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Continuous Quantum Phase Transitions
S. L. Sondhi, S. M. Girvin, J. P. Carini +1
A quantum system can undergo a continuous phase transition at the absolute zero of temperature as some parameter entering its Hamiltonian is varied. These transitions are particula…
Two point-contact interferometer for quantum Hall systems
C. de C. Chamon, D. E. Freed, S. A. Kivelson +2
We propose a device, consisting of a Hall bar with two weak barriers, that can be used to study quantum interference effects in a strongly correlated system. We show how the device…
The Nature of the Hall Insulator
D. Shahar, D. C. Tsui, M. Shayegan +3
We have conducted an experimental study of the linear transport properties of the magnetic-field induced insulating phase which terminates the quantum Hall (QH) series in two dimen…
Many skyrmion wave functions and skyrmion statistics in quantum Hall ferromagnets
Kun Yang, S. L. Sondhi
We determine the charge and statistical angle of skyrmions in quantum Hall ferromagnets by performing Berry phase calculations based on the microscopic variational wave functions f…
Textured Edges in Quantum Hall Systems
A. Karlhede, S. A. Kivelson, K. Lejnell +1
We have investigated the formation of spin textures at the edges of quantum Hall systems for several ferromagnetic filling factors. The textures are driven by the same physics that…
A Field Theory for the Read Operator
R. Rajaraman, S. L. Sondhi
We introduce a new field theory for studying quantum Hall systems. The quantum field is a modified version of the bosonic operator introduced by Read. In contrast to Read's origina…
Evidence for charge-flux duality near the quantum Hall liquid to insulator transition
D. Shahar, D. C. Tsui, M. Shayegan +2
We examine the longitudinal, non-linear, current-voltage characteristics near the quantum Hall liquid to insulator transition and show that a simple mapping exists between the char…
Skyrmions in Higher Landau Levels
X. -G. Wu, S. L. Sondhi
We calculate the energies of quasiparticles with large numbers of reversed spins (``skyrmions'') for odd integer filling factors 2k+1, k is greater than or equals 1. We find, in co…
Fractional Spin for Quantum Hall Effect Quasiparticles
T. Einarsson, S. L. Sondhi, S. M. Girvin +1
We investigate the issue of whether quasiparticles in the fractional quantum Hall effect possess a fractional intrinsic spin. The presence of such a spin is suggested by the sp…
Off-diagonal Interactions, Hund's Rules and Pair-binding in Hubbard Molecules
S. L. Sondhi, M. P. Gelfand, H. Q. Lin +1
We have studied the effect of including nearest-neighbor, electron-electron interactions, in particular the off-diagonal (non density-density) terms, on the spectra of truncated te…
Landau Level Mixing and Solenoidal Terms in Lowest Landau Level Currents
R. Rajaraman, S. L. Sondhi
We calculate the lowest Landau level (LLL) current by working in the full Hilbert space of a two dimensional electron system in a magnetic field and keeping all the non-vanishing t…
Off-Diagonal Long Range Order and Scaling in a Disordered Quantum Hall System
S. L. Sondhi, M. P. Gelfand
We have numerically studied the bosonic off-diagonal long range order, introduced by Read to describe the ordering in ideal quantum Hall states, for noninteracting electrons in ran…
The Quantum Hall Effect in Drag: Inter-layer Friction in Strong Magnetic Fields
Efrat Shimshoni, S. L. Sondhi
We study the Coulomb drag between two spatially separated electron systems in a strong magnetic field, one of which exhibits the quantum Hall effect. At a fixed temperature, the dr…