>> Department of Theoretical Physics

Faculty of Fundamental Problems of Technology

Wrocław University of Science and Technology

>> Group data repository: https://bitbucket.org/herbrychjacek/corrwro

>> Maksymilian Środa*Transport properties of multi-orbital models*(PhD student)

>> **Undergraduate research project**

Błażej Zdobylak *Particle expansion in tight-binding quantum chaotic system*

Agnieszka Jażdżewska *Haldane phase in two-orbital Hubbard model*

Agnieszka Jażdżewska *Leaders in the models of flocking*

>> **Past**

Bartosz Grygielski *Spin textures induced by Majorana fermions*(2021/2022 diploma thesis)

Rafał Świętek *Exact diagonalization studies of generalized Kondo-Heisenberg model*(2020/2021 master thesis)

Łukasz Iwanek *Many-body mobility edge in random-exchange systems*(2020/2021 master thesis)

Łukasz Iwanek *Many-body localization of the domain walls*(2019/2020 diploma thesis)

**Strongly correlated multi-orbital systems**

Past experience in strongly correlated quantum systems, especially Cu-based materials, showed that the high-temperature superconductivity is closely connected to a bad-metal state and a nearby antiferromagnetic order. As such, there has been a considerable effort devoted to the understanding of the electron correlation effects and the associated magnetism. On the other hand, the multi-orbital system properties, relevant for Fe-based materials, are much less explored. Iron-based superconductors display various phases originating in the multi-orbital nature of iron itself, and as a consequence, in the competition between electronic, orbital, and spin degrees of freedom. Prominent among these novel effects is the orbital-selective Mott phase (OSMP), where electronic correlations cause a unique mixture of metallic and insulating behaviour.

Our group investigates (primarily using numerical techniques) static and dynamic properties of multi-orbital systems with the emphasis on its magnetic properties and the role of Hund’s coupling. One can expect that the competition of the latter and Coulomb interaction can lead to a novel type of frustrated magnetism. Furthermore, a nontrivial magnetic order within OSMP could lead to nontrivial topological effects.

OPUS 18 2019/35/B/ST3/01207 (NCN)

Image source: Proc. Natl Acad. Sci. USA **117**, 16226 (2020)

**Transport properties in low-dimensional quantum systems**

Transport in many-body systems of interacting fermions established several novel - entirely quantum - aspects going well beyond usual weak-scattering or Boltzmann-type approaches to transport. Such behaviour is especially pronounced in the system with reduced dimensionality (e.g., in 1D chains and quasi-1D ladders). Furthermore, due to the possibility of accurate treatment on the latter, the low-dimensional systems have become a playground for condensed-matter physicists to test various theoretical scenarios. A prominent fundamental model and an experimentally relevant example of such a phenomenon is the one-dimensional antiferromagnetic Heisenberg model describing the low-dimensional quantum magnets even at high temperatures.

In our group, we are interested in various transport properties of the low-dimensional quantum system. Our study focuses, among others, on the effects of the integrability of the model, many-body localization, the physics of random interaction exchange, non-equilibrium properties, and linear response answer of the systems to experimentally relevant perturbations.

Image source: Ann. Phys. (Berlin) **529**, 1600362 (2017)

**Flocking of multi-agent dynamical systems**

I recently got interested in the classical multi-agent dynamical systems relevant to the collective decision-making in the biological systems, e.g., the transfer of long-range information in birds' flocks. I'm interested in the extension of the so-called *inertia spin model* to leaderless flocking.

Image source: Agnieszka Jażdżewska

>> *The National Science Centre (NCN)**Magnetic properties of strongly correlated multi-orbital systems*

OPUS 18 2019/35/B/ST3/01207

Principal Investigator

Wrocław University of Science and Technology, Poland (2020-2023)

>> *Polish National Agency for Academic Exchange (NAWA)**Polish Returns*

PPN/PPO/2018/1/00035

Principal Investigator

Wrocław University of Science and Technology, Poland (2019-2022)

>> *US Department of Energy (DOE)**Office of Basic Energy Sciences (BES)**Materials Sciences and Engineering Division*

Postdoctoral fellow supported by Prof. E. Dagotto's grant

University of Tennessee, USA (2016-2019)

>> **EU Seventh Framework Programme (FP7)**
*Crete Center for Quantum Complexity and Nanotechnology*

EU FP7 REGPOT-2012-2013-1 316165

Research scholar supported by Prof. X. Zotos's grant

University of Crete, Greece (2013-2016)

>> **EU Marie Sklodowska-Curie Action**
*Low-dimensional quantum magnets for thermal management*

EU FP7 PEOPLE-ITN-2008 238475

Young researcher supported by Prof. P. Prelovšek's grant

Jožef Stefan Institute, Slovenia (2010-2013)

(-) **The spin-1/2 XXZ chain coupled to two Lindblad baths: Constructing nonequilibrium steady states from equilibrium correlation functions**

T. Heitmann, J. Richter, F. Jin, S. Nandy, Z. Lenarčič, __J. Herbrych__, K. Michielsen, H. De Raedt, J. Gemmer, and R. Steinigeweg

arXiv: cond-mat/2303.00430

(-) **Slow diffusion and Thouless localization criterion in modulated spin chains**

M. Mierzejewski, __J. Herbrych__, P. Prelovšek

arXiv: cond-mat/2302.03325

(-) **Spin diffusion in perturbed isotropic Heisenberg spin chain**

S. Nandy, Z. Lenarčič, E. Ilievski, M. Mierzejewski, __J. Herbrych__, P. Prelovšek

arXiv: cond-mat/2211.17181

(-) **Hund bands in spectra of multiorbital systems**

M. Środa, J. Mravlje, G. Alvarez, E. Dagotto, and __J. Herbrych__

arXiv: cond-mat/2210.11209

(-) **Probing real-time broadening of nonequilibrium density profiles via a local coupling to a Lindblad bath**

T. Heitmann, J. Richter, __J. Herbrych__, J. Gemmer, and R. Steinigeweg

arXiv: cond-mat/2210.10528

(43) **Quasiballistic transport in long-range anisotropic Heisenberg model**

M. Mierzejewski, J. Wronowicz, J. Pawłowski, and __J. Herbrych__

Phys. Rev. B **107**, 045134 (2023)
&arXiv: cond-mat/2206.05960

(42) **From dissipationless to normal diffusion in easy-axis Heisenberg spin chain**

P. Prelovšek, S. Nandy, Z. Lenarčič, M. Mierzejewski, and __J. Herbrych__

Phys. Rev. B **106**, 245104 (2022)
&arXiv: cond-mat/2205.11891

(41) **Multiple relaxation times in perturbed XXZ chain**

M. Mierzejewski, J. Pawłowski, P. Prelovšek, and __J. Herbrych__

SciPost Phys. **13**, 013 (2022)
&arXiv: cond-mat/2112.08158

(40) **High-pressure inelastic neutron scattering study of the S=1 spin chain [Ni(HF _{2})(3-Clpyridine)_{4}]BF_{4}**

D. M. Pajerowski, A. P. Podlesnyak,

Phys. Rev. B

(39) **Relaxation at different length-scales in models of many-body localization**
__J. Herbrych__, M. Mierzejewski, and P. Prelovšek

Phys. Rev. B **105**, L081105 (2022)
&arXiv: cond-mat/2110.15635

(38) **Prediction of orbital selective Mott phases and block magnetic states in the quasi-one-dimensional iron chain Ce _{2}O_{2}FeSe_{2} under hole and electron doping**

L.-F. Lin, Y. Zhang, G. Alvarez,

Phys. Rev. B

(37) **Magnetization dynamics fingerprints of an excitonic condensate t _{2g}^{4} magnet**

N. Kaushal,

Phys. Rev. B

(36) **Coexistence of diffusive and ballistic transport in integrable quantum lattice models**

P. Prelovšek, M. Mierzejewski, and __J. Herbrych__

Phys. Rev. B **104**, 115163 (2021)
&arXiv: cond-mat/2107.02454

(35) **Quantum magnetism of iron-based ladders: blocks, spirals, and spin flux**

M. Środa, E. Dagotto, and __J. Herbrych__

Phys. Rev. B **104**, 045128 (2021)
&arXiv: cond-mat/2105.04391

(34) **Diffusion in the Anderson model in higher dimensions**

P. Prelovšek and __J. Herbrych__

Phys. Rev. B **103**, L241107 (2021)
&arXiv: cond-mat/2104.07801

(33) **Ballistic transport in integrable lattice models with degenerate spectra**

M. Mierzejewski, __J. Herbrych__, and P. Prelovšek

Phys. Rev. B **103**, 235115 (2021)
&arXiv: cond-mat/2102.07467

(32) **Interaction-induced topological phase transition and Majorana edge states in low-dimensional orbital-selective Mott insulators**
__J. Herbrych__, M. Środa, G. Alvarez, M. Mierzejewski, and E. Dagotto

Nat. Commun. **12**, 2955 (2021)
&arXiv: cond-mat/2011.05646

(31) **Resistivity and its fluctuations in disordered many-body systems: from chains to planes**

M. Mierzejewski, M. Środa, __J. Herbrych__, and P. Prelovšek

Phys. Rev. B **102**, 161111(R) (2020)
&arXiv: cond-mat/2003.00495

(30) **Block orbital-selective Mott insulators: a spin excitation analysis**
__J. Herbrych__, G. Alvarez, A. Moreo, and E. Dagotto

Phys. Rev. B **102**, 115134 (2020)
&arXiv: cond-mat/2006.09495

(29) **Prediction of exotic magnetic states in the alkali metal quasi-one-dimensional iron selenide compound Na _{2}FeSe_{2}**

B. Pandey, L.-F. Lin, R. Soni, N. Kaushal,

Phys. Rev. B

(28) **Block-spiral magnetism: An exotic type of frustrated order**
__J. Herbrych__, J. Heverhagen, G. Alvarez, M. Daghofer, A. Moreo, and E. Dagotto

Proc. Natl. Acad. Sci. USA **117**, 16226 (2020)
&arXiv: cond-mat/1911.12248

(27) **Vanishing Wilson ratio as the hallmark of quantum spin-liquid models**

P. Prelovšek, K. Morita, T. Tohyama, and __J. Herbrych__

Phys. Rev. Research **2**, 023024 (2020)
&arXiv: cond-mat/1912.00876

(26) **Inelastic neutron scattering study of the anisotropic S=1 spin chain [Ni(HF _{2})(3-Clpyridine)_{4}]BF_{4}**

D. M. Pajerowski, J. L. Manson,

Phys. Rev. B

(25) **Charge-density-wave melting in the one-dimensional Holstein model**

J. Stolpp, __J. Herbrych__, F. Dorfner, E. Dagotto, and F. Heidrich-Meisner

Phys. Rev. B **101**, 035134 (2020)
&arXiv: cond-mat/1911.01718

(24) **Novel magnetic block states in low-dimensional iron-based superconductors**
__J. Herbrych__, J. Heverhagen, N. D. Patel, G. Alvarez, M. Daghofer, A. Moreo, and E. Dagotto

Phys. Rev. Lett. **123**, 027203 (2019)
&arXiv: cond-mat/1812.00325

(23) **Magnetization and energy dynamics in spin ladders: Evidence of diffusion in time, frequency, position, and momentum**

J. Richter, F. Jin, L. Knipschild, __J. Herbrych__, H. De Raedt, K. Michielsen, J. Gemmer, and R. Steinigeweg

Phys. Rev. B **99**, 144422 (2019)
&arXiv: cond-mat/1811.02806

(22) **Sudden removal of a static force in a disordered system: Induced dynamics, thermalization, and transport**

J. Richter, __J. Herbrych__, and R. Steinigeweg

Phys. Rev. B **98**, 134302 (2018)
&arXiv: cond-mat/1808.00497

(21) **Non-equilibrium mass transport in the Fermi-Hubbard model**

S. Scherg, T. Kohlert, __J. Herbrych__, J. Stolpp, P. Bordia, U. Schneider, F. Heidrich-Meisner, I. Bloch, and M. Aidelsburger

Phys. Rev. Lett. **121**, 130402 (2018)
&arXiv: cond-mat/1805.10990

(20) **Spin dynamics of the block orbital-selective Mott phase**
__J. Herbrych__, N. Kaushal, A. Nocera, G. Alvarez, A. Moreo, and E. Dagotto

Nat. Commun. **9**, 3736 (2018)
&arXiv: cond-mat/1804.01959

(19) **Density-matrix renormalization group study of a three-orbital Hubbard model with spin-orbit coupling in one dimension**

N. Kaushal, __J. Herbrych__, A. Nocera, G. Alvarez, A. Moreo, F. A. Reboredo, and E. Dagotto

Phys. Rev. B **96**, 155111 (2017)
&arXiv: cond-mat/1707.04313

(18) **Efficiency of fermionic quantum distillation**
__J. Herbrych__, A. E. Feiguin, E. Dagotto, and F. Heidrich-Meisner

Phys. Rev. A **96**, 033617 (2017)
&arXiv: cond-mat/1707.01792

(17) **Possible bicollinear nematic state with monoclinic lattice distortions in iron telluride compounds**

C. B. Bishop, __J. Herbrych__, E. Dagotto, and A. Moreo

Phys. Rev. B **96**, 035144 (2017)
&arXiv: cond-mat/1704.03495

(16) **Self-consistent approach to many-body localization and subdiffusion**

P. Prelovšek and __J. Herbrych__

Phys. Rev. B **96**, 035130 (2017)
&arXiv: cond-mat/1609.05450

(15) **Dynamics of locally coupled oscillators with next-nearest-neighbor interaction**
__J. Herbrych__, A. G. Chazirakis, N. Christakis, and J. J. P. Veerman

Differ. Equ. & Dyn. Syst. **29**, 487 (2021)
&arXiv: math/1506.07381

(14) **Density correlations and transport in models of many-body localization**

P. Prelovšek, M. Mierzejewski, O. Barišić, and __J. Herbrych__

Ann. Phys. (Berlin) **529**, 1600362 (2017)
&arXiv: cond-mat/1611.03611

(13) **Interaction-induced weakening of localization in few-particle disordered Heisenberg chains**

D. Schmidtke, R. Steinigeweg, __J. Herbrych__, and J. Gemmer

Phys. Rev. B **95**, 134201 (2017)
&arXiv: cond-mat/1607.05664

(12) **Effective realization of random magnetic fields in compounds with large single–ion anisotropy**
__J. Herbrych__ and J. Kokalj

Phys. Rev. B **95**, 125129 (2017)
&arXiv: cond-mat/1606.06013

(11) **Universal dynamics of density correlations at the transition to many–body localized state**

M. Mierzejewski, __J. Herbrych__, and P. Prelovšek

Phys. Rev. B **94**, 224207 (2016)
&arXiv: cond-mat/1607.04992

(10) **Typicality approach to the optical conductivity in thermal and many-body localized phases**

R. Steinigeweg, __J. Herbrych__, F. Pollmann, and W. Brenig

Phys. Rev. B **94**, 180401(R) (2016)
&arXiv: cond-mat/1512.08519

(9) **Light induced magnetization in a spin S=1 easy - plane antiferromagnetic chain**
__J. Herbrych__ and X. Zotos

Phys. Rev. B **93**, 134412 (2016)
&arXiv: cond-mat/1505.03004

(8) **Heat conductivity of the Heisenberg spin-1/2 ladder: From weak to strong breaking of integrability**

R. Steinigeweg, __J. Herbrych__, X. Zotos, and W. Brenig

Phys. Rev. Lett. **116**, 017202 (2016)
&arXiv: cond-mat/1503.03871

(7) **Antiferromagnetic order in weakly coupled random spin chains**

J. Kokalj, __J. Herbrych__, A. Zheludev, and P. Prelovšek

Phys. Rev. B **91**, 155147 (2015)
&arXiv: cond-mat/1409.1757

(6) **Effective S=1/2 description of the S=1 chain with strong easy plane anisotropy**

C. Psaroudaki, __J. Herbrych__, J. Karadamoglou, P. Prelovšek, X. Zotos, and N. Papanicolaou

Phys. Rev. B **89**, 224418 (2014)
&arXiv: cond-mat/1404.3064

(5) **Local spin relaxation within the random Heisenberg chain**
__J. Herbrych__, J. Kokalj, and P. Prelovšek

Phys. Rev. Lett. **111**, 147203 (2013)
&arXiv: cond-mat/1307.0370

(4) **Eigenstate thermalization within isolated spin-chain systems**

R. Steinigeweg, __J. Herbrych__, and P. Prelovšek

Phys. Rev. E **87**, 012118 (2013)
&arXiv: cond-mat/1208.6143

(3) **Spin hydrodynamics in the S=1/2 anisotropic Heisenberg chain**
__J. Herbrych__, R. Steinigeweg, and P. Prelovšek

Phys. Rev. B **86**, 115106 (2012)
&arXiv: cond-mat/1206.4248

(2) **Coexistence of anomalous and normal diffusion in integrable Mott insulators**

R. Steinigeweg, __J. Herbrych__, P. Prelovšek, and M. Mierzejewski

Phys. Rev. B **85**, 214409 (2012)
&arXiv: cond-mat/1201.2844

(1) **Finite-temperature Drude weight within the anisotropic Heisenberg chain**
__J. Herbrych__, P. Prelovšek, and X. Zotos

Phys. Rev. B **84**, 155125 (2011)
&arXiv: cond-mat/1107.3027