Superconducting states of pure and doped graphene

We study the superconducting phases of the two-dimensional honeycomb lattice of graphene. We find two spin singlet pairing states, s-wave and an exotic $p+ip$ that is possible because of the special structure of the honeycomb lattice. At half filling, the $p+ip$ phase is gapless and superconductivity is a hidden order. We discuss the possibility of a superconducting state in metal coated graphene.Comment: 4 pages, 6 figure

An efficient method for the Quantum Monte Carlo evaluation of the static density-response function of a many-electron system

In a recent Letter we introduced Hellmann-Feynman operator sampling in diffusion Monte Carlo calculations. Here we derive, by evaluating the second derivative of the total energy, an efficient method for the calculation of the static density-response function of a many-electron system. Our analysis of the effect of the nodes suggests that correlation is described correctly and we find that the effect of the nodes can be dealt with

Low thrust interplanetary trajectory open loop error analysis, volume 1 Final report

Computer program for open-loop error analysis of low thrust interplanetary trajectorie

Zahn v. International Paper Co. - The Aggregation Principle and Its Effect on Jurisdiction in Rule 23 (b)(3) Class Actions

The course of the present inquiry begins with a consideration of the current obstacles confronting a diversity (b) (3) class action and proceeds toward an analysis of such considerations and the re- sulting ramifications, Special emphasis is placed on the policy aspects of the aggregation doctrine, the jurisdictional amount statute (28 U.S.C. § 1332), and the modern class action device, with specific reference to the problematic condition of the current judicial system.\u2

Spin fluctuations, susceptibility and the dipole oscillation of a nearly ferromagnetic Fermi gas

We discuss the spin fluctuations and the role played by the magnetic susceptibility in an atomic Fermi gas interacting with positive scattering length. Both thermal and quantum fluctuations are considered. Using a sum rule approach and recent {\it ab initio} Monte Carlo results for the magnetic susceptibility of uniform matter we provide explicit predictions for the frequency of the spin dipole oscillation of a gas trapped by a harmonic potential and discuss the deviations from the behaviour of an ideal gas when the system approaches the ferromagnetic transition. The role of the Landau's parameters in the characterization of the magnetic properties is also discussed.Comment: 5 pages, 2 figure

Approximation for discrete Fourier transform and application in study of three-dimensional interacting electron gas

The discrete Fourier transform is approximated by summing over part of the terms with corresponding weights. The approximation reduces significantly the requirement for computer memory storage and enhances the numerical computation efficiency with several orders without loosing accuracy. As an example, we apply the algorithm to study the three-dimensional interacting electron gas under the renormalized-ring-diagram approximation where the Green's function needs to be self-consistently solved. We present the results for the chemical potential, compressibility, free energy, entropy, and specific heat of the system. The ground-state energy obtained by the present calculation is compared with the existing results of Monte Carlo simulation and random-phase approximation.Comment: 11 pages, 13 figure

Mirror, Mirror, On the Wall—Biased Impartiality, Appearances, and the Need for Recusal Reform

The article focuses on a troubling aspect of contemporary judicial morality. Impartiality—and the appearance of impartiality—are the foundation of judicial decision-making, judicial morality, and the public’s trust in the rule of law. Recusal, in which a jurist voluntarily removes himself or herself from participating in a case, is a process that attempts to preserve and promote the substance and the appearance of judicial impartiality. Nevertheless, the traditional common law recusal process, prevalent in many of our state court systems, manifestly subverts basic legal and ethical norms. Today’s recusal practice—whether rooted in unintentional hypocrisy, wishful thinking, or a pathological cognitive dissonance— has been habitually relegated to the periphery of our administration of justice when its rightful place should be its nucleus. Impartiality of judgment and the integrity of the judicial process are critical weaknesses of a recusal regime that vests virtually unfettered discretion in a jurist to conduct an ad hoc self-assessment of his or own impartiality, i.e., the paradox of biased impartiality. In such circumstances, actual and apparent impartiality of a jurist, fortified by the mechanical application of the common law’s presumption of judicial impartiality, is misguided and delusional. The article opens with a brief overview of the historical development of recusal principles and judicial ethical codes, followed by an exposition of recusal theory and practice in a representative state (Pennsylvania). The background of ethical principles and practice culminates in a specific recusal proposal (a potential judicial rule or statute) based on over-arching categorical and procedural imperatives that can guide recusal reform efforts. The article, thus, goes well beyond the many good, but general, commentaries on recusal and fills the void of a prescribed process. The detailed recusal procedures represent an amalgamation of best practices urged by commentators and implemented, in varying degrees, in some states. The proposal is both practical and workable, applicable to elected and appointed judiciaries, and pertinent to the disturbing specter of judges’ increasing reliance on money in judicial campaigns. Thus, the article seeks to highlight the importance of specific procedural processes to meaningfully promote judicial fairness and ethical conduct in substance and appearance

Zero sound in triplet-correlated superfluid neutron matter

The linear response of a superfluid neutron liquid onto external vector field is studied for the case of ^{3}P_{2}-\,^{3}F_{2} pairing. The consideration is limited to the case when the wave-length of the perturbation is large as compared to the coherence length in the superfluid matter and the transferred energy is small in comparison with the gap amplitude. The obtained results are used to analyse the collisionless phonon-like excitations of the condensate of superfluid neutrons. In particular, we analyze the case of neutron condensation into the state with $m_{j}=0$ which is conventionally considered as the preferable one in the bulk matter of neutron stars. Zero sound (if it exists) is found to be anisotropic and undergoes strong decrement below some temperature threshold depending substantially on the intensity of Fermi-liquid interactions.Comment: 16 pages, 2 figure