Journal
PHYSICAL REVIEW B
Volume 103, Issue 8, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.103.085408
Keywords
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Funding
- National Natural Science Foundation of China [11974201]
- Tsinghua University
- National Thousand-Young-Talents Program
- Frontier Science Center for Quantum Information of the Ministry of Education of China
- Tsinghua University Initiative Scientific Research Program
- National Key Research and Development Program of China [2016YFA0301902]
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Disorder effects in a two-dimensional system with chiral symmetry can induce a quadrupole topological insulating phase, with topological properties defined by effective boundary Hamiltonians, the quadrupole moment, and zero-energy corner modes. The study also reveals gapped and gapless topological phases, as well as a Griffiths regime, where states at zero energy become multifractal. The self-consistent Born approximation is applied to show that the induced topological phase arises from disorder-renormalized masses.
We study disorder effects in a two-dimensional system with chiral symmetry and find that disorder can induce a quadrupole topological insulating phase (a higher-order topological phase with quadrupole moments) from a topologically trivial phase. Their topological properties manifest in a topological invariant defined based on effective boundary Hamiltonians, the quadrupole moment, and zero-energy corner modes. We find gapped and gapless topological phases and a Griffiths regime. In the gapless topological phase, all the states are localized, while in the Griffiths regime, the states at zero energy become multifractal. We further apply the self-consistent Born approximation to show that the induced topological phase arises from disorder renormalized masses. We finally introduce a practical experimental scheme with topoelectrical circuits where the predicted topological phenomena can be observed by impedance measurements. Our work opens the door to studying higher-order topological Anderson insulators and their localization properties.
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