# Interplay of superconductivity and dissipation in quantum Hall edges

## Authors

Noam Schiller, Barak A. Katzir, Ady Stern, Erez Berg, Netanel H. Lindner, Yuval Oreg

## Abstract

Systems harboring parafermion zero-modes hold promise as platforms for topological quantum computation. Recent experimental work (Gül et al., arXiv:2009.07836) provided evidence for proximity-induced superconductivity in fractional quantum Hall edges, a prerequisite in proposed realizations of parafermion zero-modes. The main evidence was the observation of a crossed Andreev reflection signal, in which electrons enter the superconductor from one chiral mode and are reflected as holes to another, counter-propagating chiral mode. Remarkably, while the probability for cross Andreev reflection was much smaller than one, it was stronger for $\nu=1/3$ fractional quantum Hall edges than for integer ones. We theoretically explain these findings, including the relative strengths of the signals in the two cases and their qualitatively different temperature dependencies. Beyond the coupling of the two counter-propagating modes through Andreev reflection and back-scattering, an essential part of our model is the coupling of the edge modes to normal states in the cores of Abrikosov vortices located close to the edges. These vortices are made dense by the magnetic field needed to form the quantum Hall states, and provide a metallic bath to which the edges are tunnel-coupled. The stronger crossed Andreev reflection in the fractional case originates from the suppression of electronic tunneling between the bath and the fractional quantum Hall edges. Our theory shows that the mere observation of crossed Andreev reflection signal does not necessarily imply the presence of localized parafermion zero-modes, and suggests ways to identify their presence from the behavior of this signal in the low-temperature limit.

##### Recommended SciCasts
afizmaylov123 views
sankalpa91 views
###### Multiparameter behavioral analyses provide insights to mechanisms of cyanide resistance in caenorhabditis elegans
Jiahua Xu85 views
###### Boson Sampling for Generalized Bosons
vmgalitski472 views
###### A Runtime Environment for Contract Automata
Jiahua Xu126 views
###### The Anatomy of a Cryptocurrency Pump-and-Dump Scheme
afizmaylov147 views
mbragin184 views
###### Surrogate "Level-Based" Lagrangian Relaxation for Mixed-Integer Linear Programming
Christine 153 views
liao140 views
###### Field theory approach to eigenstate thermalization in random quantum circuits
koshelev182 views
###### Spin waves and high-frequency response in layered superconductors with helical magnetic structure
mikesilaev270 views
###### Fractionalized superconductors and topological orders
mikesilaev191 views
###### Strongly-Correlated Electron-Photon Systems
Ivar Martin120 views
###### Amplitude modulated sinusoidal microchannels for observing adaptability in C. elegans locomotion
afizmaylov146 views
###### Strongly-Correlated Electron-Photon Systems
Jiahua Xu130 views
ayan156 views
###### ScienceCast/arXiv collaboration: What is ScienceCast & how to use it?
afizmaylov103 views
###### Strong lensing selection effects
afizmaylov162 views
###### Measurements in the Variational Quantum Eigensolver: Fluid Fermionic Fragments and Ghost Pauli Products
afizmaylov131 views
###### NephroNet: A Novel Program for Identifying Renal Cell Carcinoma and Generating Synthetic Training Images with Convolutional Neural Networks and Diffusion Models
AQC team219 views
###### From Quantum Science to Business: Hype vs. Reality
pourdamghani108 views
###### Learning 3D Human Pose Estimation from Dozens of Datasets using a Geometry-Aware Autoencoder to Bridge Between Skeleton Formats
Ivar Martin142 views
amitv118 views
###### New Extraction of the Cosmic Birefringence from the Planck 2018 Polarization Data
yuval-oreg102 views
###### Interplay of superconductivity and dissipation in quantum Hall edges
Vito Scarola109 views
###### Evidence of near-ambient superconductivity in a N-doped lutetium hydride
afizmaylov217 views
###### Motorized actuation system to perform droplet operations on printed plastic sheets
Vito Scarola123 views
myersn128 views
###### Spin-plasma waves
AQC team241 views
###### Academic Perspective on Quantum Technologies
afizmaylov144 views
###### A Generic Topological Criterion for Flat Bands in Two Dimensions
koshelev138 views
###### Interplay between superconductivity and magnetic fluctuations in iron pnictide RbEuFe4As4
Jiahua Xu178 views
###### SoK: Yield Aggregators in DeFi
Jiahua Xu152 views
###### The ANITA Anomalous Events as Signatures of a Beyond Standard Model Particle, and Supporting Observations from IceCube
afizmaylov113 views