1. Negative capacitance in ferroelectrics caused by domain structures. The unconventional effect of negative capacitance in ferroelectrics was measured and explained by the emergence of domain structures [Nature, 534, 524 ( 2016), Nature Rev. Materials, 4, 243 (2019), Comm. Physics (Nature Publ.) 2, 22 (2019)], npj Computational Materials, 8, 52 (2022)
2. Dirac Fermions in Graphite: precursor of the Nobel Prize 2010. We were the first who distinctly demonstrated the existence of Dirac Fermions in graphite [Phys. Rev. Lett. 93, 166402 (2004)] and systematically studied their properties, including the integer [Phys. Rev. Lett. 97, 256801 (2006)] and fractional [Phys. Rev. Lett.. 103, 116802 (2009)]. Quantum Hall effects. This discovery, done in 2004, was a precursor of the Nobel Prize 2010.
3. Ferroelectric heterostructures: domains and switching phenomena Theory of emergent domain structures [Phys. Rev. Lett. 94, 047601 (2005), Phys. Rev. Lett. 102, 147601 (2009)] and dynamical switching effects in strained heterostructures [Phys. Rev. B. 91, 144110 (2015)].
4. Topology of confined ferroelectrics: vortices, skyrmions, hopfions, bubbles and entangled states Confinement of ferroelectric domains by depolarization field results in the unusual topological excitations, having the fundamental nature in polarization texture [Nano Lett. 14, 6931 (2014), Phys. Rev. B. 90, 024102 (2014), Scientific. Rep. 7, 42770 (2017). Nature Comm., in print (2020) [arXiv:1907.03866], Scientific. Rep. under review (2020) [arXiv:2001.01790], Adv. Functional Materials, doi: 10.1002/adfm.202000284 (2020)
5. Vortex-droplet states in superconducting nanoparticles Experimental discovery and theoretical explication of the unusual confined vortex-droplet states in superconducting nanoparticles of Lead [Nature Phys., 11, 21 (2015)].
6. Invention of the phase-resolved Raman spectrometer We propose the new principle of phase-resolved Raman spectrometry that substantially extends the frames of the method [US-Patent, US 8582097, 2013].
7. Theory of critical superconductors, intermediate between type I and type II The regular theory of crossover of superconductors from type I to type II was developed [Phys. Rev. B. 63, 174504 (2001), Phys. Rev. B. 65, 224504 (2002)]. The construction of theory of this regime was considered as a challenge for a future in the seminal works of Landau, Ginzburg, and Abrikosov (Nobel Prize 2003)
8. Light scattering in Quartz - the strongest in Nature Modulated phase of “Elongated triangles” (ELT) was discovered in quartz at structural alpha-beta transition at T = 847 K. It solves the 60-years problem of the anomalous light scattering which is the strongest scattering known in crystalline materials. Since its discovery in 1956, this question was the subject of many controversies and is frequently erroneously treated in the classical books as manifestation of the critical opalescence [Pisma ZhETP 64, 376 (1996)].
9. Domains states in strained VO2 nanorods at Metal-Insulator phase transition We discovered that the strained samples of VO2 demonstrate the unusual multiple domain states in which the new phases, not accessible in bulk were observed [Nano Lett. 10, 2003 (2010), Nano Lett. 10, 4409 (2010)].
10. Theory of quantum Nernst oscillations The complete theory of Nernst-Ettingshausen oscillations in semiclassically strong magnetic field in semimetals was constructed and applied for explication of the mysteriously giant effect, observed in graphite, graphene and bismuth [Phys. Rev. Lett. 107, 016601 (2011)].