Advanced search options

You searched for `subject:(Cooper Quartet)`

. One record found.

▼ Search Limiters

University of Cincinnati

1.
Talukdar, Aseem.
Condensation of *Cooper* Pairs and *Cooper* Quartets in
Fermionic Systems with Multiple Internal Degrees of Freedom.

Degree: PhD, Arts and Sciences : Physics, 2008, University of Cincinnati

URL: http://rave.ohiolink.edu/etdc/view?acc_num=ucin1227214728

Condensation of Cooper pairs and Cooper
quartets in fermionic systems with multiple internal degrees of
freedom is studied. In this thesis work, I work on two major
projects. On the first project I discuss Cooper pair condensation
and while on the second I discuss Cooper quartet condensation.
Due to the restrictions imposed by Pauli's
principle, no two identical fermions can occupy a single quantum
state. Therefore for electronic systems with two internal states,
the maximum number of electrons that could be bound together is
two. However; for a fermionic system having more than two internal
states, it is possible that the bound state structure could be
quite different. On my thesis I focus on systems that have four
internal states. On one hand it is possible that the system will
still undergo some types of pairing condensation, but there is also
a possibility that the fermions will form a more complex structure
where four fermions are bound together which we call a quartet.
Physical systems where fermions can have four internal states
include a system of spin-3/2 fermionic atoms and a two band
electronic system. I look at possible two and four particle bound
state structures in such systems. First I
discuss pairing condensation in the system. I extend the original
Cooper problem to the pairing of two quasiparticles excited out of
two decoupled superconductors. I show that two quasiparticles can
form a bound state but can't destabilize the underlying system. I
derive the Landau Ginzberg free energy for the system and use it to
describe the pairing structure that will exist under different
limits of the interaction among the fermions.
In the second work, I discuss quartet condensation in the
system. I modify the Landau Ginzberg approach to include
fluctuations in the order parameters and to allow for a quartet
order parameter. We show that under the special SU(4) symmetric
limit of interaction, the system has a tendency to undergo a
quartet instability which will suppress the pair instability. More
importantly, the same tendency can be seen even if the interaction
is tuned away from the SU(4) limit.
*Advisors/Committee Members: Michael, Ma (Committee Chair).*

Subjects/Keywords: Physics; Condensation; Cooper pair; Cooper Quartet; Quartet Instability

Record Details Similar Records

❌

APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Talukdar, A. (2008). Condensation of Cooper Pairs and Cooper Quartets in Fermionic Systems with Multiple Internal Degrees of Freedom. (Doctoral Dissertation). University of Cincinnati. Retrieved from http://rave.ohiolink.edu/etdc/view?acc_num=ucin1227214728

Chicago Manual of Style (16^{th} Edition):

Talukdar, Aseem. “Condensation of Cooper Pairs and Cooper Quartets in Fermionic Systems with Multiple Internal Degrees of Freedom.” 2008. Doctoral Dissertation, University of Cincinnati. Accessed January 25, 2020. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1227214728.

MLA Handbook (7^{th} Edition):

Talukdar, Aseem. “Condensation of Cooper Pairs and Cooper Quartets in Fermionic Systems with Multiple Internal Degrees of Freedom.” 2008. Web. 25 Jan 2020.

Vancouver:

Talukdar A. Condensation of Cooper Pairs and Cooper Quartets in Fermionic Systems with Multiple Internal Degrees of Freedom. [Internet] [Doctoral dissertation]. University of Cincinnati; 2008. [cited 2020 Jan 25]. Available from: http://rave.ohiolink.edu/etdc/view?acc_num=ucin1227214728.

Council of Science Editors:

Talukdar A. Condensation of Cooper Pairs and Cooper Quartets in Fermionic Systems with Multiple Internal Degrees of Freedom. [Doctoral Dissertation]. University of Cincinnati; 2008. Available from: http://rave.ohiolink.edu/etdc/view?acc_num=ucin1227214728