# Berlin 2018 – wissenschaftliches Programm

## Bereiche | Tage | Auswahl | Suche | Aktualisierungen | Downloads | Hilfe

# SYTO: Symposium Topology in Condensed Matter Physics

## SYTO 1: Topology in Condensed Matter Physics

### SYTO 1.4: Hauptvortrag

### Mittwoch, 14. März 2018, 11:15–11:45, H 0105

**Quantization of Heat Flow in Fractional Quantum Hall States** — •Moty Heiblum — Weizmann institute

Quantum mechanics sets an upper bound on the amount of charge flow as well as on the amount of heat flow in ballistic one-dimensional channels. The two relevant upper bounds, that combine only fundamental constants, are the quantum of the electrical conductance, *G*_{e} = *e*^{2}/*h*, and the quantum of the thermal conductance, *G*_{th} = π^{2} *k*_{B}^{2} *T*/3*h*. Remarkably, the latter does not depend on particles charge; particles exchange statistics; and even the interaction strength among the particles.
However, unlike the relative ease in determining accurately the quantization of the electrical conductance, measuring accurately the thermal conductance is more challenging. The universality of the latter quantization was demonstrated for weakly interacting particles; such as, phonons [1], photons [2], and electronic Fermi-liquids [3].
I will describe our recent experiments of heat flow in a strongly interacting system of 2D electrons in the FQHE regime. I will focus on particle-like states (Laughlin’s states, v < 1/2), and on the more complex, hole-conjugate states (1/2 < v < 1) [4]. More recently, we extended our studies to fractional states in the first-excited Landau level (2<v<3). In particular, in the v=5/2 state we find a deviation from the quantization of the thermal conductance, suggesting a non-abelian behavior [5].

K. Schwab, et al., Nature 404, 974 (2000)

M. Meschke, et al., Nature 444, 187 (2006)

S. Jezouin, et al., Science 342, 601 (2013)

M. Banerjee et. al., Nature 545, 75 (2017)

M. Banerjee et. al., arXiv: 1710.00492