Giant boost of the quantum metric in disordered one dimensional flat band systems

Abstract

It is a well known fact, that the disorder has its most dramatic effects on the conventional quantum transport in one dimensional systems. In flat band (FB) systems, it is revealed that the conductivity at the FB energy is robust against the disorder and can even be tremendously boosted. Furthermore, challenging our understanding of the physical phenomena, the giant increase occurs in the limit of low FB states density. The singular behaviour of the quantum metric of the FB eigenstates is found to be at the heart of these unexpected and puzzling features. Our findings should have interesting fallout for other physical systems, and may as well open up engineering strategies to boost the critical temperature in two dimensional superconducting FB materials.

to appear in Phys. Rev. B

References in corpus (10)

• High temperature fractional quantum Hall states
• Fractional quantum Hall states at zero magnetic field
• The Kernel Polynomial Method
• Nearly-flat bands with nontrivial topology
• Flat bands and Wigner crystallization in the honeycomb optical lattice
• Negative flat band magnetism in a spin-orbit coupled correlated kagome magnet
• The $p_{x,y}$-orbital counterpart of graphene: cold atoms in the honeycomb optical lattice
• Bound on resistivity in flat-band materials due to the quantum metric
• RKKY Interactions in Graphene: Dependence on Disorder and Gate Voltage
• Carrier induced ferromagnetism in the insulating Mn doped III-V semiconductor InP

Cited by in corpus (14)

• The quantum geometric origin of capacitance in insulators
• Nontrivial quantum geometry of degenerate flat bands
• Flat band superconductivity in a system with a tunable quantum metric : the stub lattice
• Flat band induced room temperature ferromagnetism in two dimensional systems
• Possible high temperature superconducting transitions in disordered graphite obtained from room temperature deintercalated KC${}_8$
• Topological properties of a non-Hermitian quasi-1D chain with a flat band
• Enhanced quantum metric due to vacancies in graphene
• Drude weight of an interacting flat-band metal
• Scaling of the Integrated Quantum Metric in Disordered Topological Phases
• Correlation functions and characteristic lengthscales in flat band superconductors
• Engineering flux-controlled flat bands and topological states in a Stagome lattice
• Low-temperature scaling laws in unconventional flat-band superconductors
• Superfluid stiffness of superconductors with delicate topology
• Proximity-induced flat bands and topological properties in a decorated diamond chain