Behaviour of superconductivity energetic characteristics in electron-doped cuprates. A simple model

A simple model to describe the energetic phase diagram of electron-doped cuprate superconductor is developed. Interband pairing operates between the UHB and the defect states created by doping and supplied by both extincting HB-s. Two defect subbands correspond to the ($\pi, 0$) and ($\pi /2,\pi /2$) momentum regions. Extended doping quenches the bare normal state gaps (pseudogaps). Maximal transition temperature corresponds to overlapping bands ensemble intersected by the chemical potential. Illustrative results for $T_c$, pseudo- and superconducting gaps are calculated on the whole doping scale. Major characteristics features on the phase diagram are reproduced. Anticipated manifestation of gaps doping dynamics is discussed.Comment: 10 pages, 3 figure

Dependence of the superconducting effective mass on doping in cuprates

Using a doping-determined multiband model spectrum of a "typical'' cuprate the effective mass of the paired carriers is calculated on the whole doping scale. Large $m_{ab}$ values quench rapidly with leaving the very underdoped region. Further slower diminishing of $m_{ab}$ reproduces the trend towards restoring the Fermi-liquid behaviour in cuprates with progressive doping. The interband superconducting condensate density ($n_s$) shows similar behaviour to the transition temperature and superconducting gaps. The $n_s(0)/m_{ab}$ ratio has an expressed maximum close to optimal doping as also the thermodynamic critical field. All the overlapping band components are intersected by the chemical potential at this. The pairing strength and the phase coherence develop simultaneously. In spite of its simplicity, the model describes the behaviour of various cuprate characteristics on the doping scale.Comment: 9 pages, 5 figure

On the interband pairing in doped graphane

An estimation shows that the interband pairing channel between the valence band components of doped graphane can support a superconducting transition temperature (or a contribution into this expected event) of the order of 100 K at the coupling strength near 1 eV

The Transatlantic Divergence in Legal Thought: American Law and Economics vs. German Doctrinalism, The

Law and economics has become an integral part of U.S. legal scholarship and the law school curriculum. Ever since the legal realist movement, scholars mostly view the law from an external perspective. It may be surprising to many in the United States that European legal scholarship has been largely resistant to this development. Law is typically viewed from the inside, that is as an autonomous discipline independent from the other social sciences. Most legal scholarship is doctrinal, meaning that legal scholars employ interpretative methods in order to systematically expose the law and to find out what the law is, frequently even before it is tackled by a court. U.S.-style legal scholarship is often considered very alien, and law and economics in particular often meets outright rejection. In this paper, we attempt to explain this divergence in the academic legal discourse using the reception of law and economics in legal scholarship in German-speaking countries as a case in point. However, we suspect that our approach can be generalized to other parts of Europe because of common roots and similar historical factors that can be identified in many parts of Europe. We propose a two-pronged explanation for why law and economics play an insignificant role in German-speaking countries while the United States has become a stronghold for it. We proceed as follows: Section II describes the rejection of the economic analysis of law in German-speaking countries and gives an overview on explanations that we found in the existing literature. Section III outlines our own hypothesis. Section IV traces the development in the United States, based on the existing literature. It starts with the classical legal thought of the late 19th century and subsequently surveys legal realism and the early development of law and economics since the 1960s. Section V describes the development of legal theory in German-speaking countries. As both legal realism and the Free Law School have pointed out, a doctrinal approach to law is equally prone to exploitation to achieve certain political ends. The current state of the discussion on legal philosophy is relevant to us insofar as it influences the ordinary legal discourse, in particular the predominant forms of legal scholarship. Section VI summarizes the above discussion