Recently, moiré super-lattice (MSL) of vdW structures have brought a new dimension to 2D electronics. Due to the crystalline nature of these materials, it is possible to create MSLs by making bilayers with lattice mismatch or with twist angle between them. The modified interlayer coupling in different domains in such MSLs results in electron localization. This is manifested in the band-structure as flat-bands that facilitate electron correlations. Owing to this, interesting effects such as superconductivity, correlated insulating phase etc. have been observed in such systems. The formation of flat-bands, correlated electrons states and unconventional superconductivity has been predicted in twisted bilayer TMDCs and has been observed in twisted bilayer WSe2 encapsulated in hBN. The presence of SOC in TMDCs is expected to trigger the emergence of a variety of quantum and topological effects. Ising superconductivity with a high in-plane critical field is expected in such systems, whereas the critical field in the case of graphene is very close to the Pauli limit. We fabricate such devices using our van der Waals aligner system setup in-house. Recently, our measurements on twisted MoS2 devices revealed mini-bands and also signatures of spin-valley degeneracy breaking at low temperatures, pioneering the studies of moiré superlattices in MoS2. The results are published [Physical Review B 109, 195106 (2024)]. The work was performed with the aid of the PIER seed grant.
Two master's thesess and one bachelor's thesis supervised on this topic:
MA Physics, UHH: 'Exploring Twisted MoS2: A study on device fabrication and electronic and atomic structure characterization', Kilian Kroetzsch (2023), - supervisor and examiner
BA Physics, UHH: 'Twisted bilayer MoS2 devices by mechanical exfoliation and tear-stack techniques for transport measurements', Paulina Loreth (2023), - co-supervisor
MA Physics, UHH: 'Fabrication and transport measurements on nanostructures hBN encapsulated MoS2 based heterostructures', Jan-Hendrik Schmidt (2021), – co-supervisor
Electrostatically tunable QPCs, a first step towards the realization of electrostatically controlled devices. QPCs are one-dimensional ballistic channels connected to large source and drain regions. The most common and controllable way of fabricating a QPC is by electron confinement using gate voltages to result in quantization. This will result in having a discrete number of channels each contributing 2e^2/h (spin degenerate) for conduction, as a result, the conductance is quantized in the units of the same. The quantized conductance plateaus can be controlled by the changing the width of the channel using gate-voltages.
Only a handful of works have been performed on QPCs on TMDCs. Difficulty in getting Ohmic contacts to the system is a major reason. It is possible to overcome this issue by techniques like contacting with graphene, using low work-function metals or using heavily doped TMDCs. Presence of high SOC and spin valley effect in TMDC brings further interesting physics and applications for QPCs on them. It would be beneficial for creating spin channels and gain degenerate conductance was recently demonstrated in WSe2.
Further constriction to zero dimension would lead to formation of quantum dots where electrons are confined to a few to ~100 nm in space. These allows controlling and manipulating individual electrons. Some TMDCs are also potential hosts for QDs where electron confinement is easier due to the semiconducting nature. It has been proposed that the electron spin or valley degree of freedom alone or spin-valley coupled states can form robust basis states for quantum information processing. MoS2 is the most prominent material in the TMDC class in which we already acquired processing and measurement experience. The Kramer’s pair given by the opposite spins in the K and K’ valleys, |K,up> and |K’,down> could be used the basis states. The outstanding features of such a qubit in a TMDC-material are the large band gap, large SOC, the tunability of the spin and valley degrees of freedoms, and its intrinsic optical activity and very small hyperfine interaction. In contrast to the conventional spin-qubits, the spin-orbit interaction offers electronic control of these qubits. The optical activity of the valley states also offers a convenient strategy to couple the qubit states to optical cavities for long-distance information transfer and entanglement. We also note that the valley Hall effect and topologically coupled valley currents have been demonstrated in MoS2.
Our work on electrostatic confinement of electrons in MoS2/hBN system was one the first works in this direction. We also work on fabrication and measurements on 2DEG based QPCs.
One bachelor's thesis supervised on this topic:
BA Nanoscience, UHH: 'Fabrication and quantum transport measurements in nanostructures on MoS2/hBN heterostructures', Jan Stelzner (2022),- co-supervisor
Application of radiofrequency (RF) and microwave photons in quantum transport is useful to study light-matter interaction and ultra-fast dynamics and control of electron/spin states. The energy range in most quantum phenomena correspond to microwave frequencies of range 1-100 GHz (~4-400 μeV) and at a time scale of pico seconds to milli seconds. Moreover, measurement of noise and higher order noise correlations can give information about the nature of transport which are not present in the conventional transport studies. Electron spin resonance (ESR) could be electrically detected in transport. This is a useful technique to measure quantities such as g-factor in a system, to study interaction such as SOC as well as to control spin qubits. From our electronically -detected ESR measurments, we showed that the g-factor of graphene could be modified in proximity to MoS2 signaling enhanced SOC [AIP Advances 12, 035111 (2022)]. We also showed ESR on unencapsulated MoS2 devices with Ohmic contacts with Sn showing high mobility [Journal of Physics: Condensed Matter 37, 185502 (2025)]. ESR in quantum dots allows spin control in the system for spin qubit applications.
An effective method for coupling the devices to microwaves is using a co-planar waveguide (CPW) resonator. This approach would be implemented to get better coupling with even low power microwaves. CPWs is also a very important RF device for a very sensitive and fast-read out of signals from QDs and QPCs with a very high signal to noise ratio. In our work, CPWs coupled to QPCs were used for shot-noise limited detection. Such an approach is also sought after for fast qubit control and read-outs.
Two Master's thesis supervised on this topic:
MA Physics, UHH: ''Engineering devices on transition metal dichalcogenides for quantum transport', Appanna Parvangada Pemmaiah (2024), - supervisor and examiner
MA Physics, UHH: 'HEMT (GaAs/AlGaAs) high frequency amplifier', Ali Hussein Murad (2024) – supervisor and examiner
Unlike its 3D counterpart, superconductivity shows some interesting effects in 2D. While there are theories like Mermin-Wagner theorem predicting that long-range order is not possible in dimensions less than or equal to two while superconductivity can still be observed in 2D. They are stabilized by the vortex dynamics in the material syatem that brings out many interesting physics.
The Berezinskii-Kosterlitz-Thouless (BKT) phase transition and Bose metal phase, driven by vortices and their dynamics are the hallmark features of a clean two-dimensional superconductor. Materials with a minimal structural disorder and high conductivity are essential for the observation of these features. Among the van der Waals materials, transition metal dichalcogenides, such as NbSe2, MoS2 etc. are interesting candidates. Apart from the high degree of electrical tunability, what makes MoS2 fascinating is the presence of 2D polymorphs displaying a wide spectrum of electrical properties; 2H and 3R are large bandgap semiconductors, 1T’ and 1T” are narrow bandgap semiconductors and 1T is metallic. 2D superconductivity is limited to systems having sheet-resistance less than the quantum resistance; the metallic nature and high carrier concentration make 1T-MoS2 a natural choice.
Previously, we reported the observation of 2D superconductivity, BKT phase transition and the emergence of Bose metallic state in an ~8 nm thick (~12 layers) 1T-MoS2 sample. The electrical characterization reveals a transition temperature Tc ~920 mK. BKT transition and anisotropy in the magneto-transport confirm the dimensionality of the superconductivity. Magneto-transport measurements reveal a parallel critical field manifold of the Pauli limit, possibly due to the presence of high spin orbit coupling in our system, making it a potential candidate for the realization of superconducting circuit elements operational at high magnetic fields. The sample also exhibits a transition to Bose metallic state, a signature of a clean 2D superconducting system. The observation of 2D superconductivity in 1T-MoS2 and the capability to scalably engineer this phase on the semiconducting 2H-MoS2 phase opens up a new route for the realization and study of monolithic hybrid quantum circuits [Communications Physics 1, 90 (2018)].