Method to map one-dimensional electronic wave function by using multiple Brillouin zone angle resolved photoemission

Abstract

Angle resolved photoemission spectroscopy (ARPES) is a powerful tool to investigate electronic structures of solids and has been widely used in studying various materials. Electronic structure information by ARPES is obtained in the momentum space. However, in the case of one-dimensional systems, we show that real space information can be extracted from ARPES data taken over multiple Brillouin zones (BZs). Intensities in multiple BZs are proportional to the photoemission matrix element which contains information on the coefficient of Bloch wave functions. It is shown that the Bloch wave function coefficients can be indeed extracted from ARPES data, which allows us to construct the real space wave function. As a test, we use ARPES data from proto-typical onedimensional system SrCuO2 and construct the real space wave function.