Finite-time scaling beyond the Kibble-Zurek prerequisite in Dirac systems

Abstract

The conventional Kibble-Zurek mechanism and the finite-time scaling provide universal descriptions of the driven critical dynamics from gapped initial states based on the adiabatic-impulse scenario. Here we investigate the driven critical dynamics in two-dimensional Dirac systems, which harbor semimetal and Mott insulator phases separated by the quantum critical point triggered by the interplay between fluctuations of gapless Dirac fermions and order parameter bosons. We find that despite the existence of the gapless initial phase, the driven dynamics can still be captured by the finite-time scaling form. This leads us to propose a criterion for the validity of Kibble-Zurek mechanism with a gapless initial state. Accordingly, our results generalize the Kibble-Zurek theory to incorporate composite fluctuations and relax its requirement for a gapped initial state to systems accommodating gapless Dirac fermionic excitations. Our work not only brings fundamental perspective into the nonequilibrium critical dynamics, but also provides an approach to fathom quantum critical properties in fermionic systems.

9+5 pages, 5+3 figures

References in corpus (23)

• The electronic properties of graphene
• Quantum Phases of Matter on a 256-Atom Programmable Quantum Simulator
• Interactions and phase transitions on graphene's honeycomb lattice
• Universal adiabatic dynamics across a quantum critical point
• Quantum Optimization of Maximum Independent Set using Rydberg Atom Arrays
• Supplementary Information to the paper ``Breakdown of the adiabatic limit in low dimensional gapless systems''
• Breakdown of the adiabatic limit in low dimensional gapless systems
• Quantum critical dynamics in a 5000-qubit programmable spin glass
• Fermionic quantum criticality in honeycomb and $\pi$-flux Hubbard models: Finite-size scaling of renormalization-group-invariant observables from quantum Monte Carlo
• Fermionic Quantum Critical Point of Spinless Fermions on a Honeycomb Lattice
• Dynamical non-ergodic scaling in continuous finite-order quantum phase transitions
• Quantum phase transition dynamics in the two-dimensional transverse-field Ising model
• Quenching along a gapless line: A different exponent for defect density
• Four loop renormalization of the Gross-Neveu model
• Quantum versus classical annealing: insights from scaling theory and results for spin glasses on 3-regular graphs
• Kibble-Zurek mechanism of Ising domains
• Observation of unitary p-wave interactions between fermions in an optical lattice
• Universal Scaling of the Dynamic BKT Transition in Quenched 2D Bose Gases
• Quantum criticality using a superconducting quantum processor
• Chiral Ising Gross-Neveu criticality of a single Dirac cone: A quantum Monte Carlo study
• Scaling in driven dynamics starting in the vicinity of a quantum critical point
• Resolving chiral transitions in Rydberg arrays with quantum Kibble-Zurek mechanism and finite-time scaling
• Probing critical behavior of long-range transverse-field Ising model through quantum Kibble-Zurek mechanism

Cited by in corpus (7)

• Imaginary-time Mpemba effect in quantum many-body systems
• Nonequilibrium Critical Dynamics with Emergent Supersymmetry
• Nonequilibrium Dynamics of Dirac Quantum Criticality in Imaginary Time
• Driven Critical Dynamics in Tricitical Point
• Separation of the Kibble-Zurek Mechanism from Quantum Criticality
• Finite-time scaling with two characteristic time scales: Driven critical dynamics with emergent symmetry
• Anomalous Dynamical Scaling at Topological Quantum Criticality