Article
Materials Science, Multidisciplinary
Liangdong Hu, W. Zhu
Summary: Our study investigates the ground-state properties of the fractional quantum Hall effect at filling factors nu = 2/3 and 2 + 2/3, with a special focus on typical edge physics. By utilizing a topological characterization scheme and constructing interfaces, we identify the nature of these states and demonstrate edge reconstruction through visualizing edge channels.
Article
Materials Science, Multidisciplinary
Bartholomew Andrews, Madhav Mohan, Titus Neupert
Summary: Determining the statistics of elementary excitations supported by fractional quantum Hall states is crucial for understanding their properties and potential applications. The use of topological entanglement entropy to investigate single-component nu = 2/5 and 3/7 states in the Hofstadter model reveals Abelian topological order. Many-body simulations using the infinite cylinder density matrix renormalization group were conducted, presenting an efficient algorithm to construct the area law of entanglement.
Article
Multidisciplinary Sciences
Bivas Dutta, Wenmin Yang, Ron Melcer, Hemanta Kumar Kundu, Moty Heiblum, Vladimir Umansky, Yuval Oreg, Ady Stern, David Mross
Summary: Quantum Hall states have unique quantum phases characterized by gapless edge modes. The most studied nonabelian state is the spin-polarized filling factor 5/2, which can have different topological orders. By interfacing this state with another, we were able to identify its topological order as the particle-hole Pfaffian (PH-Pf) order.
Article
Physics, Multidisciplinary
Tian-Sheng Zeng, Liangdong Hu, W. Zhu
Summary: This study explores the topological phases of two-component hardcore bosons and reveals important topological features, such as the degeneracy of the ground state and the presence of chiral edge modes.
CHINESE PHYSICS LETTERS
(2022)
Article
Materials Science, Multidisciplinary
Ajit C. Balram
Summary: The study focuses on the fractional quantum Hall effect at the filling factor nu = 4/11, identifying a plausible ground state described by the 4 (2) over bar1(3) parton wave function. Predictions are made for experimentally measurable properties of this state based on the low-energy effective theory of the 4 (2) over bar1(3) edge.
Article
Materials Science, Multidisciplinary
Koyena Bose, Ajit C. Balram
Summary: This article discusses the possibility of stabilizing non-Abelian topological orders in the fractional quantum Hall effect (FQHE) in the second Landau level (SLL). A parton sequence is proposed to describe the observed fractions in the SLL. By studying the first member of this sequence at 4/11, which has not been experimentally observed yet, we find that it might be a viable non-Abelian state and make predictions for experimentally measurable properties that can distinguish it from other topological orders.
Article
Physics, Multidisciplinary
Songyang Pu, Ajit C. Balram, Mikael Fremling, Andrey Gromov, Zlatko Papic
Summary: In the long-wavelength limit, supersymmetry (SUSY) describes the relationship between the two collective modes of the Moore-Read state in the fractional quantum Hall effect at filling factor v = 5/2. By constructing wave functions and conducting large-scale numerical simulations, we demonstrate the equivalence between SUSY wave functions and previous descriptions of collective modes based on the Girvin-MacDonald-Platzman ansatz, Jack polynomials, and bipartite composite fermions in the long-wavelength limit. Studying the energies of SUSY wave functions, we find that realistic v = 5/2 systems are close to the putative SUSY point, where the two collective modes become degenerate in energy.
PHYSICAL REVIEW LETTERS
(2023)
Article
Physics, Multidisciplinary
Ha Quang Trung, Bo Yang
Summary: By studying low-lying excitations at filling factor nu = n + 1/3 with realistic interactions, it is found that they can be understood as quantum fluids with Gaffnian quasiholes, instead of Laughlin quasiparticles. Near the experimentally observed nematic FQH phase in higher Landau levels, quasiholes become weakly bound and exhibit rich dynamical properties. It is predicted that a finite temperature phase transition of Laughlin quasiholes can occur even when the Laughlin ground state remains incompressible, providing relevant experimental conditions for potential observations.
PHYSICAL REVIEW LETTERS
(2021)
Article
Physics, Multidisciplinary
J. Nakamura, S. Liang, G. C. Gardner, M. J. Manfra
Summary: Electronic Fabry-Perot interferometry is a powerful method for probing quasiparticle charge and anyonic braiding statistics in the fractional quantum Hall regime. In the v = 2/5 fractional quantum Hall state, we observe two interfered independently edge modes. The outer mode behaves similarly to the v = 1/3 state, while the inner mode shows discrete phase jumps indicative of distinct anyonic braiding statistics.
Article
Physics, Multidisciplinary
Misha Yutushui, Ady Stern, David F. Mross
Summary: This paper proposes an experiment to identify the topological order of the nu = 5/2 state through the measurement of electric conductance. The experiment uses a device that interfaces nu = 2, 5/2, and 3, allowing for the establishment or exclusion of the particle-hole symmetric Pfaffian topological order. It also distinguishes between the Moore-Read and anti-Pfaffian topological orders favored by numerical calculations.
PHYSICAL REVIEW LETTERS
(2022)
Article
Physics, Multidisciplinary
J. Nakamura, S. Liang, G. C. Gardner, M. J. Manfra
Summary: We investigate the transmission of edge states through quantum point contacts and observe an intermediate conductance plateau at G = 0.5(e^2/h). This plateau is consistent with full reflection of an inner counterpropagating -1/3 edge mode while the outer integer mode is fully transmitted. Another quantum point contact with a softer confining potential displays an intermediate conductance plateau at G = (1/3)(e^2/h), supporting a model in which the edge transitions from a structure with an inner upstream -1/3 charge mode and outer downstream integer mode to a structure with two downstream 1/3 charge modes.
PHYSICAL REVIEW LETTERS
(2023)
Article
Materials Science, Multidisciplinary
Michael Hein, Christian Spanslaett
Summary: Identifying the topological order of the fractional quantum Hall state at filling v = 5/2 is crucial for realizing non-Abelian Majorana modes. In this study, we investigate transport properties of interfaced edge segments of fractional quantum Hall states hosting non-Abelian Majorana modes. By computing thermal conductances, charge current noise, and delta-T noise, we analyze the impact of thermal equilibration on these observables and determine the temperature scalings of transitions between different quantized thermal conductances. Our results, combined with recent experimental data, suggest a particle-hole-Pfaffian topological order at v = 5/2 in GaAs/AlGaAs.
Article
Quantum Science & Technology
Daniele De Bernardis, Francesco S. Piccioli, Peter Rabl, Iacopo Carusotto
Summary: We study the interactions between light and matter in a two-dimensional photonic lattice system, where photons experience the combined effects of a synthetic magnetic field and an orthogonal synthetic electric field. This configuration leads to the emergence of chiral waveguide modes in the bulk region of the lattice, similar to transverse Hall currents in electronic systems. By analyzing the dynamics of emitters coupled to these modes, we find certain critical coupling conditions under which the shape of spontaneously emitted photons becomes nearly symmetric. Along with directional and dispersionless propagation, this property allows for complete reabsorption of photons by distant emitters without the need for time-dependent control. We demonstrate that this mechanism can be extended to arbitrary in-plane synthetic potentials, enabling the realization of reconfigurable networks of quantum emitters with arbitrary chiral connectivity.
Article
Materials Science, Multidisciplinary
Takuya Ito, Naokazu Shibata
Summary: The study focused on the edge states in fractional quantum Hall systems at filling factor nu = 1/3 using the density matrix renormalization group method. It was found that the density oscillation induced by local boundary conditions and the wave number of the minimum magnetoroton excitation play a key role in characterizing the edge structure. Additionally, changes in the confinement potential shape can lead to a partial reconstruction of this structure, while the stability of bulk states against variations in the number of electrons highlights the incompressibility of the bulk part of the fractional quantum Hall state.
Article
Mechanics
Dong Su, Hui Liu
Summary: In this paper, a Pollard's exact solution for geophysical internal waves in equatorial beta-plane approximation is presented, followed by the application of the short-wavelength perturbations method to demonstrate an instability threshold for eastward propagating geophysical internal waves in the equatorial beta-plane approximation.
Article
Physics, Multidisciplinary
Glenn Wagner, Dung X. Nguyen, Steven H. Simon
PHYSICAL REVIEW LETTERS
(2020)
Article
Physics, Multidisciplinary
Steven H. Simon, Bernd Rosenow
PHYSICAL REVIEW LETTERS
(2020)
Article
Multidisciplinary Sciences
Carsten Putzke, Maja D. Bachmann, Philippa McGuinness, Elina Zhakina, Veronika Sunko, Marcin Konczykowski, Takashi Oka, Roderich Moessner, Ady Stern, Markus Koenig, Seunghyun Khim, Andrew P. Mackenzie, Philip J. W. Moll
Article
Multidisciplinary Sciences
Asaf Rozen, Jeong Min Park, Uri Zondiner, Yuan Cao, Daniel Rodan-Legrain, Takashi Taniguchi, Kenji Watanabe, Yuval Oreg, Ady Stern, Erez Berg, Pablo Jarillo-Herrero, Shahal Ilani
Summary: The study reveals a transition from a low-entropy electronic liquid to a high-entropy correlated state in magic-angle twisted bilayer graphene under the influence of electron density, temperature, and magnetic field. The correlated state demonstrates a unique combination of properties associated with itinerant electrons and localized moments, with distinct energy scales for different characteristics. The hybrid nature of the correlated state and the separation of energy scales have significant implications for the thermodynamic and transport properties of twisted bilayer graphene.
Article
Physics, Multidisciplinary
Yves H. Kwan, Yichen Hu, Steven H. Simon, S. A. Parameswaran
Summary: The study reveals the topological features of neutral particle-hole pair excitations and their impact on the bound states in correlated QAH insulators. This results in the formation of topological exciton bands with robust features. The research also applies these ideas to broken-symmetry spontaneous QAH insulators in magic-angle twisted bilayer graphene with substrate alignment.
PHYSICAL REVIEW LETTERS
(2021)
Review
Nanoscience & Nanotechnology
Karsten Flensberg, Felix von Oppen, Ady Stern
Summary: Topological qubits are a promising method for storing quantum information in a topologically protected manner, but are difficult to realize. Recent research has focused on combining superconductivity, spin-orbit coupling, and a magnetic field to achieve this goal, with the Majorana-based approach being at the forefront of these efforts.
NATURE REVIEWS MATERIALS
(2021)
Article
Physics, Multidisciplinary
Ari M. Turner, Erez Berg, Ady Stern
Summary: In this study, the stability of fragile topological bands protected by space-time inversion symmetry under strong electron-electron interactions is investigated. It is found that when these fragile bands are half filled, interactions can open a gap in the many-body spectrum without breaking any symmetry or mixing degrees of freedom from remote bands. The resulting ground state is not topologically ordered. The formation of fermionic bound states known as trions is crucial for this result, which may be relevant to recent experiments in magic angle twisted bilayer graphene at charge neutrality.
PHYSICAL REVIEW LETTERS
(2022)
Article
Multidisciplinary Sciences
Bivas Dutta, Wenmin Yang, Ron Melcer, Hemanta Kumar Kundu, Moty Heiblum, Vladimir Umansky, Yuval Oreg, Ady Stern, David Mross
Summary: Quantum Hall states have unique quantum phases characterized by gapless edge modes. The most studied nonabelian state is the spin-polarized filling factor 5/2, which can have different topological orders. By interfacing this state with another, we were able to identify its topological order as the particle-hole Pfaffian (PH-Pf) order.
Article
Multidisciplinary Sciences
C. Kumar, J. Birkbeck, J. A. Sulpizio, D. Perello, T. Taniguchi, K. Watanabe, O. Reuven, T. Scaffidi, Ady Stern, A. K. Geim, S. Ilani
Summary: Recent research has shown that hydrodynamic electronic phenomena can transcend the fundamental limitations of ballistic electrons, with important implications for fundamental science and future technologies. High-mobility graphene Corbino disk devices were used to image single-electron-transistor electronic flow, revealing the elimination of bulk Landauer-Sharvin resistance by electron hydrodynamics. This study highlights the potential of electronic fluids to revolutionize electronic conduction.
Article
Multidisciplinary Sciences
A. Inbar, J. Birkbeck, J. Xiao, T. Taniguchi, K. Watanabe, B. Yan, Y. Oreg, Ady Stern, E. Berg, S. Ilani
Summary: The invention of the quantum twisting microscope (QTM) allows for direct observation of key quantum properties of electronic systems. By creating pristine two-dimensional junctions and using a unique van der Waals tip, the QTM enables local interference experiments at its tip, providing a multitude of interfering paths for electrons to tunnel into a sample. Through various experiments, the QTM demonstrates room-temperature quantum coherence, studies the evolution of twist angles in twisted bilayer graphene, images the energy bands of monolayer and twisted bilayer graphene, and visualizes the flattening of the low-energy band of twisted bilayer graphene under local pressure. The QTM opens up new possibilities for studying quantum materials.
Article
Materials Science, Multidisciplinary
Ohad Antebi, Ady Stern, Erez Berg
Summary: Three symmetries prevent a twisted bilayer of graphene from developing an in-plane spontaneous magnetization in the absence of a magnetic field. Experimental and theoretical indications suggest that these symmetries may be broken spontaneously under certain conditions. In such cases, the in-plane orbital magnetization serves as a sensitive probe for detecting the simultaneous breaking of these three symmetries.
Article
Materials Science, Multidisciplinary
Steven H. Simon, Mark S. Rudner
Article
Materials Science, Multidisciplinary
Glenn Wagner, Dung X. Nguyen, Steven H. Simon
Article
Materials Science, Multidisciplinary
Dung X. Nguyen, Glenn Wagner, Steven H. Simon
Article
Materials Science, Multidisciplinary
Steven H. Simon, Matteo Ippoliti, Michael P. Zaletel, Edward H. Rezayi