Department of Theoretical Physics,
B. Verkin Institute for Low Temperature Physics & Engineering
of the National Academy of Sciences of Ukraine
47 Nauky Ave., Kharkiv, 61103, Ukraine

laptev@ilt.kharkov.ua

Prizes and Distinctions:

• Scholarship of the President of Ukraine (2018-2019)
• Scholarship of National Academy of Sciences of Ukraine (2015-2017)

Languages:

English (B1), Russian (native), Ukrainian (native)

Education:

Field of Scientific Interest:

Main Achievements:

A series of decorated Ising chains were studied using the Kramers–Wanier transfer matrix method. Exact expressions for the thermodynamic characteristics, including the ground state characteristics, were obtained. Several simulation chains with different signs and absolute values of the exchange constants for the nearest and next-nearest neighbors were considered. Magnetization curves were calculated for these models. Critical values of magnetic fields and the corresponding magnetization plateau parameters were determined. Analytical expressions for the ground state entropy were obtained for chains with different interaction constants. Dependences of the number of states with minimum energy (degeneracy of the ground state) as a function of the number of particles were found. It was shown that these dependences are expressed in terms of known numerical sequences, namely the Lucas numbers and the Pell numbers, which in the limit of a large number of particles are proportional to the powers of the golden and silver sections. Thus, the ground state entropy (per particle) of the systems under consideration can be described in terms of these intersections and is therefore nonzero.

Professional Experience:

Publications:

Number of papers: 20 (in the refereed journals - 8)

Selected Publications for the last 10 years:

1. O.O. Kryvchikov, D.V. Laptiev, The Exotic Ground State of the Decorated Honeycomb Lattice. Fiz. Nizk. Temp. 2023, 49, 1580–1584.
2. Laptiev D. V., Kryvchikov O. O., Savin Y. V., Slavin V. V. Magnetic Properties of the Frustrated Ising Chain. Fiz. Nizk. Temp. 2023, 50, 168–176.
3. V. Dubinko, D.V. Laptiev , D. Terentyev, S.V. Dmitriev, K. Irwin, Symmetry transformation in Pd quasicrystals upon heating and hydrogenation, Computational Materials Science, 177, p.109582, 2020.
4. Dina U. Abdullina, Elena A. Korznikova, Volodymyr I. Dubinko, Denis V. Laptev, Alexey A. Kudreyko, Elvira G. Soboleva , Sergey V. Dmitriev and Kun Zhou, Mechanical Response of Carbon Nanotube Bundle to Lateral Compression, Computation, 8, 27, p. 8020027, 2020.
5. V. Dubinko, D.V. Laptev , D. Terentyev, S.V. Dmitriev, K. Irwin, Assessment of discrete breathers in the metallic hydrides, Computational Materials Science, 158, p.389, 2019.