activity
20122026
most citedElectron motion in a Holstein molecular chain in an electric field

47 citations · 365 across the 44 of their papers we have counts for

collaborators

45 papers

physics.bio-ph2026

On the effect of force on DNA in the Peyrard-Bishop-Dauxois model

I. V. Likhachev, V. D. Lakhno

This paper presents a numerical study of the dynamics of DNA double helix breakage under the influence of external forces using the Peyrard-Bishop-Dauxois (PBD) model. The PBD mode…

cond-mat.other2025

On the comparison of models and experiments in the study of DNA open states: the problem of degrees of freedom

Alexey S. Shigaev, Victor D. Lakhno

Simple mechanical models of DNA play an important role in studying the dynamics of its open states. The main requirement when developing a DNA model is the correct selection of its…

cond-mat.stat-mech2023★ 3 cited

On the thermodynamics of DNA in the Peyrard-Bishop-Dauxois model

Ilya V. Likhachev, Alexey S. Shigaev, Victor D. Lakhno

Based on the direct method of molecular dynamics, the temperature dependence of energy, partition function, entropy and free energy, describing the first-order phase transition, is…

cond-mat.stat-mech2023

Comparison of different thermostats in the Holstein model

N. Fialko, M. Olshevets, V. D. Lakhno

When modeling charge dynamics in a chain of N sites at a temperature T, a Langevin thermostat and a Hamiltonian system, i.e., a chain heated to a given temperature before charge is…

cond-mat.mes-hall2021

Translation-Invariant Excitons in a Phonon Field

Victor D. Lakhno

Large-radius excitons in polar crystals are considered. It is shown that translation invariant description of excitons interacting with a phonon field leads to a nonzero contributi…

cond-mat.supr-con2021★ 5 cited

Translation Invariant Bipolarons and Charge Density Waves in High-Temperature Superconductors

Victor Lakhno

A correlation is established between the theories of superconductivity based on the concept of charge density waves (CDW) and the translation invariant (TI) bipolaron theory. It is…

cond-mat.supr-con2021★ 2 cited

Pseudogap isotope effect as a probe of bipolaron mechanism in high temperature superconductors

Victor Lakhno

A theory of a pseudogap phase of high-temperature superconductors where current carriers are translation invariant bipolarons is developed. A temperature T* of a transition from a…

cond-mat.supr-con2020★ 1 cited

Isotope effect in the translation-invariant bipolaron theory of high-temperature superconductivity

Victor D. Lakhno

It is shown that the translation-invariant bipolaron theory of superconductivity can explain the dependence of the isotope coefficient in high-temperature superconductors on the cr…

cond-mat.supr-con2020★ 11 cited

Translational-invariant bipolarons and superconductivity

Victor D. Lakhno

A translation-invariant (TI) bipolaron theory of superconductivity based, like Bardeen-Cooper-Schrieffer theory, on Fröhlich Hamiltonian is presented. Here the role of Cooper pairs…

cond-mat.supr-con2019★ 3 cited

New method of soft modes investigation by Little-Parks effect

Victor D. Lakhno

As is known, Little-Parks effect concerned with oscillations of the critical temperature of a superconducting transition was one of the first effects which suggested the existence…

physics.gen-ph2019

The way from high to room temperature superconductivity

Victor D. Lakhno

Presently, the main method of producing new high-temperature superconductors is chemical when record temperatures of the superconducting transition are reached due to changes…

cond-mat.soft2018★ 11 cited

Investigation of DNA denaturation in Peyrard-Bishop-Dauxois model by molecular dynamics method

I. V. Likhachev, V. D. Lakhno

The phase transition of duplex into the denaturated state is studied in the Peyrard-Bishop-Dauxois model by the method of direct molecular-dynamical modeling.…

cond-mat.supr-con2018

Translation Invariant Bipolaron Theory of Superconductivity and Spectroscopic Experiments

Victor Lakhno

The explanation of the nature of superconducting gap in high temperature superconductors (HTSC) is a fundamental task which solution can lead to the understanding of superconductin…

cond-mat.supr-con2018★ 21 cited

Superconducting properties of a nonideal bipolaron gas

Victor Lakhno

The properties of a Bose gas of translation-invariant (TI) bipolarons analogous to Cooper pairs are considered. As in the BCS theory, the description of a TI-bipolaron gas is based…

cond-mat.other2017

New insight into the dynamics of rhodopsin photoisomerization from one-dimensional quantum-classical modeling

Alexey S. Shigaev, Tatiana B. Feldman, Victor A. Nadtochenko +2

Characterization of the primary events involved in the photoisomerization of the rhodopsin retinal chromophore was approximated by a minimum one-dimensional quantum-cla…

cond-mat.supr-con2017★ 6 cited

Peculiarities in the concentration dependence of the superconducting transition temperature in the bipolaron theory of Cooper pairs

Victor D. Lakhno

It is shown that the bipolaron theory of Cooper pairs suggests that there is a possibility for a superconducting phase to exist at low and high levels of doping and be absent at in…

cond-mat.str-el2016★ 1 cited

Cooper pairs and bipolarons

Victor D. Lakhno

It is shown that Cooper pairs are a solution of the bipolaron problem for model Fröhlich Hamiltonian. The total energy of a pair for the initial Fröhlich Hamiltonian is found. Diff…

cond-mat.other2016★ 19 cited

A translation invariant bipolaron in the Holstein model and superconductivity

Victor Lakhno

Large-radius translation invariant (TI) bipolarons are considered in a one-dimensional Holstein molecular chain. Criteria of their stability are obtained. The energy of a translati…

physics.comp-ph2015★ 5 cited

Temperature dependence of electronic heat capacity in Holstein model

N. S. Fialko, E. V. Sobolev, V. D. Lakhno

The dynamics of charge migration was modeled to calculate temperature dependencies of its thermodynamic equilibrium values such as energy and electronic heat capacity in homogeneou…

cond-mat.other2015

On the term of the 4-th order with respect to the field operators in the translation-invariant polaron theory

Victor D. Lakhno

It is shown that 4-th order term in the translation-invariant polaron theory vanishes.

cond-mat.other2015★ 6 cited

Phonon interaction of electron in the translation-invariant strong-coupling theory

Victor D. Lakhno

A dependence of phonon interaction on the interelectronic distance is found for a translation-invariant (TI) strong-coupling bipolaron. It is shown that the charge induced by the e…

cond-mat.supr-con2015★ 9 cited

Superconducting properties of 3D low-density TI-bipolaron gas in magnetic field

Victor D. Lakhno

Consideration is given to thermodynamical properties of a three-dimensional Bose-condensate of translation-invariant bipolarons (TI-bipolarons) in magnetic field. The critical temp…

cond-mat.supr-con2015★ 11 cited

Superconducting properties of 3D low-density TI-bipolaron gas

V. D. Lakhno

Consideration is given to thermodynamical properties of a three-dimensional Bose-condensate of translation-invariant bipolarons (TI-bipolarons). The critical temperature of transit…

cond-mat.other2015★ 1 cited

Continuum Model of the One-Dimensional Holstein Bipolaron in DNA

N. I. Kashirina, V. D. Lakhno

The work is devoted to obtaining the 1D bipolaron functional by Holstein method for the continuum approximation. We analyzed the effect of electron correlations associated with the…