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.

arXiv comment4 pages, 1 figure. Accepted by PRL, published version

References in corpus (84)

• Anyons in an exactly solved model and beyond
• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• Topological entanglement entropy
• Mott Insulators in the Strong Spin-Orbit Coupling Limit: From Heisenberg to a Quantum Compass and Kitaev Models
• Detecting topological order in a ground state wave function
• Majorana quantization and half-integer thermal quantum Hall effect in a Kitaev spin liquid
• Spin-Orbit Physics Giving Rise to Novel Phases in Correlated Systems: Iridates and Related Materials
• Physics of the Kitaev model: fractionalization, dynamical correlations, and material connections
• The Flux-Phase of the Half-Filled Band
• An exact chiral spin liquid with non-Abelian anyons
• Emergent Space-time Supersymmetry at the Boundary of a Topological Phase
• Experimental identification of quantum spin liquids
• Fermions, strings, and gauge fields in lattice spin models
• Exactly solvable Kitaev model in three dimensions
• Emergent Supersymmetry from Strongly Interacting Majorana Zero Modes
• 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
• Thermal Transport in the Kitaev Model
• Spin-S Kitaev model: Classical Ground States, Order by Disorder and Exact Correlation Functions
• Lattice Models with N=2 Supersymmetry
• Quantization of the thermal Hall conductivity at small Hall angles
• Algebraic spin liquid in an exactly solvable spin model
• Frustration and quantum criticality
• Fermion-induced quantum critical points
• Approximately quantized thermal Hall effect of chiral liquids coupled to phonons
• Quantum order from string-net condensations and origin of light and massless fermions
• Bootstrapping the Three-Dimensional Supersymmetric Ising Model
• Lattice fermion models with supersymmetry
• Conformal field theories at non-zero temperature: operator product expansions, Monte Carlo, and holography
• Fermionic magnons, non-Abelian spinons, and spin quantum Hall effect from an exactly solvable Kitaev Hamiltonian with SU(2) symmetry
• Emergence of supersymmetry on the surface of three dimensional topological insulators
• Weyl spin liquids
• Microscopic models for Kitaev's sixteenfold way of anyon theories
• Confinement transition of ${\mathbb{Z}}_2$ gauge theories coupled to massless fermions: emergent QCD${}_3$ and $SO(5)$ symmetry
• Universal Signatures of Fractionalized Quantum Critical Points
• All Majorana Models with Translation Symmetry are Supersymmetric
• Nonadiabatic Approach to Spin-Peierls Transitions via Flow Equations
• A $\Gamma$-matrix generalization of the Kitaev model
• Universal Signatures of Quantum Critical Points from Finite-Size Torus Spectra: A Window into the Operator Content of Higher-Dimensional Conformal Field Theories
• Emergence of supersymmetric quantum electrodynamics
• Exact results for strongly-correlated fermions in 2+1 dimensions
• Peierls-like transition induced by frustration in a two-dimensional antiferromagnet
• Exact Chiral Spin Liquid with Stable Spin Fermi Surface on the Kagome Lattice
• Charge frustration and quantum criticality for strongly correlated fermions
• Spin-Peierls transition in the Heisenberg chain with finite-frequency phonons
• Phonon dynamics in the Kitaev spin liquid
• Microscopic definitions of anyon data
• Optical conductivity of topological surface states with emergent supersymmetry
• Fractionalized fermionic quantum criticality in spin-orbital Mott insulators
• Spin-Peierls Instability of Three-Dimensional Spin Liquids with Majorana Fermi Surfaces
• Observation of Emergent Spacetime Supersymmetry at Superconducting Quantum Criticality
• Edge quantum criticality and emergent supersymmetry in topological phases
• Emergent supersymmetry at the Ising-Berezinskii-Kosterlitz-Thouless multicritical point
• Non-local space-time supersymmetry on the lattice
• Phonon renormalization in the Kitaev quantum spin liquid
• Quantum lattice fluctuations in a frustrated Heisenberg spin-Peierls chain
• Fermion-induced quantum critical points in two-dimensional Dirac semimetals
• Possible Lattice Distortions in the Hubbard Model for Graphene
• Realization of supersymmetry and its spontaneous breaking in quantum Hall edges
• Exact ground states of a staggered supersymmetric model for lattice fermions
• Transition from the ${\mathbb{Z}}_2$ spin liquid to antiferromagnetic order: spectrum on the torus
• ${\mathbb{Z}}_2$ 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
• Supersymmetry in an interacting Majorana model on the kagome lattice
• Generalizations of Kitaev's honeycomb model from braided fusion categories
• Lattice vibration as a knob for novel quantum criticality: Emergence of supersymmetry from spin-lattice coupling
• Exact deconfined gauge structures in the higher-spin Yao-Lee model: a quantum spin-orbital liquid with spin fractionalization and non-Abelian anyons
• Spin-Peierls instability of deconfined quantum critical points
• 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
• Supersymmetry dynamics on Rydberg atom arrays
• Stability of algebraic spin liquids coupled to quantum phonons
• Tuning magnetic interactions with nonequilibrium optical phonon populations: a theoretical study
• Spin-phonon coupling and thermal Hall effect in the Kitaev model