Emergent spacetime supersymmetry at 2D fractionalized quantum criticality

Abstract

While experimental evidence for spacetime supersymmetry (SUSY) in particle physics remains elusive, condensed matter systems offer a promising arena for its emergence at quantum critical points (QCPs). Although there have been a variety of proposals for emergent SUSY at symmetry-breaking QCPs, the emergence of SUSY at fractionalized QCPs remains largely unexplored. Here, we demonstrate emergent space-time SUSY at a fractionalized QCP in the Kitaev honeycomb model with Su-Schrieffer-Heeger (SSH) spin-phonon coupling. Specifically, through numerical computations and analytical analysis, we show that the anisotropic SSH-Kitaev model hosts a fractionalized QCP between a Dirac spin liquid and an incommensurate/commensurate valence-bond-solid phase coexisting with ${\mathbb{Z}}_2$ topological order. A low-energy field theory incorporating phonon quantum fluctuations reveals that this fractionalized QCP features an emergent $\mathcal{N}=2$ spacetime SUSY. We further discuss their universal experimental signatures in thermal transport and viscosity, highlighting the concrete lattice realization of emergent SUSY at a fractionalized QCP in 2D.

4 pages, 1 figure. Accepted by PRL, published version

References in corpus (35)

• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• Mott Insulators in the Strong Spin-Orbit Coupling Limit: From Heisenberg to a Quantum Compass and Kitaev Models
• An exact chiral spin liquid with non-Abelian anyons
• Experimental identification of quantum spin liquids
• Edge solitons of topological insulators and fractionalized quasiparticles in two dimensions
• Emergent space-time supersymmetry in 3D Weyl and 2D Dirac semimetals
• Emergence of supersymmetry at a critical point of a lattice model
• Spin-S Kitaev model: Classical Ground States, Order by Disorder and Exact Correlation Functions
• Conformal field theories at non-zero temperature: operator product expansions, Monte Carlo, and holography
• Weyl spin liquids
• A $\Gamma$-matrix generalization of the Kitaev model
• Charge frustration and quantum criticality for strongly correlated fermions
• Fractionalized fermionic quantum criticality in spin-orbital Mott insulators
• Emergent supersymmetry at the Ising-Berezinskii-Kosterlitz-Thouless multicritical point
• Realization of supersymmetry and its spontaneous breaking in quantum Hall edges
• ${\mathbb{Z}}_2$ spin liquids in the higher spin-$S$ Kitaev honeycomb model: An exact deconfined ${\mathbb{Z}}_2$ gauge structure in a non-integrable model
• Planar thermal Hall effect from phonons in a Kitaev candidate material
• Spin-Peierls instability of the U(1) Dirac spin liquid
• Observation of Supersymmetry and its Spontaneous Breaking in a Trapped Ion Quantum Simulator
• Thermal Hall Effect in the Kitaev-Heisenberg System with Spin-Phonon Coupling
• Unwinding Fermionic SPT Phases: Supersymmetry Extension
• Uncovering Emergent Spacetime Supersymmetry with Rydberg Atom Arrays
• Effects of spin-phonon coupling in frustrated Heisenberg models
• Fermion-induced quantum critical point in Dirac semimetals: a sign-problem-free quantum Monte Carlo study
• Boundary supersymmetry of 1+1 d fermionic SPT phases
• Supersymmetry on the lattice: Geometry, Topology, and Flat Bands
• Generalizations of Kitaev's honeycomb model from braided fusion categories
• Exact deconfined gauge structures in the higher-spin Yao-Lee model: a quantum spin-orbital liquid with spin fractionalization and non-Abelian anyons
• Lacing topological orders in two dimensions: exactly solvable models for Kitaev's sixteen-fold way
• Supersymmetry on the honeycomb lattice: resonating charge stripes, superfrustration, and domain walls
• Spin-Peierls instability of deconfined quantum critical points
• Supersymmetry dynamics on Rydberg atom arrays
• Spin-phonon coupling and thermal Hall effect in the Kitaev model
• Tuning magnetic interactions with nonequilibrium optical phonon populations: a theoretical study
• Stability of algebraic spin liquids coupled to quantum phonons