Amplitude mode at the superfluid-insulator transition on a random lattice

Abstract

We study the superfluid-insulator quantum phase transition of interacting bosons by means of large-scale Monte Carlo simulations in the presence of both topological and generic quenched disorders. Recent work has demonstrated that the amplitude mode at this transition broadens and localizes in the presence of dilution disorder, whereas it remains a well-defined delocalized excitation for topological (connectivity) disorder. Here, we analyze the crossover between systems with purely topological disorder and systems with additional bond randomness to disentangle the roles that disorder and interactions play for amplitude mode localization. Specifically, we analyze the scalar susceptibility and its spectral density on both sides of the quantum phase transition. We also discuss the implications of our results for the potential observation of amplitude mode localization in experiments.

submitted to the FQMT24 special issue of EPJ-ST

References in corpus (30)

• Higgs Amplitude Mode in BCS Superconductors Nb${}_{1-x}$Ti${}_x$N induced by Terahertz Pulse Excitation
• Amplitude / Higgs Modes in Condensed Matter Physics
• The superconductor-insulator transition in 2D dirty boson systems
• Critical exponents of the three dimensional diluted Ising model
• Higgs Mode in Superconductors
• Amplitude `Higgs' mode in 2H-NbSe2 Superconductor
• Zero--Temperature Quantum Phase Transition of a Two--Dimensional Ising Spin--Glass
• Disorder-induced rounding of certain quantum phase transitions
• Griffiths Singularities in the Disordered Phase of a Quantum Ising Spin Glass
• Quantum Griffiths effects in itinerant Heisenberg magnets
• Spectral functions of the Higgs mode near two-dimensional quantum critical points
• Phase transition of one dimensional bosons with strong disorder
• Effects of dissipation on a quantum critical point with disorder
• Quantum Griffiths Singularities in the Transverse-Field Ising Spin Glass
• Infinite-randomness quantum critical points induced by dissipation
• Theory of smeared quantum phase transitions
• The insulating phases and superfluid-insulator transition of disordered boson chains
• Dynamics and Conductivity Near Quantum Criticality
• Particle-hole symmetry and the dirty boson problem
• Exotic vs. conventional scaling and universality in a disordered bilayer quantum Heisenberg antiferromagnet
• Universal Properties of the Higgs Resonance in (2+1)-Dimensional U(1) Critical Systems
• Phase Transitions on Random Lattices: How Random is Topological Disorder?
• Quantum phase transitions of the diluted O(3) rotor model
• Quantum critical behavior of the superfluid-Mott glass transition
• Influence of superohmic dissipation on a disordered quantum critical point
• Collective modes at a disordered quantum phase transition
• Inhomogeneous mean-field approach to collective excitations in disordered interacting bosons
• Localization of the Higgs mode at the superfluid-Mott glass transition
• Multifractal analysis of electronic states on random Voronoi-Delaunay lattices
• Critical Behavior and Collective Modes at the Superfluid Transition in Amorphous Systems