Eduard Gorbar




Eduard Gorbar

POSITION

Professor of Chair of Quantum Field Theory and Astroparticle Physics

 

WORK EXPERIENCE

1994 – 1998

Research Fellow

Bogolyubov Institute for Theoretical Physics, National Academy of Sciences of Ukraine, Kyiv (Ukraine)

1998 – 2000

Postdoctoral Research Fellow

Instituto de Física Teórica, Universidade Estadual Paulista, São Paulo (Brazil)

2001 – 2003

Visiting Scientist

Departamento de Física, Universidade Federal de Juiz de Fora, Juiz de Fora (Brazil)

2003 – 2004

Research Fellow

Bogolyubov Institute for Theoretical Physics, National Academy of Sciences of Ukraine, Kyiv (Ukraine)

2004 – 2006

Research Associate

Department of Applied Mathematics, Western Science Center, University of Western Ontario, London (Canada)

2006 – 2011

Senior Research Fellow

Bogolyubov Institute for Theoretical Physics, National Academy of Sciences of Ukraine, Kyiv (Ukraine)

2011 – Present

Professor

Physics Faculty, Taras Shevchenko National University of Kyiv, Kyiv (Ukraine)

 

EDUCATION AND TRAINING

1985 – 1990

Master degree in Theoretical Physics

Taras Shevchenko Kyiv State University, Kyiv (Ukraine)

1993

Ph.D. in Theoretical Physics

Bogolyubov Institute for Theoretical Physics, National Academy of Sciences of Ukraine, Kyiv (Ukraine)

2010

Doctor of Physics and Mathematics

Bogolyubov Institute for Theoretical Physics, National Academy of Sciences of Ukraine, Kyiv (Ukraine)

Dirac and Weyl semimetals, macroscopic quantum systems

Research Fields:
Physics

Previous and Current Research

By studying the transport properties of the Fermi arc surface states in Weyl semimetals, it was proved that the Fermi arc transport is dissipative due to the scattering between the surface and bulk states.

It is shown that the correct definition of the electric current in the chiral kinetic theory for Weyl materials should include the Chern-Simons contribution that makes the theory consistent with the local conservation of the electric charge in electromagnetic and strain-induced pseudoelectromagnetic fields.

The consistent chiral kinetic theory was used to formulate the consistent hydrodynamics for electron fluid in topological semimetals.

A novel type of current instabilities, the entropy wave instability, was found in systems with relativistic-like dispersion relation.

By studying the evolution of spinning dark matter cloud in the state of the Bose-Einstein condensate with typical galactic halo mass and radius, it was shown that that while all multi-charged vortex states are unstable, a single-charged vortex soliton is extremely robust and survives during the lifetime of the Universe.

Figure 1. Low-energy spectrum of a Weyl semimetal with two Weyl nodes of opposite chiralities (left panel) and schematic illustration of closed orbits in mixed coordinate-momentum space composed of Fermi arcs and bulk states (right panel).


Figure 2. Dynamics of a stable vortex structure in the galactic dark matter in the state of the Bose-Einstein condensate. Snapshots of the 3D isosurface of the condensate density (upper row) and the normalized condensate density in the xy plane (lower row).

Future Projects and Goals

  • Responses of Weyl and Dirac semimetals to strain-induced gauge fields and electromagnetic fields.

  • Electron kinetics and hydrodynamics in Weyl and Dirac semimetals.

  • Dynamics and properties of galactic dark matter in the state of the superfluid self-gravitating Bose-Einstein condensate with nonzero angular momentum.

Methodological and Technical Expertise

  • Green’s function method in condensed matter theory;

  • Schwinger-Dyson equations for the fermion propagator and analytic determination of their solutions;

  • the Bethe-Salpeter equation for bound states in quantum field theories;

  • heat kernel expansion for differential operators and the Seeley-Gilkey coefficients;

  • dynamical symmetry breaking, effective action for order parameters;

  • metal-insulator transition in planar systems;

  • magnetic catalysis of gap generation;

  • the chiral magnetic effect, chiral separation effect;

  • electronic and transport properties of graphene;

  • Dirac and Weyl semimetals, topologically nontrivial Fermi arc surface states in Weyl semimetals;

  • chiral kinetic theory;

  • generation and evolution of magnetic fields in the early Universe;

  • electronic properties of the dice model with flat energy band;

  • Gross-Pitaevskii equation for the Bose-Einstein condensate;

  • numerical methods of solution of ordinary and partial differential equations.

 

Team:

Dr. Sci. Eduard V. Gorbar

Dr. Sci. Oleksandr I. Yakimenko

Dr. Sci. Andrii I. Momot

Ph.D. Olena M. Teslyk

Ph.D. Artem V. Chumachenko

Selected Publications

1. E.V. Gorbar, V.A. Miransky, and I.A. Shovkovy, P.O. Sukhachov, Electronic properties of Dirac and Weyl semimetals, World Scientific, 504 pages, 2021.

2. P. O. SukhachovE. V. Gorbar, and I. A. Shovkovy, Entropy wave instability in Dirac and Weyl semimetals, Phys. Rev. Lett. 127 (2021) 176602.

3. Y.O. Nikolaieva, A.O. Olashyn, Y.I. Kuriatnikov, S.I. Vilchynskii, and A.I. Yakimenko, Stable vortex in Bose-Einstein condensate dark matter, Low Temp. Phys. 47 (2021) 684.

4. I. Yatsuta, B. Malomed, and A. Yakimenko, Acoustic analog of Hawking radiation in quantized circular superflows of Bose-Einstein condensates, Phys. Rev. Research (2020) 043065.

5. O.I. Matsyshyn, A.I. Yakimenko, E.V. Gorbar, S.I. Vilchinskii, and V.V. Cheianov,  p-wave superfluidity in mixtures of ultracold Fermi and spinor Bose gases, Phys. Rev. A 98 (2018) 043620.

6. E.V. Gorbar, V.A. Miransky, I.A. Shovkovy, and P.O. Sukhachov, Non-local transport in Weyl semimetals in the hydrodynamic regime, Phys. Rev. B 98 (2018) 035121.

7. E.V. Gorbar, V.A. Miransky, I.A. Shovkovy, and P.O. Sukhachov, Consistent chiral kinetic theory in Weyl materials: chiral magnetic plasmons, Phys. Rev. Lett. 118 (2017) 127601.

8. E.V. Gorbar, V.A. Miransky, I.A. Shovkovy, and P.O. Sukhachov, Origin of dissipative Fermi arc transport in Weyl semimetals, Phys. Rev. B 93 (2016) 235127.

9. A.I. Yakimenko, K.O. Isaieva, S.I. Vilchinskii, and E.A. Ostrovskaya, Vortex excitation in a stirred toroidal Bose-Einstein condensate, Phys. Rev. A 9 (2015) 023607.

10. A.I. Yakimenko, Y.M. Bidasyuk, M. Weyrauch, Y.I. Kuriatnikov, and S.I. Vilchinskii, Vortices in a toroidal Bose-Einstein condensate with a rotating weak link, Phys. Rev. A 91 (2015) 033607.

 https://www.scopus.com/authid/detail.uri?authorId=6602493497

Contacts

Prof. E.V. Gorbar

Physics faculty

Taras Shevchenko National University of Kyiv

64/13 Volodymyrska Street

01601 Kyiv

Ukraine

Phone: 38 (044) 521-45-77

e-mail: gorbar@knu.ua