期刊
PHYSICAL REVIEW A
卷 90, 期 2, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevA.90.023813
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资金
- US Air Force Office of Scientific Research [FA9550-12-1-0207]
- NSF [DMS-1310200, CHE 1125935]
- Direct For Mathematical & Physical Scien
- Division Of Chemistry [1125935] Funding Source: National Science Foundation
- Division Of Mathematical Sciences
- Direct For Mathematical & Physical Scien [1310200] Funding Source: National Science Foundation
Traveling unidirectional localized edge states in optical honeycomb lattices are analytically constructed. They are found in honeycomb arrays of helical waveguides designed to induce a periodic pseudomagnetic field varying in the direction of propagation. Conditions on whether a given pseudofield supports a traveling edge mode are discussed; a special case of the pseudofields studied agrees with recent experiments. Interesting classes of dispersion relations are obtained. Envelopes of nonlinear edge modes are described by the classical one-dimensional nonlinear Schrodinger equation along the edge. Nonlinear states termed edge solitons are predicted analytically and are found numerically.
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