Dynamical properties of quantum hall systems

尚広 青山

A. I. Solomon, Joseph L. Birman

Qi Li, Ken K. W., Ruojun Wang +3 more

A quantum Hall (QH) interface is different from an ordinary QH edge, as the latter has its location determined by the confining potential, while the former can be unpinned and behave like a free string. In this paper, we demonstrate this difference by studying three different interfaces formed by (i) the Laughlin state and the vacuum, (ii) the Pfaffian state and the vacuum, and (iii) the Pfaffian and the anti-Pfaffian states. We find that stringlike interfaces propagating freely in the QH system lead to very different dynamical properties from edges. This qualitative difference gives rise to fascinating physics and suggests a different direction for future research on QH physics. We also discuss briefly possible analogies between QH interfaces and concepts in string theory.

Catalin-Mihai Halati, Thierry Giamarchi

We investigate the Hall response of hardcore bosonic atoms on a triangular ladder in a magnetic field. To access the dynamical properties of this many-body quantum system, we employ matrix product states numerical methods. We show that the behavior of the Hall polarization, both in its saturation value and in the short-time dynamics, correlates with the features of the underlying phase diagram, which stem from the interplay of interactions and geometric frustration. This paves the way to employ the Hall response as a sensitive probe of many-body chiral quantum phases in strongly correlated materials.

S. B. Mulay, John J. Quinn, Mark Shattuck

S. A. Mikhaǐlov