Imaging Anyons with Scanning Tunneling Microscopy

We combine analytical calculations with numerical simulations to demonstrate that an STM could visualize the structure of interacting electronic states of FQH states. Spectroscopy mapping with the STM near individual impurity defects can be used to image fractional statistics in FQH states, identifying unique signatures in such measurements that can distinguish different proposed ground states. The presence of locally trapped anyons should leave distinct signatures in STM spectroscopic maps, and enables a new approach to directly detect and manipulate these exotic quasiparticles.

Z. Papić, R. S. K. Mong, A. Yazdani, and M. P. Zaletal, “Imaging anyons with scanning tunneling microscopy,” Physical Review X 8, 011037 (2018)

Experimental setup for imaging anyons.

Experimental setup. A metallic gate (bottom) is separated by an insulating barrier of thickness dg from a 2DEG (top). An impurity of charge Z is located inside the barrier at distance di from the 2DEG. Tuning the gate voltage Vg to enter into a quantum Hall state, STM spectroscopy is used to measure the local density of states (LDOS), shown as a density plot. The LDOS will reveal a discrete set of ringlike resonances centered on the impurity, whose radius depends on the energy. By counting the number of resonances of a given radius, it is argued that the location and fractional exclusion statistics of the anyons can be determined.