Engineering the Coherency of Fractional and Non-Abelian Electronic Interferometers

• Applicant: Professor Dr. Bernd Rosenow
• Co-Applicant: Professor Dr. Yuval Gefen
• Subject Area: Theoretical Condensed Matter Physics
• Term: from 2014 to 2019
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 253312772

• Final Report Year: 2020

Final Report Abstract

The complex structure of fractional quantum Hall edges with ubiquitous neutral modes affects experiments deeply. In several projects we have analyzed the effect of neutral modes on quantum Hall interferometry (in both Fabry-Pérot and Mach-Zender devices), and have identified parameter regimes in which it will be possible to detect fractional interference. Recent experiments have highlighted the importance of neutral modes for heat transport, motivating us to develop a framework to study heat transport and thermally generated noise in the presence of neutral modes. In particular, we have analyzed conditions under which charge transport may be quantized while heat transport deviates from the universal value predicted by the thermal Hall conductance. All in all, we feel that this project has been successful in highlighting the complexity of the edge of FQH phases, and, at the same time, took us significantly closer to portraying a coherent picture of this rich physics. The DFG project has made it possible to deepen the collaboration between the groups of Prof. Rosenow at Leipzig university and Prof. Gefen at the Weizmann institute. In addition to the joint publications in the context of this project, mutual sabbatical stays of Prof. Rosenow in Rehovot and Prof. Gefen in Leipzig have strengthened this fruitful and continuing collaboration.

Publications

• Coulomb blockade with neutral modes, Phys. Rev. Lett. 114, 156401 (2015)
  Alex Kamenev and Yuval Gefen
  
• Enhanced bulk-edge Coulomb coupling in Fractional Fabry-Perot interferometers, Phys. Rev. Lett. 115, 126807 (2015)
  C.W. von Keyserlingk, S.H. Simon, and Bernd Rosenow
  
• Intermediate fixed point in a Luttinger liquid with elastic and dissipative backscattering, Phys. Rev. B 92, 085124 (2015)
  Alexander Altland, Yuval Gefen, Bernd Rosenow
  
• Suppression of interference in quantum Hall Mach-Zehnder geometry by upstream neutral modes, Phys. Rev. Lett. 117, 276804 (2016)
  Moshe Goldstein and Yuval Gefen
  
• Topological vacuum bubble by anyon braiding, Nat. Commun. 7, 11131 (2016)
  Cheolhee Han, Jinhong Park, Yuval Gefen, and H. -S. Sim
  
• Edge reconstruction in fractional quantum Hall states, Nature Physics 13, 491 (2017)
  Ron Sabo, Itamar Gurman, Amir Rosenblatt, Fabien Lafont, Daniel Banitt, Jinhong Park, Moty Heiblum, Yuval Gefen, Vladimir Umansky, Diana Mahalu
  
• Negative permittivity in bubble and stripe phases, Nature Physics 13, 1124 (2017)
  B. Friess, Y. Peng, B. Rosenow, F. von Oppen, V. Umansky, K. von Klitzing, and J.H. Smet
  
• Transient Features in Charge Fractionalization, Local Equilibration and Non-equilibrium Bosonization, SciPost Phys. 2, 007 (2017)
  Alexander Schneider, Mirco Milletari, and Bernd Rosenow
  
• Incoherent transport on the ν = 2/ 3 quantum Hall edge, Phys. Rev. B 98, 115408 (2018)
  Casey Nosiglia, Jinhong Park, Bernd Rosenow, and Yuval Gefen
  
• Noise on complex quantum Hall edges: Chiral anomaly and heat diffusion, Phys. Rev. B 99, 161302 (2019)
  Jinhong Park, Alexander D. Mirlin, Bernd Rosenow, and Yuval Gefen
  
• Subperiods and apparent pairing in integer quantum Hall interferometers, Europhys. Lett. 126, 67007 (2019)
  Giovanni A. Frigeri, Daniel D. Scherer, and Bernd Rosenow
  
• Partial Equilibration of the Anti-Pfaffian edge due to Majorana Disorder, Phys. Rev. Lett. 124, 126801 (2020)
  Steven H. Simon and Bernd Rosenow