Novel categories of electronic devices and quantum materials are obtained by pipelining the unitary evolution of electron quantum states as described by Schroedingers equation with non-unitary processes that interrupt the coherent propagation of elec
trons. These devices and materials reside in the fascinating transition regime between quantum mechanics and classical physics. The devices are designed such that a nonreciprocal unitary state evolution is achieved by means of a broken inversion symmetry, for example as induced at material interfaces. This coherent state evolution is interrupted by individual inelastic scattering events caused by defects coupled to an environment. Two-terminal non-unitary quantum devices, for example, feature nonreciprocal conductance in linear response. Thus, they are exemptions to Onsagers reciprocal relation, and they challenge the second law of thermodynamics. Implementing the device function into the unit cells of materials or meta-materials yields novel functionalities in 2D and 3D materials, at interfaces, and in heterostructures.
The two-dimensional layered compound PdCoO$_2$ is one of the best oxide conductors, providing an intriguing research arena opened by the long mean free path and the very high mobility of ~51000 cm2/Vs. These properties turn PdCoO$_2$ into a candidate
material for nanoscale quantum devices. By exploring universal conductance fluctuations originating at nanoscale PdCoO$_2$ Hall-bar devices, we determined the phase coherence length of electron transport in c-axis oriented PdCoO$_2$ thin films to equal ~100 nm. The weak temperature dependence of the measured phase coherence length suggests that defect scattering at twin boundaries in the PdCoO$_2$ thin film governs phase breaking. These results suggest that phase coherent devices can be achieved by realizing the devices smaller than the size of twin domains, via refined microfabrication and suppression of twin boundaries.
The decoherence of quantum states defines the transition between the quantum world and classical physics. Decoherence or, correspondingly, quantum mechanical collapse events pose fundamental questions regarding the interpretation of quantum physics.
They are also technologically relevant because they limit the coherent information processing performed by quantum computers. We have discovered that this transition regime enables a novel type of matter transport. Applying this discovery, we present nanoscale devices in which random quantum collapse events produce fundamentally novel phenomena by interrupting the unitary dynamics of electron wave packets. For most of the time, however, the wave packets proceed in coherent superpositions. Geometrically asymmetric conductors with mesoscopic length scales act as rectifiers with unique properties. They function in linear response, so Onsagers reciprocity relations do not apply to transport of this kind. The interface between the quantum and the classical worlds therefore provides a novel transport regime of value for the realization of a new category of mesoscopic electronic devices. These devices provide functions that have been considered impossible until now.
We present the concept of nonreciprocal interferometers. These two-way devices let particles pass in both directions, but in one direction break the phase of the particles wave functions. Such filters can be realized by using, for example, asymmetric
quantum rings. Furthermore, we propose arrangements of these interferometers to obtain larger interferometers which are expected to exhibit a puzzling behavior that resembles Maxwell demon action. We indicate an opportunity to resolve this puzzle experimentally.
