Recent Progress of Point Contact Spectroscopy as a Probe of Correlated Electron States

TL;DR

Recent advances in point contact spectroscopy (PCS) have enhanced its ability to probe correlated electron states, revealing new features related to single electron dynamics in non-superconducting phases of complex materials.

Contribution

This review introduces a theoretical framework linking PCS conductance to the effective density of states, expanding its application to strongly correlated electron systems.

Findings

PCS can detect bosonic excitations with conductance signatures less than 1%

Point contact conductance correlates with the effective density of states in correlated materials

Experimental analysis of iron-based superconductors and heavy fermion compounds supports the theoretical model

Abstract

We review recent progress in point contact spectroscopy (PCS) to extract spectroscopic information out of correlated electron materials, with the emphasis on non-superconducting states. PCS has been used to detect bosonic excitations in normal metals, where signatures (e.g. phonons) are usually less than 1$\%$ of the measured conductance. In the superconducting state, point contact Andreev reflection (PCAR) has been widely used to study properties of the superconducting gap in various superconductors. In the last decade, there have been more and more experimental results suggesting that the point contact conductance could reveal new features associated with the unusual single electron dynamics in non-superconducting states, shedding a new light on exploring the nature of the competing phases in correlated materials. We will summarize the theories for point contact spectroscopy developed from different approaches and highlight these conceptual differences distinguishing point contact spectroscopy from tunneling-based probes. Moreover, we will show how the Schwinger-Kadanoff-Baym-Keldysh (SKBK) formalism together with the appropriate modeling of the nano-scale point contacts randomly distributed across the junction leads to the conclusion that the point contact conductance is proportional to the {\it effective density of states}, a physical quantity that can be computed if the electron self energy is known. The experimental data on iron based superconductors and heavy fermion compounds will be analyzed in this framework. These recent developments have extended the applicability of point contact spectroscopy to correlated materials, which will help us achieve a deeper understanding of the single electron dynamics in strongly correlated systems.