We present a bimetric low-energy effective theory of fractional quantum Hall (FQH) states
that describes the topological properties and a gapped collective excitation, known as the …

This book grew up from lectures delivered within the Elite Master Program “Theoretical and
Mathematical Physics” from the Ludwig-Maximilians-Universität during the winter semesters …

We show that universal transport coefficients of the fractional quantum Hall effect (FQHE)
can be understood as a response to variations of spatial geometry. Some transport …

We consider quantum Hall states on a space with boundary, focusing on the aspects of the
edge physics which are completely determined by the symmetries of the problem. There are …

Topology has recently become a focus in condensed matter physics, arising in the context of
the quantum Hall effect and topological insulators. In both of these cases, the topology of the …

We study two-dimensional (2D) droplets of noninteracting electrons in a strong magnetic
field, placed in a confining potential with arbitrary shape. Using semiclassical methods …

Geometric fluctuations of the density mode in a fractional quantum Hall (FQH) state can give
rise to a nematic FQH phase, a topological state with a spontaneously broken rotational …

We argue that in addition to the Hall conductance and the nondissipative component of the
viscous tensor, there exists a third independent transport coefficient, which is precisely …

We construct a low energy effective theory of anisotropic fractional quantum Hall (FQH)
states. We develop a formalism similar to that used in the bimetric approach to massive …

We introduce different types of quenches to probe the nonequilibrium dynamics and multiple
collective modes of bilayer fractional quantum Hall states. We show that applying an electric …