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  • 1512.01158v2

    Rights statement: © 2016 American Physical Society

    Accepted author manuscript, 946 KB, PDF document

    Available under license: CC BY-NC: Creative Commons Attribution-NonCommercial 4.0 International License

  • PhysRevLett.116.213901

    Rights statement: © 2016 American Physical Society

    Final published version, 606 KB, PDF document

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Universal sign control of coupling in tight-binding lattices

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Article number213901
<mark>Journal publication date</mark>27/05/2016
<mark>Journal</mark>Physical review letters
Issue number21
Volume116
Number of pages6
Publication statusPublished
Original languageEnglish

Abstract

We present a method of locally inverting the sign of the coupling term in tight-binding systems, by means of inserting a judiciously designed ancillary site and eigenmode matching of the resulting vertex triplet. Our technique can be universally applied to all lattice configurations, as long as the individual sites can be detuned. We experimentally verify this method in laser-written photonic lattices and confirm both the magnitude and the sign of the coupling by interferometric measurements. Based on these findings, we demonstrate how such universal sign-flipped coupling links can be embedded into extended lattice structures to impose a Z2-gauge transformation. This opens a new avenue for investigations on topological effects arising from magnetic fields with aperiodic flux patterns or in disordered systems.

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© 2016 American Physical Society