Dissipation Induced Flat Bands

Abstract

Flat bands are an ideal environment to realize unconventional electronic phases. Here, we show that fermionic systems with dissipation governed by a Bloch Lindbladian can realize dispersionless bands for sufficiently strong coupling to an appropriately engineered bath. These flat bands emerge in a "dark space" of the system-environment coupling and are long-lived by virtue of symmetry protection from dissipation. We exhibit the robustness of this mechanism for general one and two band models with and without spin, and discuss conditions for their experimental realization such as in a 2D material on a superconducting substrate.

5+10 pages, 2 figures

References in corpus (10)

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Cited by in corpus (9)

• Third quantization of open quantum systems: new dissipative symmetries and connections to phase-space and Keldysh field theory formulations
• Topological phase diagrams of exactly solvable non-Hermitian interacting Kitaev chains
• Exceptional magic angles in non-Hermitian twisted bilayer graphene
• Linear and Non-Linear Response of Quadratic Lindbladians
• Dynamical Signatures of Liouvillian Flat Band
• Fate of localization features in a one-dimensional non-Hermitian flat-band lattice with quasiperiodic modulations
• Dissipation-Induced Steady States in Topological Superconductors: Mechanisms and Design Principles
• Exceptional flat bands in bipartite non-Hermitian lattices
• Weak localization and universal conductance fluctuations in large area twisted bilayer graphene