Maksymenko Mykola

# Maksymenko Mykola

My research focuses on exotic states and phases which could occur in both classical and quantum many-body systems. These range from unconventional charge or spin arrangements in geometrically frustrated lattice structures to new topological and many-body phases in systems subjected to periodic driving, disorder or dissipation. Detailed understanding of these problems can provide answers to more fundamental questions such as: *(1) what is the role of interactions in highly frustrated systems with strong kinetic constraints and what possible new states of matter and orderings could be obtained there, (2) how to classify novel topological phases in periodically driven systems, (3) how many-body localisation transition manifests itself in a system controllably coupled to environment, (4) what new non-equilibrium steady states can we achieve by a suitable design of the bath.*

Most of my studies require the application of modern numerical techniques and therefore another aspect of my interests concerns a development of such modern computational toolbox allowing to quickly address and probe new open problems.

**The topics of my interests include:**

- New topological phases in periodically driven (Floquet) systems: design and classification

- Many-body localisation: a quest to higher dimensionality and coupling to the environment

- Constrained many-body systems and low-dimensional quantum magnetism

- Neural Network physics

**Computational ****toolbox****:**

- Tensor networks based methods

- Floquet codes with a KWANT toolbox.

- Advanced Exact Diagonalization (ED) approaches.

- Massively parallel Monte-Carlo methods.

**Publications:**

12. Mykola Maksymenko, Kirill Shtengel, and Roderich Moessner, Persistence of the flat band in a kagome magnet with dipolar interactions, arXiv: 1705.04053 (2017)

11. M. H. Fisher, M. Maksymenko and E. Altman, Dynamics of a many-body-localized system coupled to a bath Physical Review Letters 116, 160401 (2016)

10. I. C. Fulga and M. Maksymenko, Scattering theory of Floquet topological insulators

Physical Review B 93, 075405 (2016)

9. M. Ozerov, M. Maksymenko, J. Wosnitza, A. Honecker, C.P. Landee, M.M. Turnbull, S. C. Furuya, T.Giamarchi, and S.A. Zvyagin, ESR modes in a Strong-Leg Ladder in the Tomonaga-Luttinger Liquid Phase

Physical Review B 92 (24), 241113 (2015)

8. M. Maksymenko, R. Chandra and R. Moessner, Classical dipoles on the kagome lattice

Physical Review B 91, 184407 (2015)

7. (Invited Review) O.Derzhko, J. Richter and M. Maksymenko, Strongly correlated flat-band systems: The route from Heisenberg spins to Hubbard electrons, International Journal of Modern Physics. B 29, 1530007 (2015)

6. M. Maksymenko, R. Moessner and K. Shtengel, Reversible first-order transition in Pauli percolation

Physical Review E 91, 062103 (2015)

5. M. Maksymenko, A. Honecker, R. Moessner, J. Richter, and O. Derzhko, Flat-band ferromagnetism as a Pauli-correlated percolation, Physical Review Letters 109, 096404 (2012)

4. M. Maksymenko, O. Derzhko and J. Richter, Localized states on triangular traps and low-temperature properties of the antiferromagnetic Heisenberg and repulsive Hubbard models

European Physical Journal B 84, 397-408 (2011)

3. M. Maksymenko, O. Derzhko, J. Richter Low-temperature properties of quantum Heisenberg antiferromagnet on some one-dimensional lattices containing equilateral triangles

Acta Physica Polonica A, 119, 860 (2011)

2. O. Derzhko, M. Maksymenko, J. Richter, A. Honecker, and R. Moessner, Magnetic properties of the Hubbard model on kagome stripes, Acta Physica Polonica A,118 (2010) 736-737

1. O. Derzhko, J. Richter, A. Honecker, M. Maksymenko, and R. Moessner, Low-temperature properties of the Hubbard model on highly frustrated one-dimensional lattices. Physical Review B, 81 14421 (2010)

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