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My research interests are mainly in the field of strongly correlated electron systems. Specifically, I am interested in unconventional and high Tc superconductivity, the pseudogap phenomenon and the superconducting sample's edge states. These problems often lead to effective gauge theories such as QED3 on which I spent a large part of my Ph.D. studies with Marcel Franz .

More recently I've been working on the graphene problem, a two dimensional honeycomb lattice with extraordinary electronic properties. Together with my postdoc advisor Allan MacDonald and other collaborators (Yafis Barlas, Marco Polini , Reza Asgari) we are studying the effects of Coulomb interactions on the electronic properties of the system. Another related problem is the tendency of graphene to develop localized edge states which lead to the spin Hall effect (this work is done in collaboration with Jason Hill and Nikolai Sinitsyn).
I'm also interested in the phenomenon of orbital order in transition metal oxides. These systems may be described by a Hubbard model with orbital degeneracy (t2g triply degenerate state) or the Kugel-Khomskii model. These systems (examples are LaTiO3 and YTiO3) display a variety of interesting phenomenon including a spatial arrangement of electrons in orbits (i.e., orbital order) and surprising magnetic properties.

The Meissner effect - levitation of a magnet above a magnetic field repeling superconductor.




Simulated fourier transformed density of states of a d-wave superconductor with impurities.


Publications:
  • Theory of inter-edge superexchange in zigzag edge magnetism
    J. Jung, T. Pereg-Barnea and A. H. MacDonald
    ( arXiv:0812.1047)

  • Magnetic field evolution of the quasiparticle interference in a d-wave superconductor
    T. Pereg-Barnea, and M. Franz
    ( arXiv:0802.3936, Phys. Rev. B 78, 020509 (2008) )

  • Chiral quasiparticle local density of states maps in graphene
    T. Pereg-Barnea, and A.H. MacDonald
    (arXiv:0803.0971, Phys. Rev. B 78, 014201 (2008)).

  • The Role of Electron-electron Interactions in Graphene ARPES Spectra
    Marco Polini, Reza Asgari, Giovanni Borghi, Yafis Barlas, T. Pereg-Barnea, and A.H. MacDonald
    (arXiv/0707.4230, Phys. Rev. B 77, 081411(R) (2008) ).

  • Graphene: A Pseudochiral Fermi Liquid
    Marco Polini, Reza Asgari, Yafis Barlas, T. Pereg-Barnea and A.H. MacDonald
    (arXiv:0704.3786, Solid State Communications 2007.04.035).

  • Chirality and Correlations in Graphene
    Yafis Barlas, T. Pereg-Barnea, Marco Polini, Reza Asgari and A.H. MacDonald
    (cond-mat/0701257, Phys. Rev. Lett 98, 236601 (2007) ).

  • Duality and the vibrational modes of a Cooper-pair Wigner crystal
    T. Pereg-Barnea and M.Franz (cond-mat/0604559, Phys. Rev. B 74, 014518 (2006)).



  • Andreev Edge State on Semi-Infinite Triangular Lattice: Detecting the Pairing Symmetry in Na0.35CoO2.yH2O
    T. Pereg-Barnea and Hsiu-Hau Lin (cond-mat/0407187, Europhysics Letters 69, 791(2005) ).

  • Quasiparticle interference patterns as a test for the nature of the pseudogap phase in the cuprate superconductors
    T. Pereg-Barnea and M.Franz (cond-mat/0401594, International Journal of Modern Physics B 19, 731(2005)).
  • Absolute values of the London penetration depth in YBa2Cu3O6+y measured by zero field ESR spectroscopy on Gd doped single crystals
    T. Pereg-Barnea, P. J. Turner, R. Harris, G. K. Mullins, J. S. Bobowski, M. Raudsepp, Ruixing Liang, D. A. Bonn and W. N. Hardy (cond-mat/0311555, PRB 69 184513 (2004)).

  • Theory of the quasiparticle interference patterns in the pseudogap phase of the cuprate superconductors
    T. Pereg-Barnea and M.Franz (cond-mat/0306712, PRB 68, 180506(R) (2003)).

  • Gauge invariant response functions in Algebraic Fermi liquids
    M. Franz, T. Pereg-Barnea, D.E. Sheehy and Z. Tesanovic (cond-mat/0211119 PRB 68, 024508 (2003) )

  • Coexistence of bulk antiferromagnetic order and superconductivity in the QED3 theory of copper oxides
    T. Pereg-Barnea and M. Franz (cond-mat/0209301 PRB 67 060503(R)(2003)).














    • Andereev edge states on a triangular lattice with f-wave superconductiveit. Presented in real space along the semi-infinite direction and in k-space along the infinite direction.


    Presentations
  • The gadolinium project (power point) - This presentation is based on my master's thesis and was presented on several occasions (CIAR superconductivity summer school, Sherbrook, May 2001; Strongly correlated electron systems winter school, Jerusalem, December 2001)

  • The gadolinium project - Poster (power point) a short visual summary of the MSc work (PCAMM - SFU December 2001, Jerusalem December 2001)

  • AC conductivity in QED3 (power point) - This is not the whole story. The work was presented before completion (APS, Indianapolis, March 2002; CIAR superconductivity summer school, McMaster, May 2002) More interesting and complete work (including vertex corrections that change the picture entirely) can be found in the above paper (2)

  • Coexistence of Antiferromagnetism and superconductivity in QED3 (pdf)
    (SFU-UBC monthly meeting, October 2002, APS march 2003)

  • High Tc superconductivity and the QED3 theory of the cuprates(power point) (Boulder summer-school, July 2003)

  • Interference of quasiparticle s and theories of the high Tc superconductors (pdf) (Hebrew university, December 2003)
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