**Influence of magnetic boundaries scattering on order parameter and density of states of 3He in confined geometry.** / Egorov, Evgeny.

Research output: Thesis › Doctoral Thesis

Unpublished

**Influence of magnetic boundaries scattering on order parameter and density of states of 3He in confined geometry.** / Egorov, Evgeny.

Research output: Thesis › Doctoral Thesis

Egorov, E 2018, 'Influence of magnetic boundaries scattering on order parameter and density of states of 3He in confined geometry.', Ph.D., Royal Holloway, University of London.

Egorov, E. (2018). *Influence of magnetic boundaries scattering on order parameter and density of states of 3He in confined geometry.*

Egorov E. Influence of magnetic boundaries scattering on order parameter and density of states of 3He in confined geometry.. 2018. 112 p.

@phdthesis{fa4976e495c64746afda977fb602fa18,

title = "Influence of magnetic boundaries scattering on order parameter and density of states of 3He in confined geometry.",

abstract = "This thesis is concentrated on investigating the effect of the boundary conditions on p-wave superconductivity/superfluidity. The first part of the thesis discusses a possibility of creating a Josephson effect as a result of the geometry of the sample. The second part continues work on a theoretical investigation of 3He in a confined geometry. To approach these problemstheoretically a Ginzburg-Landau theory of second order transitions was used, while for the second part a quasiclassical approach was established. For the first problem gap profiles for various opening angles were obtained allowing to build a final plot with Josephson current magnitude dependence on the configuration of the gap on the two sides of Josephson junction. For the second problem, self-consistent order parameter profiles and local densities of stateswere obtained for various spin-mixing angles. A value of the parameter that nullifies the confinement effect on 3He was found, allowing for B-phase to be stable in a slab. Also presented a discussion of other possible outcomes of magnetic scattering at the boundaries on spectral densities of states, such as stabilization of the polar phase and the extension of the zero energy states area of existence across the Fermi surface up to the equator of the sphere(p_z = 0).",

keywords = "Topological superfluid, unconventional superconductivity, confined He-3, Josephson effect, Ricatti equation, Quasiclassical approximation",

author = "Evgeny Egorov",

year = "2018",

language = "English",

school = "Royal Holloway, University of London",

}

TY - THES

T1 - Influence of magnetic boundaries scattering on order parameter and density of states of 3He in confined geometry.

AU - Egorov, Evgeny

PY - 2018

Y1 - 2018

N2 - This thesis is concentrated on investigating the effect of the boundary conditions on p-wave superconductivity/superfluidity. The first part of the thesis discusses a possibility of creating a Josephson effect as a result of the geometry of the sample. The second part continues work on a theoretical investigation of 3He in a confined geometry. To approach these problemstheoretically a Ginzburg-Landau theory of second order transitions was used, while for the second part a quasiclassical approach was established. For the first problem gap profiles for various opening angles were obtained allowing to build a final plot with Josephson current magnitude dependence on the configuration of the gap on the two sides of Josephson junction. For the second problem, self-consistent order parameter profiles and local densities of stateswere obtained for various spin-mixing angles. A value of the parameter that nullifies the confinement effect on 3He was found, allowing for B-phase to be stable in a slab. Also presented a discussion of other possible outcomes of magnetic scattering at the boundaries on spectral densities of states, such as stabilization of the polar phase and the extension of the zero energy states area of existence across the Fermi surface up to the equator of the sphere(p_z = 0).

AB - This thesis is concentrated on investigating the effect of the boundary conditions on p-wave superconductivity/superfluidity. The first part of the thesis discusses a possibility of creating a Josephson effect as a result of the geometry of the sample. The second part continues work on a theoretical investigation of 3He in a confined geometry. To approach these problemstheoretically a Ginzburg-Landau theory of second order transitions was used, while for the second part a quasiclassical approach was established. For the first problem gap profiles for various opening angles were obtained allowing to build a final plot with Josephson current magnitude dependence on the configuration of the gap on the two sides of Josephson junction. For the second problem, self-consistent order parameter profiles and local densities of stateswere obtained for various spin-mixing angles. A value of the parameter that nullifies the confinement effect on 3He was found, allowing for B-phase to be stable in a slab. Also presented a discussion of other possible outcomes of magnetic scattering at the boundaries on spectral densities of states, such as stabilization of the polar phase and the extension of the zero energy states area of existence across the Fermi surface up to the equator of the sphere(p_z = 0).

KW - Topological superfluid

KW - unconventional superconductivity

KW - confined He-3

KW - Josephson effect

KW - Ricatti equation

KW - Quasiclassical approximation

M3 - Doctoral Thesis

ER -