J. Ulrich | Searcharxiv

arXiv2016

Probing the nodal structure of Landau level wave functions in real space

The inversion layer of p-InSb(110) obtained by Cs adsorption of 1.8 % of a monolayer is used to probe the Landau level wave functions within smooth potential valleys by scanning tunnelling spectroscopy at 14 T. The nodal structure becomes apparent as a double peak structure of each spin polarized first Landau level, while the zeroth Landau level exhibits a single peak per spin level only. The real space data show single rings of the valley-confined drift states for the zeroth Landau level and double rings for the first Landau level. The result is reproduced by a recursive Green's function algorithm using the potential landscape obtained experimentally. We show that the result is generic by comparing the local density of states from the Green's function algorithm with results from a well controlled analytic model based on the guiding center approach.

cond-mat.mes-hall↗

arXiv2014

Thermal conductance as a probe of the non-local order parameter for a topological superconductor with gauge fluctuations

We investigate the effect of quantum phase slips on a helical quantum wire coupled to a superconductor by proximity. The effective low-energy description of the wire is that of a Majorana chain minimally coupled to a dynamical $\mathbb{Z}_2$ gauge field. Hence the wire emulates a matter-coupled gauge theory, with fermion parity playing the role of the gauged global symmetry. Quantum phase slips lift the ground state degeneracy associated with unpaired Majorana edge modes at the ends of the chain, a change that can be understood as a transition between the confined and the Higgs-mechanism regimes of the gauge theory. We identify the quantization of thermal conductance at the transition as a robust experimental feature separating the two regimes. We explain this result by establishing a relation between thermal conductance and the Fredenhagen-Marcu string order-parameter for confinement in gauge theories. Our work indicates that thermal transport could serve as a measure of non-local order parameters for emergent or simulated topological quantum order.

cond-mat.mes-hall↗