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One-Dimensional Luttinger Liquids in a Two-Dimensional Moiré Lattice
Pengjie Wang, Guo Yu, Yves H. Kwan +13
The Luttinger liquid (LL) model of one-dimensional (1D) electronic systems provides a powerful tool for understanding strongly correlated physics including phenomena such as spin-c…
Quantum oscillations in the zeroth Landau Level and the serpentine Landau fan
T. Devakul, Yves H. Kwan, S. L. Sondhi +1
We identify an unusual mechanism for quantum oscillations in nodal semimetals, driven by a single pair of Landau levels periodically closing their gap at the Fermi energy as a magn…
Interacting multi-channel topological boundary modes in a quantum Hall valley system
Mallika T. Randeria, Kartiek Agarwal, Benjamin E. Feldman +6
Symmetry and topology play key roles in the identification of phases of matter and their properties. Both concepts are central to understanding quantum Hall ferromagnets (QHFMs), t…
Microscopic Theory of a Quantum Hall Ising Nematic: Domain Walls and Disorder
Akshay Kumar, S. A. Parameswaran, S. L. Sondhi
We study the the interplay between spontaneously broken valley symmetry and spatial disorder in multivalley semiconductors in the quantum Hall regime. In cases where valleys have a…
A Typology for Quantum Hall Liquids
S. A. Parameswaran, S. A. Kivelson, E. H. Rezayi +3
There is a close analogy between the response of a quantum Hall liquid (QHL) to a small change in the electron density and the response of a superconductor to an externally applied…
Nematic Valley Ordering in Quantum Hall Systems
D. A. Abanin, S. A. Parameswaran, S. A. Kivelson +1
The interplay between quantum Hall ordering and spontaneously broken "internal" symmetries in two-dimensional electron systems with spin or pseudospin degrees of freedom gives rise…
Charge 2e skyrmions in bilayer graphene
D. A. Abanin, S. A. Parameswaran, S. L. Sondhi
Quantum Hall states that result from interaction induced lifting of the eight-fold degeneracy of the zeroth Landau level in bilayer graphene are considered. We show that at even fi…
The fractional quantum Hall effect in infinite layer systems
J. D. Naud, Leonid P. Pryadko, S. L. Sondhi
Stacked two dimensional electron systems in transverse magnetic fields exhibit three dimensional fractional quantum Hall phases. We analyze the simplest such phases and find novel…
Notes on Infinite Layer Quantum Hall Systems
J. D. Naud, Leonid P. Pryadko, S. L. Sondhi
We study the fractional quantum Hall effect in three dimensional systems consisting of infinitely many stacked two dimensional electron gases placed in transverse magnetic fields.…
Edge Dynamics in Quantum Hall Bilayers II: Exact Results with Disorder and Parallel Fields
J. D. Naud, Leonid P. Pryadko, S. L. Sondhi
We study edge dynamics in the presence of interlayer tunneling, parallel magnetic field, and various types of disorder for two infinite sequences of quantum Hall states in symmetri…
Dynamics of the Compact, Ferromagnetic ν=1 Edge
A. Karlhede, K. Lejnell, S. L. Sondhi
We consider the edge dynamics of a compact, fully spin polarized state at filling factor . We show that there are two sets of collective excitations localized near the edge: t…
The transverse magnetoresistance of the two-dimensional chiral metal
J. T. Chalker, S. L. Sondhi
We consider the two-dimensional chiral metal, which exists at the surface of a layered, three-dimensional sample exhibiting the integer quantum Hall effect. We calculate its magnet…
Effective Action Studies of Quantum Hall Spin Textures
K. Lejnell, A. Karlhede, S. L. Sondhi
We report on analytic and numerical studies of spin textures in quantum Hall systems using a long-wavelength effective action for the magnetic degrees of freedom derived previously…
Coulomb and Hard Core Skyrmion Tails
E. H. Rezayi, S. L. Sondhi
Quantum Hall skyrmions are quantized solitons of a ferromagnetic O(3) sigma-model. The reference, classical, solutions depend upon the interaction between the electrons and exhibit…
A New Transport Regime in the Quantum Hall Effect
D. Shahar, M. Hilke, C. C. Li +3
This paper describes an experimental identification and characterization of a new low temperature transport regime near the quantum Hall-to-insulator transition. In this regime, a…
Quantum Hall Skyrmions with Higher Topological Charge
D. Lilliehook, K. Lejnell, A. Karlhede +1
We have investigated quantum Hall skyrmions at filling factor ν=1 carrying more than one unit of topological, and hence electric, charge. Using a combination of analytic and numeri…
Hartree-Fock Theory of Skyrmions in Quantum Hall Ferromagnets
H. A. Fertig, L. Brey, R. Cote +3
We report on a study of the charged-skyrmion or spin-texture excitations which occur in quantum Hall ferromagnets near odd Landau level filling factors. Particle-hole symmetry is u…
A different view of the quantum Hall plateau-to-plateau transitions
D. Shahar, D. C. Tsui, M. Shayegan +2
We demonstrate experimentally that the transitions between adjacent integer quantum Hall (QH) states are equivalent to a QH-to-insulator transition occurring in the top Landau leve…
Duality Near Quantum Hall Transitions
E. Shimshoni, S. L. Sondhi, D. Shahar
A recent experiment by Shahar et al, on the phase transitions between quantum Hall states and the insulator, found that the current-voltage characteristics in the two phases are re…