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Description
Spin-orbit interactions are important in determining nuclear structure. They lead to a shift in the energy levels in the nuclear shell model, which could explain the sequence of magic numbers in nuclei. Also in nucleon-nucleon scattering, the large nucleon polarization observed perpendicular to the plane of scattering needs to be

Spin-orbit interactions are important in determining nuclear structure. They lead to a shift in the energy levels in the nuclear shell model, which could explain the sequence of magic numbers in nuclei. Also in nucleon-nucleon scattering, the large nucleon polarization observed perpendicular to the plane of scattering needs to be explained by adding the spin-orbit interactions in the potential. Their effects change the equation of state and other properties of nuclear matter. Therefore, the simulation of spin-orbit interactions is necessary in nuclear matter.

The auxiliary field diffusion Monte Carlo is an effective and accurate method for calculating the ground state and low-lying exited states in nuclei and nuclear matter. It has successfully employed the Argonne v6' two-body potential to calculate the equation of state in nuclear matter, and has been applied to light nuclei with reasonable agreement with experimental results. However, the spin-orbit interactions were not included in the previous simulations, because the isospin-dependent spin-orbit potential is difficult in the quantum Monte Carlo method. This work develops a new method using extra auxiliary fields to break up the interactions between nucleons, so that the spin-orbit interaction with isospin can be included in the Hamiltonian, and ground-state energy and other properties can be obtained.
ContributorsZhang, Jie (Author) / Schmidt, Kevin E (Thesis advisor) / Alarcon, Ricardo (Committee member) / Lebed, Richard (Committee member) / Shumway, John (Committee member) / Arizona State University (Publisher)
Created2014
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Description
Quark matter at sufficiently high density and low temperature is expected to be a color superconductor, and may exist in the interior of neutron stars. The properties of two simplest possible color-superconducting phases, i.e., the color-flavor-locked (CFL) and two-flavor superconducting (2SC) phases, are reviewed. The effect of a magnetic field

Quark matter at sufficiently high density and low temperature is expected to be a color superconductor, and may exist in the interior of neutron stars. The properties of two simplest possible color-superconducting phases, i.e., the color-flavor-locked (CFL) and two-flavor superconducting (2SC) phases, are reviewed. The effect of a magnetic field on the pairing dynamics in two-flavor color-superconducting dense quark matter is investigated. A universal form of the gap equation for an arbitrary magnetic field is derived in the weakly coupled regime of QCD at asymptotically high density, using the framework of Schwinger-Dyson equation in the improved rainbow approximation. The results for the gap in two limiting cases, weak and strong magnetic fields, are obtained and discussed. It is shown that the superconducting gap function in the weak magnetic field limit develops a directional dependence in momentum space. This property of the gap parameter is argued to be a consequence of a long-range interaction in QCD.
ContributorsYu, Lang (Author) / Shovkovy, Igor A. (Thesis advisor) / Lunardini, Cecilia (Committee member) / Schmidt, Kevin (Committee member) / Alarcon, Ricardo (Committee member) / Lebed, Richard (Committee member) / Arizona State University (Publisher)
Created2012
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Description
A theoretical study of a three-dimensional (3D) N/S interface with arbitrary spin

polarization and interface geometry is presented. The 3D model gives the same intrinsic

spin polarization and superconducting gap dependence as the 1D model. This

demonstrates that the 1D model can be use to t 3D data.

Using this model, a Heusler alloy

A theoretical study of a three-dimensional (3D) N/S interface with arbitrary spin

polarization and interface geometry is presented. The 3D model gives the same intrinsic

spin polarization and superconducting gap dependence as the 1D model. This

demonstrates that the 1D model can be use to t 3D data.

Using this model, a Heusler alloy is investigated. Andreev reflection measurements

show that the spin polarization is 80% in samples sputtered on unheated MgO(100)

substrates and annealed at high temperatures. However, the spin polarization is

considerably smaller in samples deposited on heated substrates.

Ferromagnetic FexSi􀀀x alloys have been proposed as potential spin injectors into

silicon with a substantial spin polarization. Andreev Reflection Spectroscopy (ARS) is

utilized to determine the spin polarization of both amorphous and crystalline Fe65Si35

alloys. The amorphous phase has a significantly higher spin polarization than that of

the crystalline phase.

In this thesis, (1111) Fe SmO0:82F0:18FeAs and Pb superconductors are used to

measure the spin polarization of a highly spin-polarized material, La0:67Sr0:33MnO3.

Both materials yield the same intrinsic spin polarization, therefore, Fe-superconductors

can be used in ARS. Based on the behavior of the differential conductance for highly

spin polarized LSMO and small polarization of Au, it can be concluded that the Fe-Sc

is not a triplet superconductor.

Zero bias anomaly (ZBA), in point contact Andreev reflection (PCAR), has been

utilized as a characteristic feature to reveal many novel physics. Complexities at a

normal metal/superconducting interface often cause nonessential ZBA-like features,

which may be mistaken as ZBA. In this work, it is shown that an extrinsic ZBA,

which is due to the contact resistance, cannot be suppressed by a highly spin-polarized

current while a nonessential ZBA cannot be affected the contact resistance.

Finally, Cu/Cu multilayer GMR structures were fabricated and the GMR% measured

at 300 K and 4.5 K gave responses of 63% and 115% respectively. Not only

do the GMR structures have a large enhancement of resistance, but by applying an

external magnetic eld it is shown that, unlike most materials, the spin polarization

can be tuned to values of 0.386 to 0.415 from H = 0 kOe to H = 15 kOe.
ContributorsGifford, Jessica Anna (Author) / Chen, Tingyong (Thesis advisor) / Bennett, Peter (Committee member) / Nemanich, Robert (Committee member) / Tsen, Kong-Thon (Committee member) / Arizona State University (Publisher)
Created2015
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Description
Recent developments inspired by string theoretic considerations provide multiple maps between gravitational and non-gravitational degrees of freedom. In this dis- sertation I discuss aspects of three such dualities, the gauge/gravity duality and how it applies to condensed matter systems, the fluid-gravity duality, and the color-kinematics duality.

The first of these, colloquially

Recent developments inspired by string theoretic considerations provide multiple maps between gravitational and non-gravitational degrees of freedom. In this dis- sertation I discuss aspects of three such dualities, the gauge/gravity duality and how it applies to condensed matter systems, the fluid-gravity duality, and the color-kinematics duality.

The first of these, colloquially referred to as holography, in its simplest form posits a mapping of d-dimensional conformal field theory (boundary) partition functions onto d+1 dimensional gravitational(bulk) partition functions, where the space-time carries a negative cosmological constant. In this dissertation I discuss the results of our calculations examining the emergence of Fermi-surface like structures in the bulk spacetime despite the absence of explicit Fermions in the theory.Specifically the 4+1 dimensional Einstein-Maxwell-Chern-Simons theory with scalar degrees of freedom, with and without symmetry breaking is considered. These theories are gravity duals to spatially modulated gauge theories. The results of calculations presented here indicate the existence of a rich phase space, most prominently Fermi shells are seen.

The second set of dualities considered are the color-kinematic duality, also known as the double-copy paradigm and the fluid-gravity duality. The color-kinematic duality involves identifying spin-2 amplitudes as squares of spin-1 gauge amplitudes. This double copy picture is utilized to construct “single copy” representations for space- times where Einstein’s equations reduce to incompressible Navier-Stokes equations. In this dissertation I show how spacetimes that characterize irrotational fluids and constant vorticity fluids each map to distinct algebraically special spacetimes. The Maxwell fields obtained via the double-copy picture for such spacetimes further provide interesting parallels, for instance, the vorticity of the fluid is proportional to the magnetic field of the associated gauge field.
ContributorsMonga, Nikhil (Author) / Keeler, Cynthia A. (Thesis advisor) / Lebed, Richard (Committee member) / Erten, Onur (Committee member) / Baumgart, Matthew (Committee member) / Arizona State University (Publisher)
Created2020