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We compare the energies of different electron solids, such as bubble crystals with triangular and square symmetry and stripe phases, to those of correlated quantum liquids in partially filled intermediate Landau levels. Multiple transitions…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. O. Goerbig , P. Lederer , C. Morais Smith

We experimentally investigate interference effects in transport across a single incompressible strip at the edge of the quantum Hall system by using a Fabry-Perot type interferometer. We find the interference oscillations in transport…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 E. V. Deviatov , B. Marquardt , A. Lorke , G. Biasiol , L. Sorba

We study quench dynamics of bosonic fractional quantum Hall systems in small lattices with cylindrical boundary conditions and low particle density. The states studied have quasiholes or quasiparticles relative to the bosonic Laughlin state…

Mesoscale and Nanoscale Physics · Physics 2024-02-12 Xikun Li , Błażej Jaworowski , Masudul Haque , Anne E. B. Nielsen

Anyonic Fabry-P\'erot and Mach-Zehnder interferometers have been proposed theoretically and implemented experimentally as tools to probe electric charges and statistics of anyons. The experimentally observed visibility of Aharonov-Bohm…

Mesoscale and Nanoscale Physics · Physics 2024-01-04 Navketan Batra , Zezhu Wei , Smitha Vishveshwara , D. E. Feldman

A half-mirror that divides a spin-polarized electron into two parallel copropagating spin-resolved quantum Hall edge channels one half each is presented in this study. The partition process was coherent, as confirmed by observing the…

Mesoscale and Nanoscale Physics · Physics 2025-05-30 Takase Shimizu , Jun-ichiro Ohe , Akira Endo , Taketomo Nakamura , Shingo Katsumoto

We present and analyze a protocol in which polaritons in a noncoplanar optical cavity form fractional quantum Hall states. We model the formation of these states and present techniques for subsequently creating anyons and measuring their…

Quantum Gases · Physics 2018-03-16 Shovan Dutta , Erich J. Mueller

The charge and exchange statistics of an elementary excitation manifest in quantum coherent oscillations that can be explored in interferometry measurements. Quantum Hall interferometers are primary tools to uncover unconventional quantum…

Mesoscale and Nanoscale Physics · Physics 2023-02-08 Hailong Fu , Ke Huang , Kenji Watanabe , Takashi Taniguchi , Morteza Kayyalha , Jun Zhu

Current statistics of an antidot in the fractional quantum Hall regime is studied for Laughlin's series. The chiral Luttinger liquid picture of edge states with a renormalized interaction exponent $g$ is adopted. Several peculiar features…

Mesoscale and Nanoscale Physics · Physics 2007-07-10 Matteo Merlo , Alessandro Braggio , Nicodemo Magnoli , Maura Sassetti

Strongly interacting topological matter exhibits fundamentally new phenomena with potential applications in quantum information technology. Emblematic instances are fractional quantum Hall states, where the interplay of magnetic fields and…

The question of anyon interactions and their possible binding plays a key role in the physics of fractional quantum Hall states. Here, we introduce a controlled and scalable approach to study anyon binding by working entirely within the…

Strongly Correlated Electrons · Physics 2026-03-27 Qingchen Li , Pavel A. Nosov , Taige Wang , Eslam Khalaf

Remarkable nonlinearities in the differential tunneling conductance between fractional quantum Hall edge states at a constriction are observed in the weak-backscattering regime. In the $\nu $ = 1/3 state a peak develops as temperature is…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Stefano Roddaro , Vittorio Pellegrini , Fabio Beltram , Giorgio Biasiol , Lucia Sorba , Roberto Raimondi , Giovanni Vignale

We propose a class of variational wave functions with slow variation in spin and charge density and simple vortex structure at infinity, which properly generalize both the Laughlin quasiparticles and baby Skyrmions. We argue that the spin…

Condensed Matter · Physics 2009-10-28 Chetan Nayak , Frank Wilczek

We study the recently observed graphene fractional quantum Hall state at a filling factor $\nu_G=1/3$ using a four-component trial wave function and exact diagonalization calculations. Although it is adiabatically connected to a 1/3…

Mesoscale and Nanoscale Physics · Physics 2010-10-22 Z. Papic , M. O. Goerbig , N. Regnault

We propose a scheme to produce time bin entangled pairs of electrons and holes based on high frequency time-resolved single electron emission from a quantum dot coupled to 1D chiral channels. At first order in the tunneling rate, an…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 Luca Chirolli , Vittorio Giovannetti , Rosario Fazio , Valerio Scarani

The phenomenon of fractional quantum Hall effect (FQHE) was first experimentally observed 33 years ago. FQHE involves strong Coulomb interactions and correlations among the electrons, which leads to quasiparticles with fractional elementary…

Mesoscale and Nanoscale Physics · Physics 2015-01-05 Xi Lin , Rui -Rui Du , Xincheng Xie

We prove a generic spin-statistics relation for the fractional quasiparticles that appear in abelian quantum Hall states on the disk. The proof is based on an efficient way for computing the Berry phase acquired by a generic quasiparticle…

Mesoscale and Nanoscale Physics · Physics 2023-08-01 Alberto Nardin , Eddy Ardonne , Leonardo Mazza

We present a numerical study of a multichannel electronic Mach-Zehnder interferometer, based on magnetically-driven non-interacting edge states. The electron path is defined by a full-scale potential landscape on the two-dimensional…

Mesoscale and Nanoscale Physics · Physics 2018-05-23 Laura Bellentani , Andrea Beggi , Paolo Bordone , Andrea Bertoni

We revisit the physics of electron gas bilayers in the quantum Hall regime [Nature, 432 (2004) 691; Science, 305 (2004) 950], where transport and tunneling measurements provided evidence of a superfluid phase being present in the system.…

Mesoscale and Nanoscale Physics · Physics 2015-03-19 O. Kyriienko , K. Wierschem , P. Sengupta , I. A. Shelykh

We study the resonant tunneling of quasiparticles through an impurity between the edges of a Fractional Quantum Hall sample. We show that the one-particle momentum distribution of fractionally charged edge quasiparticles has a quasi-Fermi…

Condensed Matter · Physics 2009-10-22 V. L. Pokrovsky , L. P. Pryadko

Mach-Zehnder interferometry has been proposed as a probe for detecting the statistics of anyonic quasiparticles in fractional quantum Hall (FQH) states. Here we focus on interferometers made of multimode edge states with upstream modes. We…

Mesoscale and Nanoscale Physics · Physics 2017-01-10 Moshe Goldstein , Yuval Gefen