Flat band states: Disorder and nonlinearity
We study the critical behavior of Anderson localized modes near intersecting flat and dispersive bands in the quasi-one-dimensional diamond ladder with weak diagonal disorder W. The localization length [xi] of the flat band states scales with disorder as [xi] ~ W super(- gamma ), with gamma approxim...
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| Veröffentlicht in: | Physical review. B, Condensed matter and materials physics Condensed matter and materials physics, 2013-12, Vol.88 (22), Article 224203 |
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| container_title | Physical review. B, Condensed matter and materials physics |
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| creator | Leykam, Daniel Flach, Sergej Bahat-Treidel, Omri Desyatnikov, Anton S. |
| description | We study the critical behavior of Anderson localized modes near intersecting flat and dispersive bands in the quasi-one-dimensional diamond ladder with weak diagonal disorder W. The localization length [xi] of the flat band states scales with disorder as [xi] ~ W super(- gamma ), with gamma approximately 1.3, in contrast to the dispersive bands with gamma = 2. A small fraction of dispersive modes mixed with the flat band states is responsible for the unusual scaling. Anderson localization is therefore controlled by two different length scales. Nonlinearity can produce qualitatively different wave spreading regimes, from enhanced expansion to resonant tunneling and self-trapping. |
| doi_str_mv | 10.1103/PhysRevB.88.224203 |
| format | Article |
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B, Condensed matter and materials physics</title><description>We study the critical behavior of Anderson localized modes near intersecting flat and dispersive bands in the quasi-one-dimensional diamond ladder with weak diagonal disorder W. The localization length [xi] of the flat band states scales with disorder as [xi] ~ W super(- gamma ), with gamma approximately 1.3, in contrast to the dispersive bands with gamma = 2. A small fraction of dispersive modes mixed with the flat band states is responsible for the unusual scaling. Anderson localization is therefore controlled by two different length scales. 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A small fraction of dispersive modes mixed with the flat band states is responsible for the unusual scaling. Anderson localization is therefore controlled by two different length scales. Nonlinearity can produce qualitatively different wave spreading regimes, from enhanced expansion to resonant tunneling and self-trapping.</abstract><doi>10.1103/PhysRevB.88.224203</doi><oa>free_for_read</oa></addata></record> |
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| ispartof | Physical review. B, Condensed matter and materials physics, 2013-12, Vol.88 (22), Article 224203 |
| issn | 1098-0121 1550-235X |
| language | eng |
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| source | American Physical Society Journals |
| subjects | Bands Condensed matter Diamonds Disorders Flats Ladders Nonlinearity Resonant tunneling Spreading |
| title | Flat band states: Disorder and nonlinearity |
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