Multi-year Water Allocation: A Policy Analysis for Groundwater Management and Conservation for Irrigated Agriculture

Heavy withdrawals from the most dependable source of groundwater in the Texas Panhandle, the Ogallala Aquifer, create an impending need for implementing water conservation policies. This study evaluates the policy option of multi-year water allocation coupled with water use restriction in four water deficit counties of Castro, Deafsmith, Parmer and Swisher over a sixty year planning horizon. Results indicate that the water use in the study area declines with progressive restriction rates accompanied by a substantial decrease in the net present value of net returns over sixty years and therefore it is important to analyze the socio-economic effects of implementing such a policy alternative.Multi-year allocation, Ogallala Aquifer, Texas Panhandle, Water conservation, Environmental Economics and Policy, Farm Management, Resource /Energy Economics and Policy,

Topological invariants for spin-orbit coupled superconductor nanowires

We show that a spin-orbit coupled semiconductor nanowire with Zeeman splitting and s-wave superconductivity is in symmetry class BDI (not D as is commonly thought) of the topological classification of band Hamiltonians. The class BDI allows for an integer Z topological invariant equal to the number of Majorana fermion (MF) modes at each end of the quantum wire protected by the chirality symmetry (reality of the Hamiltonian). Thus it is possible for this system (and all other d=1 models related to it by symmetry) to have an arbitrary integer number, not just 0 or 1 as is commonly assumed, of MFs localized at each end of the wire. The integer counting the number of MFs at each end reduces to 0 or 1, and the class BDI reduces to D, in the presence of terms in the Hamiltonian that break the chirality symmetry.Comment: 4+ pages, no figure

Diamagnetic susceptibility obtained from the six-vertex model and its implications for the high-temperature diamagnetic state of cuprate superconductors

We study the diamagnetism of the 6-vertex model with the arrows as directed bond currents. To our knowledge, this is the first study of the diamagnetism of this model. A special version of this model, called F model, describes the thermal disordering transition of an orbital antiferromagnet, known as d-density wave (DDW), a proposed state for the pseudogap phase of the high-Tc cuprates. We find that the F model is strongly diamagnetic and the susceptibility may diverge in the high temperature critical phase with power law arrow correlations. These results may explain the surprising recent observation of a diverging low-field diamagnetic susceptibility seen in some optimally doped cuprates within the DDW model of the pseudogap phase.Comment: 4.5 pages, 2 figures, revised version accepted in Phys. Rev. Let

Structural, optical and nanomechanical properties of (1 1 1) oriented nanocrystalline ZnTe thin films

Structural, optical and nanomechanical properties of nanocrystalline Zinc Telluride (ZnTe) films of thickness upto 10 microns deposited at room temperature on borosilicate glass substrates are reported. X-ray diffraction patterns reveal that the films were preferentially oriented along the (1 1 1) direction. The maximum refractive index of the films was 2.74 at a wavelength of 2000 nm. The optical band gap showed strong thickness dependence. The average film hardness and Young’s modulus obtained from loaddisplacement curves and analyzed by Oliver-Pharr method were 4 and 70 GPa respectively. Hardness of (1 1 1) oriented ZnTe thin films exhibited almost 5 times higher value than bulk. The studies show clearly that the hardness increases with decreasing indentation size, for indents between 30 and 300 nm in depth indicating the existence of indentation size effect. The coefficient of friction for these films as obtained from the nanoscratch test was ∼0.4.Financial support in the form of fellowships to MSRNK and SK from the ACRHEM project of DRDO is acknowledged

Simulation results for an interacting pair of resistively shunted Josephson junctions

Using a new cluster Monte Carlo algorithm, we study the phase diagram and critical properties of an interacting pair of resistively shunted Josephson junctions. This system models tunneling between two electrodes through a small superconducting grain, and is described by a double sine-Gordon model. In accordance with theoretical predictions, we observe three different phases and crossover effects arising from an intermediate coupling fixed point. On the superconductor-to-metal phase boundary, the observed critical behavior is within error-bars the same as in a single junction, with identical values of the critical resistance and a correlation function exponent which depends only on the strength of the Josephson coupling. We explain these critical properties on the basis of a renormalization group (RG) calculation. In addition, we propose an alternative new mean-field theory for this transition, which correctly predicts the location of the phase boundary at intermediate Josephson coupling strength.Comment: 21 pages, some figures best viewed in colo

Theory of four-photon resonant vacuum-ultraviolet generation with reabsorption via resonant two-photon process

Motivated by the recent experiments of Vallee et al. [IEEE J. Quantum Electron. QE-19, 1331 (1983)], we formulate the theory of the four-photon resonant VUV generation in a media that is positively dispersive. Dispersion characteristics of the medium change as the refractive index becomes intensity dependent. The phase-matching conditions for the third-harmonic generation through a five-photon process are derived. The blue shifts as observed by Vallee et al. are explained as due to the interaction of generated VUV via a two-photon process. Finally the renormalization of the fifth-order polarization due to the generated fields is also considered