Black hole on a chip: proposal for a physical realization of the SYK model in a solid-state system

Abstract

System of Majorana zero modes with random infinite range interactions -- the Sachdev-Ye-Kitaev (SYK) model -- is thought to exhibit an intriguing relation to the horizons of extremal black holes in two-dimensional anti-de Sitter (AdS${}_2$) space. This connection provides a rare example of holographic duality between a solvable quantum-mechanical model and dilaton gravity. Here we propose a physical realization of the SYK model in a solid state system. The proposed setup employs the Fu-Kane superconductor realized at the interface between a three dimensional topological insulator (TI) and an ordinary superconductor. The requisite $N$ Majorana zero modes are bound to a nanoscale hole fabricated in the superconductor that is threaded by $N$ quanta of magnetic flux. We show that when the system is tuned to the surface neutrality point (i.e. chemical potential coincident with the Dirac point of the TI surface state) and the hole has sufficiently irregular shape, the Majorana zero modes are described by the SYK Hamiltonian. We perform extensive numerical simulations to demonstrate that the system indeed exhibits physical properties expected of the SYK model, including thermodynamic quantities and two-point as well as four-point correlators, and discuss ways in which these can be observed experimentally.

arXiv comment16 pages, 9 figures; v3

References in corpus (49)

• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
• New directions in the pursuit of Majorana fermions in solid state systems
• Novel Symmetry Classes in Mesoscopic Normal-Superconducting Hybrid Structures
• A bound on chaos
• Evidence of Majorana fermions in an Al - InAs nanowire topological superconductor
• Observation of Majorana Fermions in Ferromagnetic Atomic Chains on a Superconductor
• Gapless Spin-Fluid Ground State in a Random Quantum Heisenberg Magnet
• Comments on the Sachdev-Ye-Kitaev model
• Search for Majorana fermions in superconductors
• Observation of Majorana Fermions in a Nb-InSb Nanowire-Nb Hybrid Quantum Device
• Observation of the fractional ac Josephson effect: the signature of Majorana particles
• Colloquium: Majorana Fermions in nuclear, particle and solid-state physics
• Introduction to topological superconductivity and Majorana fermions
• Topological Defects and Gapless Modes in Insulators and Superconductors
• Anomalous modulation of a zero bias peak in a hybrid nanowire-superconductor device
• Chaos in quantum channels
• The Spectrum in the Sachdev-Ye-Kitaev Model
• Electrically detected interferometry of Majorana fermions in a topological insulator
• Observation of Majorana fermions with spin selective Andreev reflection in the vortex of topological superconductor
• Majorana mode in vortex core of Bi2Te3/NbSe2 topological insulator-superconductor heterostructure
• Probing Neutral Majorana Fermion Edge Modes with Charge Transport
• Bekenstein-Hawking Entropy and Strange Metals
• Majorana Fermions in Semiconductor Nanowires: Fundamentals, Modeling, and Experiment
• Local criticality, diffusion and chaos in generalized Sachdev-Ye-Kitaev models
• Unconventional Josephson Effect in Hybrid Superconductor-Topological Insulator Devices
• Induced Superconductivity in the Quantum Spin Hall Edge
• Spectral and thermodynamic properties of the Sachdev-Ye-Kitaev model
• Gate-tuned normal and superconducting transport at the surface of a topological insulator
• Solvable model for a dynamical quantum phase transition from fast to slow scrambling
• Sachdev-Ye-Kitaev Model and Thermalization on the Boundary of Many-Body Localized Fermionic Symmetry Protected Topological States
• Numerical study of fermion and boson models with infinite-range random interactions
• Splitting of Majorana modes due to intervortex tunneling in a p + ip superconductor
• Quasiparticles in the vortex lattice of unconventional superconductors: Bloch waves or Landau levels?
• Momentum space imaging of Cooper pairing in a half-Dirac-gas topological superconductor (a helical 2D topological superconductor)
• Strong Superconducting Proximity Effect in Pb-Bi2Te3 Hybrid Structures
• Higher Dimensional Generalizations of the SYK Model
• Symmetry Protected Josephson Supercurrents in Three-Dimensional Topological Insulators
• Instability of the non-Fermi liquid state of the Sachdev-Ye-Kitaev Model
• Quasiparticles and Vortices in Unconventional Superconductors
• Tunneling of anyonic Majorana excitations in topological superconductors
• Proximity induced superconductivity by Bi in topological $B{i}_{2}T{e}_{2}Se$ and $B{i}_{2}S{e}_3$ films: Evidence for a robust zero energy bound state possibly due to Majorana Fermions
• Strongly interacting Majorana fermions
• Nanoscale assembly of superconducting vortices with scanning tunnelling microscope tip
• Electronic structure of topological superconductors in the presence of a vortex lattice
• Lattice model for the surface states of a topological insulator with applications to magnetic and exciton instabilities
• Majorana bands, Berry curvature, and thermal Hall conductivity in the vortex state of a chiral p-wave superconductor
• Quantum and thermal fluctuations in the SU(N) Heisenberg spin-glass model near the quantum critical point
• Interaction-enabled topological phases in topological insulator-superconductor heterostructures

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• Chaotic-Integrable Transition in the Sachdev-Ye-Kitaev Model
• Solvable Sachdev-Ye-Kitaev models in higher dimensions: from diffusion to many-body localization
• Approximating the Sachdev-Ye-Kitaev model with Majorana wires
• Quantum holography in a graphene flake with an irregular boundary
• Majorana nanowires for topological quantum computation
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• Thermofield dynamics: Quantum Chaos versus Decoherence
• Lindbladian dissipation of strongly-correlated quantum matter
• Revival dynamics in a traversable wormhole
• Quantum Gravity in the Lab: Teleportation by Size and Traversable Wormholes
• Spectral Filtering Induced by Non-Hermitian Evolution with Balanced Gain and Loss: Enhancing Quantum Chaos
• Optical lattice platform for the SYK model
• Interacting Majorana Fermions
• Thermoelectric power of Sachdev-Ye-Kitaev islands: Probing Bekenstein-Hawking entropy in quantum matter experiments
• Diffusion in higher dimensional SYK model with complex fermions
• Diagnosing quantum chaos in many-body systems using entanglement as a resource
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• Traversable wormhole and Hawking-Page transition in coupled complex SYK models
• Charge transport in graphene-based mesoscopic realizations of Sachdev-Ye-Kitaev models
• Low-high voltage duality in tunneling spectroscopy of the Sachdev-Ye-Kitaev model
• SYK model with quadratic perturbations: the route to a non-Fermi-liquid
• Genuine quantum advantage in non-linear bosonic quantum batteries
• Quenched vs Annealed: Glassiness from SK to SYK
• Effective dimension, level statistics, and integrability of Sachdev-Ye-Kitaev-like models
• Family of Sachdev-Ye-Kitaev models motivated by experimental considerations
• Thickening and sickening the SYK model
• Quantum tunneling dynamics in a complex-valued Sachdev-Ye-Kitaev model quench-coupled to a cool bath
• Supersymmetry in the nonsupersymmetric Sachdev-Ye-Kitaev model
• The tenfold way and many-body zero modes in the Sachdev-Ye-Kitaev model
• Conformality of $1/N$ corrections in SYK-like models
• Traversable wormhole in coupled SYK models with imbalanced interactions
• Deterministic Fast Scrambling with Neutral Atom Arrays
• Engineering SYK interactions in disordered graphene flakes under realistic experimental conditions
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• Stabilizer Entropy and entanglement complexity in the Sachdev-Ye-Kitaev model
• Solvable model for quantum criticality between Sachdev-Ye-Kitaev liquid and disordered Fermi liquid
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• Engineering Quantum Spin Liquids and Many-Body Majorana States with a Driven Superconducting Box Circuit
• Transport properties of an interacting Majorana chain
• Symmetry classes, many-body zero modes, and supersymmetry in the complex Sachdev-Ye-Kitaev model
• Isolated zeros in the spectral function as signature of a quantum continuum
• Sachdev-Ye-Kitaev type physics in the strained Kitaev honeycomb model
• Conductance and thermopower fluctuations in interacting quantum dots
• Strange metal phase of disordered magic-angle twisted bilayer graphene at low temperatures: from flatbands to weakly coupled Sachdev-Ye-Kitaev bundles
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• D-commuting SYK model: building quantum chaos from integrable blocks
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• Absence of operator growth for average equal-time observables in charge-conserved sectors of the Sachdev-Ye-Kitaev model
• Precise Low-Temperature Expansions for the Sachdev-Ye-Kitaev model
• Super-maximal chaos and instability
• Exotic quantum statistics and thermodynamics from a number-conserving theory of Majorana fermions
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• Sachdev-Ye-Kitaev physics from the Hubbard model: A Floquet engineering approach
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• Analog charged black hole formation via percolation: Exploring cosmic censorship and Hoop conjecture
• Many-body spectral transitions through the lens of the variable-range SYK2 model
• From single-particle to many-body chaos in Yukawa--SYK: theory and a cavity-QED proposal
• A proposal to extract and enhance four-Majorana interactions in hybrid nanowires
• Realizing Unitary $k$-designs with a Single Quench
• Phase Thermalization: from Fermi Liquid to Incoherent Metal
• Noise signatures of a charged Sachdev-Ye-Kitaev dot in mesoscopic transport
• Unveiling In-Gap States and Majorana Zero Modes in Superconductor-Topological Insulator Bilayer model
• Near-Equilibrium Approach to Transport in Complex Sachdev-Ye-Kitaev Models