivity from pair density wave order in certain high temperature superconductors
• Superconductivity of doped Weyl semimetals: finite-momentum pairing and electronic analogues of the 3He-A phase
• Emergent space-time supersymmetry in 3D Weyl and 2D Dirac semimetals
• Emergence of supersymmetry at a critical point of a lattice model
• Quantum superconducting criticality in graphene and topological insulators
• Simulating Wess-Zumino Supersymmetry Model in Optical Lattices
• Pair-Density-Wave Superconducting States and Electronic Liquid Crystal Phases
• Charge frustration and quantum criticality for strongly correlated fermions
• Supersymmetry and Goldstino-like Mode in Bose-Fermi Mixtures
• Emergent supersymmetry at the Ising-Berezinskii-Kosterlitz-Thouless multicritical point

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• Pair-density-wave and chiral superconductivity in twisted bilayer transition-metal-dichalcogenides
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• Majorana-Hubbard model on the square lattice
• Excitonic pairing and insulating transition in two-dimensional semi-Dirac semimetals
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• Coulomb instabilities of 3D higher-order topological insulators
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• Gross-Neveu-Heisenberg criticality from $2+\mathbf{\epsilon }$ expansion
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• Uncovering Emergent Spacetime Supersymmetry with Rydberg Atom Arrays
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• 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
• Boundary supersymmetry of 1+1 d fermionic SPT phases
• Pair-density-wave superconductivity: a microscopic model on 2D honeycomb lattice
• Emergent space-time supersymmetry at disorder quantum critical point
• Robustness of persistent currents in two-dimensional Dirac systems with disorders
• Tricritical Kibble-Zurek scaling in Rydberg atom ladders
• Dual dynamic scaling in deconfined quantum criticality
• Nonequilibrium Critical Dynamics with Emergent Supersymmetry
• Tilted Dirac superconductor at quantum criticality: Restoration of Lorentz symmetry
• Weyl Semimetal Made Ideal with a Crystal of Raman Light and Atoms
• Boundary and defect criticality in topological insulators and superconductors
• Instanton-Induced Supersymmetry Breaking in Topological Semimetals
• Quantum Hall Effect in a Weyl-Hubbard Model: Interplay between Topology and Correlation
• Driven Critical Dynamics in Tricitical Point
• Spin susceptibilities in magnetic type-I and type-II Weyl semimetals
• Boundary criticality for the Gross-Neveu-Yukawa models
• Supersymmetry dynamics on Rydberg atom arrays
• Finite-momentum and field-induced pairings in orbital-singlet spin-triplet superconductors
• Critical properties of three-dimensional many-flavour QEDs
• Critical structure and emergent symmetry of Dirac fermion systems
• Pair-density-wave phase of strongly interacting electrons on the triangular lattice: A variational Monte Carlo study
• $\mathcal{N}=1$ supersymmetric three-dimensional QED in the large-$N_f$ limit and applications to super-graphene
• SUSY QED with Lorentz-asymmetric fermionic matter and a glance at the electron's EDM
• Developments in non-relativistic field theory and complexity
• Self-dual Maxwell-Chern-Simons solitons in a parity-invariant scenario
• Emergent spacetime supersymmetry at 2D fractionalized quantum criticality
• Spin-triplet pair density wave superconductors
• Supersymmetric Quantum Spherical Spins with Short-Range Interactions
• Fermionic criticality with enlarged fluctuations in Dirac semimetals