What's New
Oct, 2017
Nematic skyrmions in odd-parity superconductors

We find that, in odd-parity superconductorsin odd-parity superconductors, the lowest-energy topological excitations are coreless vortices: a bound state of two spatially separated half-quantum vortices... Read more

Jul, 2017
Change of the vortex core structure in two-band superconductors at impurity-scattering-driven $s_\pm/s_{++}$ crossover

We report a nontrivial transition in the core structure of vortices in two-band superconductors as a function of interband impurity scattering... Read more

Oct, 2016
Phase diagram of dirty two-band superconductors and observability of impurity-induced $s+is$ state

This work primarily focuses on the properties and observability of the time-reversal symmetry breaking s+is superconducting states induced by impuriy scattering... Read more

May, 2016
Lattices of double-quanta vortices and chirality inversion in $p_x+ip_y$ superconductors

Magnetization processes of a standard Ginzburg-Landau model for chiral $p$-wave states show lattices of two-quanta vortices... Read more

Jul, 2015
Thermoelectric signatures of time-reversal symmetry breaking states in multiband superconductors

Superconductors with broken time-reversal symmetry have very specific magnetic and electric responses to inhomogeneous heating... Read more

Jul, 2015
Skyrmions and multi-quanta vortices in chiral $p$-wave superconductors

Chiral $p$-wave superconducting state supports two quanta vortices that are always energetically preferred over isolated single quanta vortices... Read more

Mar, 2015
Unconventional thermoelectric effect in superconductors that break time-reversal symmetry

We point out here, that multicomponent superconductors which break time-reversal symmetry, have entirely different thermoelectric properties... Read more

Dec, 2014
Checkerboard order in vortex cores from pair density wave superconductivity

We show that pair density wave order appears in the cores of competing $d$-wave vortices, driving checkerboard charge density wave order in the vortex cores... Read more

Nov, 2014
Irregular patterns and vortex chains due to strong non-pairwise vortex interactions, in superconductors with competing order parameters

We demonstrate there, that multi-body intervortex interactions can be strongly non-pairwise, leading to some unusual vortex ordering patterns in external field... Read more

Oct, 2014
Vortex matter in $\mathrm{U}(1)\times\mathrm{U}(1)\times\mathbb{Z}_2$ phase-separated superconducting condensates

We study the properties of vortex solutions and magnetic response of two-component $\mathrm{U}(1)\times\mathrm{U}(1)\times\mathbb{Z}_2$ superconductors, with phase separation driven by intercomponent density-density interaction... Read more

Mar, 2014
Microscopic prediction of skyrmion lattice state in clean interface superconductors

When an in-plane field is applied to a clean interface superconductor, a Fulde-Ferrell-Larkin-Ovchinnikov (FFLO)-like phase is stabilized. This phase has a $\mathrm{U}(1)\times\mathrm{U}(1)$ symmetry and, in principle, this symmetry allows for flux carrying topological excitations different from Abrikosov vortices... Read more

Mar, 2014
Topological defects in mixtures of superconducting condensates with different charges

We investigate the topological defects in phenomenological models describing mixtures of charged condensates with commensurate electric charges. Such situations are expected to appear for example in liquid metallic deuterium... Read more

I am a postdoctoral fellow in Egor Babaev's group at the Department of Theoretical Physics at KTH-Royal Institute of Technology in Stockholm, Sweden. I graduated from University of Tours, France with a Ph.D. in theoretical physics in 2010. After graduating in high energy physics, I switched to the field of condensed matter physics at Physics Department of the University of Massachusetts at Amherst, MA and the Royal Institute of Technology in Stockholm, Sweden. Currently I focusing on superconductivity, cold atoms and magnetism.

I am interested into vortices, skyrmions and in a broader sense, in all topological defects arising in these contexts.

Research interests

I am interested in studying physical properties of superconductors, superfluids and magnetism. I am generaly interested into solitons and computational physics.

My recent achivements :

• Demonstration of unusual thermoelectric properties can be used to generate electric and magnetic responses by locally heating superconducting candidate materials that break the time-reversal symmetry such as Ba$_{1-x}$K$_x$Fe$_2$As$_2$.
• Prediction that most commonly accepted model for chiral $p$-wave superconducting state in Sr$_2$RuO$_4$ supports two-quanta vortices that are always preferred as compared to isolated single quanta vortices.
• Prediction of a field-induced charge density wave order originating in competing pair density wave and $d$-wave superconducting states.
• Prediction of unconventional magnetic response in interface superconductors with a strong Rashba spin-orbit coupling
• Prediction of experimental signatures of domain wall structures in $s+is$ superconductors.
• Discovery of stable vortons within Witten model. These objects potentially apply to cosmology, QCD and condensed matter physics.
• Prediction of a new skyrmionic phase in $U(1)\times U(1)$ superconductors with dissipationless drag
• Explanation of vortex coalescence in Sr$_2$RuO$_4$
• Prediction of skyrmionic phase in chiral $p$-wave superconductors
• Discovery of a new kind of topological solitons in three-band superconductors with broken time reversal symmetry
• Finding of a new kind of collective modes in three-band superconductors with broken time reversal symmetry
• Finding of a new kind of multibody intervortex forces in multiband superconductors
Featured Work

Variation of the interband phase difference in BTRS three-band superconductors induced by a hotspot created e.g. by a laser pulse.

A two-quanta (coreless) vortex also termed as skyrmion in a chiral $p$-wave superconductor. It is viewed as the pseudo-spin texture $n$ defined as the projection of superconducting degrees of freedom onto spin-1/2 Pauli matrices.

Checkerboard pattern of a charge-density-wave order induced in the core of a vortex in the $d$-wave order parameter. We show that a pair-density-wave order appears in the cores of $d$-wave vortices, driving checkerboard charge-density-wave.

A chiral skyrmion in three-band superconductors with broken time reversal symmetry. It is viewed as a texture of a pseudo-spin vector $\bf n=\frac{\Psi^\dagger\bf\sigma\Psi}{\Psi^\dagger\Psi}$ where the superconducting condensates are projected on spin-1 Pauli matrices.