## 65 Citations

Quantum Hall effect in supersymmetric Chern-Simons theories

- Physics
- 2015

This is the author accepted manuscript. The final version is available from APS via http://dx.doi.org/10.1103/PhysRevB.92.235125

Topological states of matter in low dimensions

- Physics
- 2018

A central theme in condensed matter physics is the classification and characterization of states of matter. In the recent decades, it has become evident that there exists a large class of quantum m…

Higher order addition laws on Abelian varieties and the fractional quantum Hall effect

- Physics, Mathematics
- 2002

Abstract Addition formulas for theta functions of arbitrary order are shown and applied to the theoretical understanding of the fractional quantum Hall effect in a multi-layer two-dimensional…

Topological orders and edge excitations in fractional quantum hall states

- Physics
- 1995

Fractional quantum Hall (FQH) liquids contain extremely rich internal structures which represent a completely new kind of ordering. We discuss the characterization and classification of the new…

TASI 2015 Lectures on Quantum Matter (with a View Toward Holographic Duality)

- Physics
- 2017

These are notes from my lectures at TASI 2015. The goal is to provide context for the study of strongly-correlated quantum many-body systems using quantum field theory, and possibly string theory.

D ec 2 00 2 HIGHER ORDER ADDITION LAWS ON ABELIAN VARIETIES AND THE FRACTIONAL QUANTUM HALL EFFECT

- 2002

Addition formulas for theta functions of arbitrary order are shown and applied to the theoretical understanding of the fractional quantum Hall effect in a multi-layer two-dimensional many-electron…

BPS Approaches to Anyons, Quantum Hall States and Quantum Gravity

- Physics
- 2017

The author was supported by an STFC studentship and the European Research Council under the European Union’s Seventh Framework Programme (FP7/2007-2013), ERC grant agreement agreement STG 279943,…

SOLITONS AND QUASIELECTRONS IN THE QUANTUM HALL MATRIX MODEL.

- Physics
- 2005

We show how to incorporate fractionally charged quasielectrons
in the finite quantum Hall matrix model.The quasielectrons
emerge as combinations of BPS solitons and quasiholes in a
finite matrix…

A quantum Hall fluid of vortices

- Physics
- 2004

In this note we demonstrate that vortices in a non-relativistic Chern-Simons theory form a quantum Hall fluid. We show that the vortex dynamics is controlled by the matrix mechanics previously…

## References

SHOWING 1-8 OF 8 REFERENCES

Field theories of condensed matter systems

- Physics
- 1991

ForewordIntroductionThe Hubbard ModelThe Magnetic Instability of the Fermi SystemOne-Dimensional Quantum AntiferromagnetsSigma Models, Topological Terms and Spin LiquidsThe Spin Liquid StatesChiral…

Collapse of integer Hall gaps in a double-quantum-well system.

- Physics, MedicinePhysical review letters
- 1990

It is shown that interaction effects in strong magnetic fields can destroy this gap, and a theory is presented which predicts the occurrence or nonoccurrence of a quantum Hall effect.

Effective-field-theory model for the fractional quantum Hall effect.

- Physics, MedicinePhysical review letters
- 1989

A field-theory model for the fractional quantum Hall effect and an approximate coarse-grained version of the same model are derived, and a Landau-Ginzburg theory similar to that of Girvin is constructed.

Many-body integer quantum Hall effect: Evidence for new phase transitions.

- Medicine, PhysicsPhysical review letters
- 1994

The ν=1 quantum Hall effect in bilayer 2D electron systems is shown to continuously evolve from a regime dominated by single-particle tunneling into one where interlayer Coulomb interactions…

High temperature superconductivity: Proceedings

- Materials Science
- 1990

This book is the result of a symposium at Los Alamos in 1989 on High Temperature Superconductivity. The topics covered include: phenomenology, quantum spin liquids, spin space fluctuations in the…

High temperature superconductivity

- Materials Science
- 1995

This book contains papers presented at the international seminar on High Temperature Superconductivity. Included are the following papers: Oxygen disorder, superstructure and the dependence of T{sub…

Field theory in a strong magnetic field and the quantum Hall effect: Integer Hall effect.

- Physics
- 1990

A field theory of two-dimensional continuum electrons in a strong magnetic field is formulated based on a magnetic lattice representation that preserves translational invariance. The gauge…