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National Technical University of Athens
The group:
Assist. Prof. Georgios Varelogiannis
Marios Georgiou (PhD student)
Spiros Tsonis (PhD student)
Panagiotis Kotetes
(Diploma Student continue to PhD)
Ioannis Doxaras (future diploma student and
possibly PhD)
Our research is titled:
Theoretical
investigations of the coexistence and
competition of electronic phases in fermionic systems
We are interested in
Mean-Field Studies of Inhomogeneous States in a Spinor Space of 8 dimensions
using the wave function
which provides an
(8x8) matrix Green’s Function.
The sort of
questions we hope to answer are:
- What is the role
of particle-hole asymmetry (induced for example by doping or pressure)
on the competition of phases ?
- Can one have
situations where more than two OP coexist and/or compete ?
- Are there novel
phenomena related to this coexistence and/or competition ?
- Are there
situations that may favor inhomogeneous phases ?
- Can we construct
a framework for “realistic” numerical calculations of inhomogeneous
states in precise materials ?
- Shall we always
consider competition of phases when studying the low energy physics of
fermionic systems ?
Problems
currently under investigation are:
- In a tetragonal
system with center of symmetry 16 p-h OP and 12 SC OP form generators of
an SO(8) algebra.
- We can predict
several patterns of coexisting orders because of particle-hole asymmetry
For example d-wave SC and π-triplet SC and SDW are mixed by p-h
asymmetry similarly as the CDW,SDW and FM
- Breaking the Center of Symmetry Introduces Additional
“Mixing” Phenomena Which are Under Investigation
- Investigations of
patterns of phases imposed by magnetic fields and by impurities
We
would like to be able to be able to develop our research to:
- Make the link
between microscopic inhomogeneity and Mesoscopic inhomogeneity
- Introduce additional
transitions like:
commensurate to
incommensurate
ferroelectric transitions
- More realistic
calculations for specific materials (multiple
- Bands, transitions
specific to given electronic topologies etc.)
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