The color of polarization in cuprate superconductors

A technique for the identification of individual anisotropic grains in a heterogeneous and opaque material involves the observation of grain color in reflected light through crossed polarizers (color of polarization). Such colors are generally characteristic of particular phases. When grains of many members of the class of hole carrier cuprate superconductors are so viewed, using a xenon light source (600 K color temperature), a characteristic color of polarization is observed. This color was studied in many of these cuprate superconductors and a strong correlation was found between color and the existence of superconductivity. One of the members of the electron carrier cuprate superconductors (Nd(1.85)Ce(.15)CuO(4-x) was examined and found that it possesses the same color of polarization as all the electron hole carrier cuprate superconductors so far examined. The commonality of the characteristic color in the cuprate superconductors indicated that the presence of this color is independent of the nature of charge carriers. The correlation of this color with existence of superconductivity suggests that the origin of the color relates to the origin of superconductivity in the cuprate superconductors. Photometric techniques are also discussed

Energy Re-Investment

Despite worsening climate change threats, investment in energy—in the United States and globally—is dominated by fossil fuels. This Article provides a novel analysis of two pathways in corporate and securities law that together have the potential to shift patterns of energy investment. The first pathway targets current investments and corporate decision-making. It includes efforts to influence investors to divest from owning shares in fossil fuel companies and to influence companies to address climate change risks in their internal decision-making processes. This pathway has received increasing attention, especially in light of the Paris Agreement and the Trump Administration’s decision to withdraw from it. But, alone, it will not be enough to foster transition to a cleaner mix of energy sources. Key to achieving this goal of energy reinvestment is a second pathway focused on fostering investments in new companies innovating in clean energy. This pathway —which has received far less attention—uses emerging legal mechanisms to support greater investment in entrepreneurial clean energy ventures. The Article’s analysis of this pathway looks beyond the well-established ways in which subsidies support fossil fuels and renewable energy. It instead examines the significance for energy reinvestment of changes in U.S. securities regulation permitting greater crowdsourcing of investment and in state laws allowing for new types of corporations. This Article is the first to examine how these two pathways can synergistically promote energy reinvestment. The first pathway moves money away from fossil fuels, while the second helps to spur needed reinvestment. The Article proposes strategies for deploying the tools in the two pathways together, taking into account the motivations and constraints of diverse investors and corporations

Energy Re-Investment

Despite worsening climate change threats, investment in energy — in the United States and globally — is dominated by fossil fuels. This Article provides a novel analysis of two pathways in corporate and securities law that together have the potential to shift patterns of energy investment.The first pathway targets current investments and corporate decision-making. It includes efforts to influence investors to divest from owning shares in fossil fuel companies and to influence companies to address climate change risks in their internal decision-making processes. This pathway has received increasing attention, especially in light of the Paris Agreement and the Trump Administration’s decision to withdraw from it. But, alone, it will not be enough to foster transition to a cleaner mix of energy sources.Key to achieving this goal of energy reinvestment is a second pathway focused on fostering investments in new companies innovating in clean energy. This pathway — which has received far less attention — uses emerging legal mechanisms to support greater investment in entrepreneurial clean energy ventures. The Article’s analysis of this pathway looks beyond the well-established ways in which subsidies support fossil fuels and renewable energy. It instead examines the significance for energy reinvestment of changes in U.S. securities regulation permitting greater crowdsourcing of investment and in state laws allowing for new types of corporations.This Article is the first to examine how these two pathways can synergistically promote energy reinvestment. The first pathway moves money away from fossil fuels, while the second helps to spur needed reinvestment. The Article proposes strategies for deploying the tools in the two pathways together, taking into account the motivations and constraints of diverse investors and corporations

Almost clean rings and arithmetical rings

It is shown that a commutative B\'ezout ring $R$ with compact minimal prime spectrum is an elementary divisor ring if and only if so is $R/L$ for each minimal prime ideal $L$. This result is obtained by using the quotient space $\mathrm{pSpec} R$ of the prime spectrum of the ring $R$ modulo the equivalence generated by the inclusion. When every prime ideal contains only one minimal prime, for instance if $R$ is arithmetical, $\mathrm{pSpec} R$ is Hausdorff and there is a bijection between this quotient space and the minimal prime spectrum $\mathrm{Min} R$, which is a homeomorphism if and only if $\mathrm{Min} R$ is compact. If $x$ is a closed point of $\mathrm{pSpec} R$, there is a pure ideal $A(x)$ such that $x=V(A(x))$. If $R$ is almost clean, i.e. each element is the sum of a regular element with an idempotent, it is shown that $\mathrm{pSpec} R$ is totally disconnected and, $\forall x\in\mathrm{pSpec} R$, $R/A(x)$ is almost clean; the converse holds if every principal ideal is finitely presented. Some questions posed by Facchini and Faith at the second International Fez Conference on Commutative Ring Theory in 1995, are also investigated. If $R$ is a commutative ring for which the ring $Q(R/A)$ of quotients of $R/A$ is an IF-ring for each proper ideal $A$, it is proved that $R_P$ is a strongly discrete valuation ring for each maximal ideal $P$ and $R/A$ is semicoherent for each proper ideal $A$

Poor screening and nonadiabatic superconductivity in correlated systems

In this paper we investigate the role of the electronic correlation on the hole doping dependence of electron-phonon and superconducting properties of cuprates. We introduce a simple analytical expression for the one-particle Green's function in the presence of electronic correlation and we evaluate the reduction of the screening properties as the electronic correlation increases by approaching half-filling. The poor screening properties play an important role within the context of the nonadiabatic theory of superconductivity. We show that a consistent inclusion of the reduced screening properties in the nonadiabatic theory can account in a natural way for the $T_c$-$\delta$ phase diagram of cuprates. Experimental evidences are also discussed.Comment: 12 Pages, 6 Figures, Accepted on Physical Review

Design and operation of a cryogenic charge-integrating preamplifier for the MuSun experiment

The central detector in the MuSun experiment is a pad-plane time projection ionization chamber that operates without gas amplification in deuterium at 31 K; it is used to measure the rate of the muon capture process $\mu^- + d \rightarrow n + n + \nu_\mu$. A new charge-sensitive preamplifier, operated at 140 K, has been developed for this detector. It achieved a resolution of 4.5 keV(D$_2$) or 120 $e^-$ RMS with zero detector capacitance at 1.1 $\mu$s integration time in laboratory tests. In the experimental environment, the electronic resolution is 10 keV(D$_2$) or 250 $e^-$ RMS at a 0.5 $\mu$s integration time. The excellent energy resolution of this amplifier has enabled discrimination between signals from muon-catalyzed fusion and muon capture on chemical impurities, which will precisely determine systematic corrections due to these processes. It is also expected to improve the muon tracking and determination of the stopping location.Comment: 18 pages + title page, 13 figures, to be submitted to JINST; minor corrections, added one reference, updated author lis

Upper critical field for electrons in two-dimensional lattice

We address a problem of the upper critical field in a lattice described by a two-dimensional tight-binding model with the on-site pairing. We develop a finite-system-approach which enables investigation of magnetic and superconducting properties of electrons on clusters, consisting of a few thousand sites. We discuss how the quasiparticle density of states changes with the applied external magnetic field and present the temperature dependence of the upper critical field. We also briefly discuss possible extension of the model to account for the properties of high-temperature superconductors.Comment: 4 pages, 3 postscript figures, revte

Climate change litigation: a review of research on courts and litigants in climate government

Studies of climate change litigation have proliferated over the past two decades, as lawsuits across the world increasingly bring policy debates about climate change mitigation and adaptation, as well as climate change‐related loss and damage to the attention of courts. We systematically identify 130 articles on climate change litigation published in English in the law and social sciences between 2000 and 2018 to identify research trajectories. In addition to a budding interdisciplinarity in scholarly interest in climate change litigation we also document a growing understanding of the full spectrum of actors involved and implicated in climate lawsuits and the range of motivations and/or strategic imperatives underpinning their engagement with the law. Situating this within the broader academic literature on the topic we then highlight a number of cutting edge trends and opportunities for future research. Four emerging themes are explored in detail: the relationship between litigation and governance; how time and scale feature in climate litigation; the role of science; and what has been coined the “human rights turn” in climate change litigation. We highlight the limits of existing work and the need for future research—not limited to legal scholarship—to evaluate the impact of both regulatory and anti‐regulatory climate‐related lawsuits, and to explore a wider set of jurisdictions, actors and themes. Addressing these issues and questions will help to develop a deeper understanding of the conditions under which litigation will strengthen or undermine climate governance. This article is categorized under: Policy and Governance > Multilevel and Transnational Climate Change Governanc