Quantum holography in a graphene flake with an irregular boundary

Abstract

Electrons in clean macroscopic samples of graphene exhibit an astonishing variety of quantum phases when strong perpendicular magnetic field is applied. These include integer and fractional quantum Hall states as well as symmetry broken phases and quantum Hall ferromagnetism. Here we show that mesoscopic graphene flakes in the regime of strong disorder and magnetic field can exhibit another remarkable quantum phase described by holographic duality to an extremal black hole in two dimensional anti-de Sitter space. This phase of matter can be characterized as a maximally chaotic non-Fermi liquid since it is described by a complex fermion version of the Sachdev-Ye-Kitaev model known to possess these remarkable properties.

arXiv comment5 pages main text plus 4 pages supplement; V2 published version

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Cited by in corpus (83)

• Quantum advantage in the charging process of Sachdev-Ye-Kitaev batteries
• Sachdev-Ye-Kitaev Models and Beyond: A Window into Non-Fermi Liquids
• Colloquium: Quantum Batteries
• Many-Body Chaos in the Sachdev-Ye-Kitaev Model
• Ultra-stable charging of fast-scrambling SYK quantum batteries
• Treelike interactions and fast scrambling with cold atoms
• Thermofield dynamics: Quantum Chaos versus Decoherence
• Lindbladian dissipation of strongly-correlated quantum matter
• Minimal Model for Fast Scrambling
• Revival dynamics in a traversable wormhole
• Optical lattice platform for the SYK model
• Information scrambling vs. decoherence -- two competing sinks for entropy
• Universal Entanglement Transitions of Free Fermions with Long-range Non-unitary Dynamics
• Periodically Driven Sachdev-Ye-Kitaev Models
• Thermoelectric power of Sachdev-Ye-Kitaev islands: Probing Bekenstein-Hawking entropy in quantum matter experiments
• Interacting Majorana Fermions
• Diagnosing quantum chaos in many-body systems using entanglement as a resource
• Traversable wormhole and Hawking-Page transition in coupled complex SYK models
• Quantum phase transitions of interacting bosons on hyperbolic lattices
• Quantum operator growth bounds for kicked tops and semiclassical spin chains
• Charge transport in graphene-based mesoscopic realizations of Sachdev-Ye-Kitaev models
• Low-rank Sachdev-Ye-Kitaev models
• Low-high voltage duality in tunneling spectroscopy of the Sachdev-Ye-Kitaev model
• Bound on quantum scrambling with all-to-all interactions
• Superconducting instabilities in a spinful 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
• Thickening and sickening the SYK model
• Crystallographic Characterization of Black Phosphorene and Its Application in Nanostructures
• Quantum tunneling dynamics in a complex-valued Sachdev-Ye-Kitaev model quench-coupled to a cool bath
• Origin of band flatness and constraints of higher Chern numbers
• Perturbed Sachdev-Ye-Kitaev model: a polaron in the hyperbolic plane
• The tenfold way and many-body zero modes in the Sachdev-Ye-Kitaev model
• Optimal Frobenius light cone in spin chains with power-law interactions
• Quantum Batteries: A Materials Science Perspective
• Tunneling through an Eternal Traversable Wormhole
• Refined quantum Lyapunov exponents from replica out-of-time-order correlators
• Engineering SYK interactions in disordered graphene flakes under realistic experimental conditions
• Stabilizer Entropy and entanglement complexity in the Sachdev-Ye-Kitaev model
• Surprises in the Deep Hilbert Space of all-to-all systems: From super-exponential scrambling to slow entanglement growth
• SYK wormhole formation in real time
• Solvable model for quantum criticality between Sachdev-Ye-Kitaev liquid and disordered Fermi liquid
• Out-of-time-ordered correlators of the Hubbard model: SYK strange metal in the spin freezing crossover region
• Scrambling dynamics and many-body chaos in a random dipolar spin model
• Unveiling operator growth in SYK quench dynamics
• Isolated flat bands in 2D lattices based on a novel path-exchange symmetry
• Operator growth bounds in a cartoon matrix model
• Magneto-Thermoelectric Transport in Graphene Quantum Dot with Strong Correlations
• Electron traversal times in disordered graphene nanoribbons
• Quantum thermal transport in the charged Sachdev-Ye-Kitaev model: Thermoelectric Coulomb blockade
• Universal equilibration dynamics of the Sachdev-Ye-Kitaev model
• Gapless odd-frequency superconductivity induced by the Sachdev-Ye-Kitaev model
• One SYK SET
• Symmetry classes, many-body zero modes, and supersymmetry in the complex Sachdev-Ye-Kitaev model
• Planckian superconductor
• 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
• Chaos in a quantum rotor model
• Strange metal phase of disordered magic-angle twisted bilayer graphene at low temperatures: from flatbands to weakly coupled Sachdev-Ye-Kitaev bundles
• D-commuting SYK model: building quantum chaos from integrable blocks
• Time dependent Entanglement Entropy in SYK models and Page Curve
• Engineering holography with stabilizer graph codes
• SYK does not Transit Gloria Mundi just yet
• Absence of operator growth for average equal-time observables in charge-conserved sectors of the Sachdev-Ye-Kitaev model
• Mimicking black hole event horizons in atomic and solid-state systems
• Probing Entanglement Dynamics in the SYK Model using Quantum Computers
• Precise Low-Temperature Expansions for the Sachdev-Ye-Kitaev model
• Two-local modifications of SYK model with quantum chaos
• Statistic behaviors of gauge-invariance-dominated 1D chiral current random model
• Quantum simulations of complex systems
• Statistic physics in bound state in 3D fermi gas system
• Anomalous Transition Magnetic Moments in two-dimensional Dirac Materials
• No-go theorem for environment-assisted invariance in non-unitary dynamics
• Strange Metal to Insulator Transitions in the Lowest Landau Level
• Lyapunov exponents in a Sachdev-Ye-Kitaev-type model with population imbalance in the conformal limit and beyond
• Sachdev-Ye-Kitaev physics from the Hubbard model: A Floquet engineering approach
• A proposal to extract and enhance four-Majorana interactions in hybrid nanowires
• Realizing Unitary $k$-designs with a Single Quench
• Near-Equilibrium Approach to Transport in Complex Sachdev-Ye-Kitaev Models
• Noise signatures of a charged Sachdev-Ye-Kitaev dot in mesoscopic transport
• Josephson current through the SYK model
• Many-body spectral transitions through the lens of the variable-range SYK2 model