Spin-Mode-Switching at the nu=3 edge

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Presentation transcript:

Spin-Mode-Switching at the nu=3 edge Ganpathy Murthy Mizpe Ramon, May 31, 2018 University of Kentucky, and the Technion

Acknowledgements NSF, US-Israel BSF, Aspen Center for Physics Lady Davis Fellowship from the Technion Udit Khanna, GM, Sumathi Rao, and Yuval Gefen, PRL 119, 186804 (2017).

A somewhat lesser known collaborator

Outline Mode-Switching at nu=3 The QHE Why study Quantum Hall Edges? Edge Reconstruction: Review Mode-Switching at nu=3 Experimental Signatures Conclusions

The Quantum Hall Effects

Quantum Hall Edges

Properties of Quantum Hall Edges Each edge mode is chiral. In the noninteracting integer QHE each mode carries a charge of e. The sum of the charge times chirality is the Hall conductance, which is a quantized, topologically protected, property of the bulk. In Abelian quantum Hall states, the sum of the chiralities of the modes is the thermal Hall conductance, another quantized and topologically protected property. Subject to these constraints, anything can happen depending on the details of interactions, disorder, and the confining edge potential.

Some recent puzzling/exciting phenomena at the edge A nu=2/3 edge mode in a bulk nu=1 sample (Venkatachalam et al 2012). “Pairing” of electrons near nu=3 (Choi et al 2014). 1/3 edge modes seen in a nu=2/3 bulk sample (Sabo et al, 2017). Observation of fractional thermal Hall conductance at nu=5/2 (Banerjee et al, arXiv:1710).

Edge Reconstruction Review Wang, Meir, Gefen, 2017

Chamon and Wen, 1994

An even more complicated case

The nu=3 bulk

An Argument for a reconstruction

Two New Edge Phases!

Hartree Fock Results

Some Obvious Questions Level crossings or avoided crossings? What is the order of the transition? What is the order parameter, if any? What is the “driving force” behind the transition?

All crossings are avoided in unrestricted HF

The transitions are first-order in the order parameter

The electronic density doesn’t change through the transition

Experimental Signatures in setups with QPCs Spin Transport

Charge Transport: Strong Plateau

Charge Transport: Weak Plateau

Conclusions and Open Questions We have discovered a new kind of edge reconstruction driven purely by exchange. Spin-Mode-Switching has very striking signatures in spin transport, and more subtle ones in charge transport. Should occur for other integer and even fractional states which have partial polarization. Is there a neutral spin mode? If so, there would be an upstream chiral and decoherence.

Thanks and Happy Birthday, Yigal!

The spin rotations of the two occupied states in Phase B