Journal
PHYSICAL REVIEW X
Volume 6, Issue 2, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevX.6.021013
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Funding
- U.S.-Israel Bi-National Science foundation
- I-Core, the Israeli excellence center Circle of Light
- People Programme (Marie Curie Actions) of the European Union's Seventh Framework Programme [631696]
- European Research Council (ERC) under the European Union [639172]
- Minerva foundation
- CIG Marie Curie grant
- Israel Science foundation
- Villum Foundation
- People Programme (Marie Curie Actions) of the European Union's Seventh Framework Programme under REA Grant [PIIF-GA-2013-627838]
- NSF [DMR-1410435]
- Institute of Quantum Information and Matter, a NSF Frontier center - Gordon and Betty Moore Foundation
- Packard Foundation
- Villum Fonden [00007365] Funding Source: researchfish
- European Research Council (ERC) [639172] Funding Source: European Research Council (ERC)
- Direct For Mathematical & Physical Scien
- Division Of Materials Research [1410435] Funding Source: National Science Foundation
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We show that two-dimensional periodically driven quantum systems with spatial disorder admit a unique topological phase, which we call the anomalous Floquet-Anderson insulator (AFAI). The AFAI is characterized by a quasienergy spectrum featuring chiral edge modes coexisting with a fully localized bulk. Such a spectrum is impossible for a time-independent, local Hamiltonian. These unique characteristics of the AFAI give rise to a new topologically protected nonequilibrium transport phenomenon: quantized, yet nonadiabatic, charge pumping. We identify the topological invariants that distinguish the AFAI from a trivial, fully localized phase, and show that the two phases are separated by a phase transition.
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