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Graphene-based single-electron and hybrid devices, their lithography, and their transport properties
(2016)
This work explores three different aspects of graphene, a single-layer of carbon atoms arranged in a hexagonal lattice, with regards to its usage in future electronic devices; for instance in the context of quantum information processing. For a long time graphene was believed to be thermodynamically unstable. The discovery of this strictly two-dimensional material completed the family of carbon based structures, which had already been subject of intensive research with focus on zero-dimensional fullerenes and one-dimensional carbon nanotubes. Within only a few years of its discovery, the field of graphene related research has grown into one of today’s most diverse and prolific areas in condensed matter physics, highlighted by the award of the 2010 Nobel Prize in Physics to A.K. Geim and K. Noveselov for “their groundbreaking experiments regarding the two-dimensional material graphene”.
From the point of view of an experimental physicist interested in the electronic properties of a material system, the most intriguing characteristic of graphene is found in the Dirac-like nature of its charge carriers, a peculiar fact that distinguishes graphene from all other known standard semiconductors. The dynamics of charge carriers close to zero energy are described by a linear energy dispersion relation, as opposed to a parabolic one, which can be understood as a result of the underlying lattice symmetry causing them to behave like massless relativistic particles. This fundamentally different behavior can be expected to lead to the observation of completely new phenomena or the occurrence of deviations in well-known effects.
Following a brief introduction of the material system in chapter 2, we present our work studying the effect of induced superconductivity in mesoscopic graphene Josephson junctions by proximity to superconducting contacts in chapter 3. We explore the use of Nb as the superconducting material driven by the lack of high critical temperature and high critical magnetic field superconductor technology in graphene devices at that time. Characterization of sputter-deposited Nb films yield a critical transition temperature of \(T_{C}\sim 8{\rm \,mK}\). A prerequisite for successful device operation is a high interface quality between graphene and the superconductor. In this context we identify the use of an Ti as interfacial layer and incorporate its use by default in our lithography process. Overall we are able to increase the interface transparency to values as high as \(85\%\). With the prospect of interesting effects in the ballistic regime we try to enhance the electronic quality of our Josephson junction devices by substrate engineering, yet with limited success. We achieve moderate charge carrier mobilities of up to \(7000{\rm \,cm^2/Vs}\) on a graphene/Boron-nitride heterostructure (fabrication details are covered in chapter 5) putting the junction in the diffusive regime (\(L_{device}<L_{\rm{mfp}}\)). We speculate that either inhomogeneities in the graphene channel or lithography residues are responsible for this observation.
Furthermore we study the Josephson effect and Andreev reflection related physics in this device by low-temperature transport measurements. The junction carries a bipolar supercurrent which remains finite at the charge neutrality point. The genuine Josephson character is confirmed by the modulation of the supercurrent as a function of an out-of-plane magnetic field resembling that of a Fraunhofer-like pattern. This is further supported by the response of the junction to microwave radiation in the form of Shaprio steps. Surprisingly we find a strongly reduced superconducting energy gap of approximately \(\Delta = 400{\rm \,\mu eV}\) by quantitatively analyzing data of multiple Andreev reflections. We show this result to be consistent by careful analysis of the device parameters and comparison of these to a theoretical model. More experiments will be needed to determine the origin of this reduction and if the presence of the Ti interfacial layer plays an important role in that.
With regards to possible usability of superconducting contacts in more complex hybrid structures we can conclude that our work establishes the necessary preconditions while still leaving room for improvements; especially in terms of device quality.
In the second part of this work we are primarily interested in electrical transport properties of graphene nanodevices and their application in graphene-superconductor hybrid structures. The fact that graphene is mechanically stable down to a few tens of nanometers in width while exhibiting a finite conductance makes it an appealing choice as host for single-electron devices, also known as quantum dots. Our work on this topic is covered in chapter 4 where we first develop a high-resolution lithography process for the fabrication of single electron devices with critical feature sizes of roughly \(50{\rm \,nm}\). To this end we use a resist etch mask in combination with a reactive-ion etch process for device patterning. Carrier confinement in graphene is known to be hindered by the Klein tunneling phenomenon, a challenge that can be overcome by using all-graphene nano-constrictions to decouple the source and drain contacts from the central island.
The traditionally used constriction design is comprised of long and narrow connections. We argue that a design with very short and narrow constrictions could be beneficial for the quantum dot performance as the length merely affects the overall conductance and requires extended side-gates to control their transmission. We confirm the functionality of two different devices in low-temperature measurements, which differ in the size of their central island with \(d=250{\rm \,nm}\) for device no. 1 and \(d=400{\rm \,nm}\) for device no. 2. Coulomb blockade measurements conducted at \(20{\rm \,mK}\) on both devices reveal clear sequences of Coulomb peaks with amplitudes of up to \(0.8\rm{\,e}^2/\rm{h}\), a value significantly larger than what is commonly reported for similar devices. We interpret this as an indication of rather homogeneous constrictions, resulting from the modified design. Coulomb diamond measurements display the behavior expected for a lithographically designed single quantum dot revealing no features related to the presence of an additional dot. Using the stability diagram we determine the addition energies of the two dots and find them to be in good agreement with values reported in the literature for devices of similar size. Using the normalized Coulomb peak spacing as a figure of merit for the device quality we find that device no. 1 quantitatively compares well with a similar device fabricated on a superior hexagonal boron-nitride substrate. This result underlines the importance of non-substrate related extrinsic disorder sources and emphasizes the cleanliness of our lithography process.
Superconductor-graphene quantum dot hybrid structures employing Nb and Al electrodes were successfully fabricated from a lithography point of view, yet no evidence of any superconducting related effect was found in transport measurements. We assign the missing observation to interface issues that require careful analysis and likely a revision of the fabrication process.
A property equally important in graphene Josephson Junctions and quantum dots is the electronic quality of the device, as has been addressed in the previous paragraphs. It turns out that the \(\rm{SiO}_{2}\;\) substrate and lithography residues constitute the two major sources of disorder in graphene. In chapter 5 we present an approach based on the original work of Dean et al. who utilize hexagonal-Boron nitride as a replacement substrate for \(\rm{SiO}_{2}\). This idea was then extended by Wang et al. who also used this material as a shield to protect the graphene surface from contaminations during the lithography process. These structures are commonly referred to as van der Waals heterostructures and are assembled by stacking individual crystals on top of each other.
For this purpose we build a mechanical transfer system based on an optical microscope equipped with an additional micro-manipulator stage allowing precise alignment of two micrometer sized crystals with high precision. We demonstrate the functionality of this setup on the basis of successfully fabricated heterostructures. Furthermore a variation on the traditional method for single graphene/boron nitride structures is presented. Based on a reversed stacking order this method yields large areas of homogeneous graphene, however it comes with the drawback of limited yields. A common type of problem accompanying the fabrication of encapsulated graphene structures is the formation of contamination spots (also referred to as bubbles in the literature) at the interfaces between BN and graphene. We experience similar issues which we are unable to prevent and thus pose a limit to the maximum available device size. In the next step we develop a full lithography paradigm including high-resolution device patterning by electron beam lithography combined with reactive ion etching and two different ways to establish electrical contact to the encapsulated graphene flake. In this context we explore the use of three different types of etch masks and find a double layer of PMMA/HSQ best suited for our purposes. Our low power plasma etch process utilizes a combination of \(\rm{O}_{2}\;\) and \(\rm{CHF}_{3}\;\) and is optimized to show reproducible etch results.
A widely used method for electrical contacts relies on one-dimensional edge contacts whose functionality crucially depends on the use of Cr as the interface layer. For compatibility reasons with superconducting materials, e.g. Nb, we develop a self-aligned contact process that instead of only Cr is also compatible with Ti. We achieve this by modifying the plasma etch parameters such that the etch process exhibits extremely low graphene etch rates while keeping a high etch rate for h-BN. This allows clearing of a narrow stripe of graphene at the edge of the structure by using a thick PMMA layer as etch mask as replacement of the PMMA/HSQ combination. The purpose of this PMMA mask is two-fold since it also serves as lift-off mask during metalization.
The quality of the edge contacts fabricated with either method is excellent as determined from transport measurements at room and cryogenic temperatures. With typical contact resistances of a few hundred \({\rm \,}\Omega\mu{\rm m}\) and a record low of \(100{\rm \,}\Omega\mu{\rm m}\) the contacts can be considered to be state-of-the-art. The positive effect of encapsulation on the electronic quality is confirmed on a device exhibiting charge carrier mobilities exceeding \(10^5{\rm \,cm^2/Vs}\), one magnitude larger than what is commonly achieved on \(\rm{SiO}_{2}\).
The investigation of induced superconductivity in graphene Josephson Junctions, quantum dots, and high mobility heterostructures underlines the versatility of this material system, while covering only a tiny fraction of its prospects. Combination of the acquired knowledge regarding the physical effects and the developed lithography processes lay the foundation towards the fabrication and study of novel graphene hybrid devices.
Introduction
CD4+ T cells express K2P5.1 (TWIK-related acid-sensitive potassium channel 2 (TASK2); KCNK5), a member of the two-pore domain potassium channel family, which has been shown to influence T cell effector functions. Recently, it was shown that K2P5.1 is upregulated upon (autoimmune) T cell stimulation. The aim of this study was to correlate expression levels of K2P5.1 on T cells from patients with rheumatoid arthritis (RA) to disease activity in these patients.
Methods
Expression levels of K2P5.1 were measured by RT-PCR in the peripheral blood of 58 patients with RA and correlated with disease activity parameters (C-reactive protein levels, erythrocyte sedimentation rates, disease activity score (DAS28) scores). Twenty patients undergoing therapy change were followed-up for six months. Additionally, synovial fluid and synovial biopsies were investigated for T lymphocytes expressing K2P5.1.
Results
K2P5.1 expression levels in CD4+ T cells show a strong correlation to DAS28 scores in RA patients. Similar correlations were found for serological inflammatory parameters (erythrocyte sedimentation rate, C-reactive protein). In addition, K2P5.1 expression levels of synovial fluid-derived T cells are higher compared to peripheral blood T cells. Prospective data in individual patients show a parallel behaviour of K2P5.1 expression to disease activity parameters during a longitudinal follow-up for six months.
Conclusions
Disease activity in RA patients correlates strongly with K2P5.1 expression levels in CD4+ T lymphocytes in the peripheral blood in cross-sectional as well as in longitudinal observations. Further studies are needed to investigate the exact pathophysiological mechanisms and to evaluate the possible use of K2P5.1 as a potential biomarker for disease activity and differential diagnosis.
Purpose: A study of real-time adaptive radiotherapy systems was performed to test the hypothesis that, across delivery systems and institutions, the dosimetric accuracy is improved with adaptive treatments over non-adaptive radiotherapy in the presence of patient-measured tumor motion. Methods and materials: Ten institutions with robotic(2), gimbaled(2), MLC(4) or couch tracking(2) used common materials including CT and structure sets, motion traces and planning protocols to create a lung and a prostate plan. For each motion trace, the plan was delivered twice to a moving dosimeter; with and without real-time adaptation. Each measurement was compared to a static measurement and the percentage of failed points for gamma-tests recorded. Results: For all lung traces all measurement sets show improved dose accuracy with a mean 2%/2 mm gamma-fail rate of 1.6% with adaptation and 15.2% without adaptation (p < 0.001). For all prostate the mean 2%/2 mm gamma-fail rate was 1.4% with adaptation and 17.3% without adaptation (p < 0.001). The difference between the four systems was small with an average 2%/2 mm gamma-fail rate of <3% for all systems with adaptation for lung and prostate. Conclusions: The investigated systems all accounted for realistic tumor motion accurately and performed to a similar high standard, with real-time adaptation significantly outperforming non-adaptive delivery methods.
Background: Phenprocoumon has been used as an oral anticoagulant in patients with thromboembolic disease for more than 40 years. So far its pharmacokinetics have not been analyzed in emergency situations. Methods: Phenprocoumon-treated patients with major bleeding or urgent surgery were included in a prospective, observational registry. Phenprocoumon drug concentrations were analyzed in samples, collected as part of routine care using ultraperformance liquid chromatography tandem mass spectrometry. Moreover, anticoagulant intensity and drug half-life (t1/2) were calculated. Results: 115 patients were included. Phenprocoumon levels declined over time with a half-life of 5.27 and 5.29 days in patients with major bleedings (n = 82) and with urgent surgery (n = 33). Baseline phenprocoumon levels were 2.2 times higher in the bleeding group compared to the surgery group (1.92 vs. 0.87 ng/mL, p < 0.0001). International normalized ratio (INR) values decreased rapidly during the first 24 h. In 27.6% of patients a rebound of INR (recurrent increase > 1.5) was observed which was associated with significantly increased bleeding rates (22% vs. 4.2% in patients with or without INR rebound, p = 0.012). Conclusions: In emergency situations, the long half-life of phenprocoumon may cause INR rebound and associated recurrent bleedings. Optimal management may need to include repeated vitamin K supplementation over days.
Predicting bee community responses to land-use changes: Effects of geographic and taxonomic biases
(2016)
Land-use change and intensification threaten bee populations worldwide, imperilling pollination services. Global models are needed to better characterise, project, and mitigate bees' responses to these human impacts. The available data are, however, geographically and taxonomically unrepresentative; most data are from North America and Western Europe, overrepresenting bumblebees and raising concerns that model results may not be generalizable to other regions and taxa. To assess whether the geographic and taxonomic biases of data could undermine effectiveness of models for conservation policy, we have collated from the published literature a global dataset of bee diversity at sites facing land-use change and intensification, and assess whether bee responses to these pressures vary across 11 regions (Western, Northern, Eastern and Southern Europe; North, Central and South America; Australia and New Zealand; South East Asia; Middle and Southern Africa) and between bumblebees and other bees. Our analyses highlight strong regionally-based responses of total abundance, species richness and Simpson's diversity to land use, caused by variation in the sensitivity of species and potentially in the nature of threats. These results suggest that global extrapolation of models based on geographically and taxonomically restricted data may underestimate the true uncertainty, increasing the risk of ecological surprises.
Background: Scientific guidelines have been developed to update and harmonize exercise based cardiac rehabilitation (ebCR) in German speaking countries. Key recommendations for ebCR indications have recently been published in part 1 of this journal. The present part 2 updates the evidence with respect to contents and delivery of ebCR in clinical practice, focusing on exercise training (ET), psychological interventions (PI), patient education (PE). In addition, special patients' groups and new developments, such as telemedical (Tele) or home-based ebCR, are discussed as well. Methods: Generation of evidence and search of literature have been described in part 1. Results: Well documented evidence confirms the prognostic significance of ET in patients with coronary artery disease. Positive clinical effects of ET are described in patients with congestive heart failure, heart valve surgery or intervention, adults with congenital heart disease, and peripheral arterial disease. Specific recommendations for risk stratification and adequate exercise prescription for continuous-, interval-, and strength training are given in detail. PI when added to ebCR did not show significant positive effects in general. There was a positive trend towards reduction in depressive symptoms for “distress management” and “lifestyle changes”. PE is able to increase patients’ knowledge and motivation, as well as behavior changes, regarding physical activity, dietary habits, and smoking cessation. The evidence for distinct ebCR programs in special patients’ groups is less clear. Studies on Tele-CR predominantly included low-risk patients. Hence, it is questionable, whether clinical results derived from studies in conventional ebCR may be transferred to Tele-CR. Conclusions: ET is the cornerstone of ebCR. Additional PI should be included, adjusted to the needs of the individual patient. PE is able to promote patients self-management, empowerment, and motivation. Diversity-sensitive structures should be established to interact with the needs of special patient groups and gender issues. Tele-CR should be further investigated as a valuable tool to implement ebCR more widely and effectively.
Background
Intensive Care Resources are heavily utilized during the COVID-19 pandemic. However, risk stratification and prediction of SARS-CoV-2 patient clinical outcomes upon ICU admission remain inadequate. This study aimed to develop a machine learning model, based on retrospective & prospective clinical data, to stratify patient risk and predict ICU survival and outcomes.
Methods
A Germany-wide electronic registry was established to pseudonymously collect admission, therapeutic and discharge information of SARS-CoV-2 ICU patients retrospectively and prospectively. Machine learning approaches were evaluated for the accuracy and interpretability of predictions. The Explainable Boosting Machine approach was selected as the most suitable method. Individual, non-linear shape functions for predictive parameters and parameter interactions are reported.
Results
1039 patients were included in the Explainable Boosting Machine model, 596 patients retrospectively collected, and 443 patients prospectively collected. The model for prediction of general ICU outcome was shown to be more reliable to predict “survival”. Age, inflammatory and thrombotic activity, and severity of ARDS at ICU admission were shown to be predictive of ICU survival. Patients’ age, pulmonary dysfunction and transfer from an external institution were predictors for ECMO therapy. The interaction of patient age with D-dimer levels on admission and creatinine levels with SOFA score without GCS were predictors for renal replacement therapy.
Conclusions
Using Explainable Boosting Machine analysis, we confirmed and weighed previously reported and identified novel predictors for outcome in critically ill COVID-19 patients. Using this strategy, predictive modeling of COVID-19 ICU patient outcomes can be performed overcoming the limitations of linear regression models.
Trial registration “ClinicalTrials” (clinicaltrials.gov) under NCT04455451.