Perspective electronic spin systems for future quantum technologies

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annotation    project goals    publications:


Project title: Perspective electronic spin systems for future quantum technologies
Principal investigator: Jozef Strečka
Grant Agency: Slovak Research and Development Agency
Project ID: APVV-20-0150
Time schedule: 2021-2025
Participating organizations and team members:

  • Faculty of Science of Pavol Jozef Šafárik University in Košice
    • Jozef Strečka
    • Martin Gmitra
    • Milan Žukovič
    • Michal Jaščur
    • Katarína Karľová
    • Mariia Mohylna
    • Marek Semjan
    • Michal Rončík
    • Jozef Haniš
    • Azadeh Ghannadan
    • Vitalii Tkachenko
    • Dávid Sivý
    • Azam Zoshki
    • Hamid Arian Zad
    • Elham Shahhosseini Shahrabadi
    • Majid Moradi Kelardeh
  • Institute of Physics of Slovak Academy of Sciences in Bratislava
    • Andrej Gendiar
    • Ladislav Šamaj
    • Roman Krčmár
  • Institute of Experimental Physics of Slovak Academy of Sciences in Košice
    • Hana Čenčariková
    • Natália Tomašovičová
  • Faculty of Manufacturing Technologies of Technical University of Košice in Prešov
    • Lucia Gálisová

Annotation:
The project is aimed at a comprehensive understanding of possibilities and limiting factors of electron spin systems for a quantum computation and quantum information processing, which will be investigated by the combination of advanced analytical and numerical methods including among others exact mapping transformations, localized magnon theory, exact diagonalization, tensor-network methods, density functional theory, Monte Carlo simulations and density-matrix renormalization group method. In particular, we will examine the possibility to stabilize a bipartite and multipartite entanglement as a genuine quantum phenomenon needed for a quantum computation and quantum information processing at least up to temperature of liquid nitrogen or preferably room temperature. We will also explore the capability of the pulsed electron spin resonance for the spin-qubit manipulation. Quantum spin systems with topologically protected edge states eligible for a topological quantum computation will be investigated in detail together with a few selected quantum spin chains studied in connection with the implementation of a quantum teleportation. Frustrated Heisenberg spin systems supporting either the presence of a nontrivial skyrmion phase or magnon-crystal phases will be investigated in connection with the possibility to store a quantum information or to implement more complex quantum circuits. Heterostructures composed of atomically thin layers coupled by van der Waals forces will be examined with respect to a superconducting pairing and topological quantum computation. The studied electron spin systems will be either motivated by the effort to understand unconventional behavior of existing real magnetic materials or will be supplemented by the respective proposals for their experimental realization.

Project goals

Activity 1: Entangled molecular spin clusters
1.1 To examine temperature resistance of a quantum entanglement of selected Heisenberg spin clusters depending on a magnetic structure and spin size. To find a few paradigmatic examples of molecular magnetic materials, which should persist entangled at high enough temperatures.
1.2 To investigate a spin dynamics of quantum Heisenberg spin clusters with the aim to clarify the spin-qubit manipulation through the pulsed electron spin resonance.

Activity 2: Topologically nontrivial states
2.1 To reveal under which conditions quantum Heisenberg spin chains may exhibit topological protected edge states eligible for a topological quantum computation.
2.2 To explore presence, character and stability of possible skyrmion phases in the frustrated Heisenberg antiferromagnet on a triangular lattice and some related heterostructures depending on further-neighbor interactions, DMI, magnetic anisotropy or higher-order interactions.
2.3 To develop optimized algorithms, which are built up on ideas of the tensor-product states for given spin/electron (qubit) systems. To investigate the impact of the lattice geometry on the entanglement entropy with respect to the area-law scaling if strong correlations are present.

Activity 3: Flat-band quantum systems
3.1 To clarify a degree of bipartite and multipartite entanglement within magnon-crystal phases of flat-band Heisenberg spin models. To find appropriate candidates of flat-band Heisenberg spin systems, in which a quantum information can be encoded in chiral bound magnons.
3.2 To study novel quantum states in layered systems, their quasiparticle correlations, Moiré flat bands, topological aspects relevant for superconducting pairing and topological quantum computation.

Activity 4: Spin systems eligible for quantum teleportation
4.1 To optimize fidelity of a quantum teleportation for a quantum channel composed of two Ising-Heisenberg orthogonal-dimer spin chains.
4.2 To optimize fidelity of a quantum teleportation between quantum spin clusters and chains.

Publications 2021

  1. H. Vargová, J. Strečka, Unconventional thermal and magnetic-field-driven changes of a bipartite entanglement of a mixed spin-(1/2,S) Heisenberg dimer with an uniaxial single-ion anisotropy, Nanomaterials 11 (2021) 3096 (23 pages). doi:10.3390/nano11113096
  2. M. Žukovič, D. T. Hristopulos, Ising Model for Interpolation of Spatial Data on Regular Grids, Entropy 23 (2021) 1270 (18 pages). doi: 10.3390/e23101270
  3. L. Gálisová, M. Kaczor, Ground State, Magnetization Process and Bipartite Quantum Entanglement of a Spin-1/2 Ising–Heisenberg Model on Planar Lattices of Interconnected Trigonal Bipyramids, Entropy 23 (2021) 1671 (14 pages). doi: 10.3390/e23121671
  4. L. Gálisová, Insights into Magnetic Properties of a Mixed Spin-Electron Model on Decorated Planar Lattices Composed of Half-filled Trigonal Bipyramids, J. Phys. Soc. Jpn. 90 (2021) 114004 (9 pages). doi: 10.7566/JPSJ.90.114004

Publications 2022

  1. J. Strečka, T. Verkholyak, J. Richter, K. Karľová, O. Derzhko, J. Schnack, Frustrated magnetism of spin-1/2 Heisenberg diamond and octahedral chains as a statistical-mechanical monomer-dimer problem, Phys. Rev. B 105 (2022) 064420 (18 pages). doi: 10.1103/PhysRevB.105.064420
  2. K. Zollner, M. Gmitra, J. Fabian, Proximity spin-orbit and exchange coupling in ABA and ABC trilayer graphene van derWaals heterostructures, Phys. Rev. B 105 (2022) 115126 (24 pages). doi: 10.1103/PhysRevB.105.115126
  3. M. Mohylna, F. A. Gómez Albarracín, M. Žukovič, H. D. Rosales, Spontaneous antiferromagnetic skyrmion/antiskyrmion lattice and spiral spin-liquid states in the frustrated triangular lattice, Phys. Rev. B 106 (2022) 224406 (10 pages). doi: 10.1103/PhysRevB.106.224406
  4. M. Žukovič, G. Kalagov, XY model with competing higher-order interactions, Phys. Rev. E 105 (2022) 034129 (10 pages). doi: 10.1103/PhysRevE.105.034129
  5. H. Arian Zad, J. Strečka, Unconventional spin frustration due to two competing ferromagnetic interactions of a spin-1/2 Ising-Heisenberg model on martini and martini-diced lattices, Phys. Rev. E 105 (2022) 044115 (13 pages). doi: 10.1103/PhysRevE.105.044115
  6. R. Krčmár, A. Gendiar, L. Šamaj, Ising ferromagnets and antiferromagnets in an imaginary magnetic field, Phys. Rev. E 105 (2022) 054112 (10 pages). doi: 10.1103/PhysRevE.105.054112
  7. K. Karľová, J. Strečka, J. Richter, Towards lattice-gas description of low-temperature properties above the Haldane and cluster-based Haldane ground states of a mixed spin-(1,1/2) Heisenberg octahedral chain, Phys. Rev. E 106 (2022) 014107 (12 pages). doi: 10.1103/PhysRevE.106.014107
  8. H. Vargová, J. Strečka, Conventional and inverse magnetocaloric and electrocaloric effects of a mixed spin-(1/2, 1) Heisenberg dimer, Eur. Phys. J. Plus 137 (2022) 490 (12 pages). doi: 10.1140/epjp/s13360-022-02694-8
  9. F. Benabdallah, K. El Anouz, J. Strečka, M. Daoud, Thermal non-classical correlation via skew information, quantum Fisher information, and quantum teleportation of a spin-1/2 Heisenberg trimer system, Eur. Phys. J. Plus 137 (2022) 1096 (18 pages). doi: 10.1140/epjp/s13360-022-03297-z
  10. L. Gálisová, Insight into ground-state spin arrangement and bipartite entanglement of the polymeric coordination compound [Dy2Cu2]𝑛 through the symmetric spin-1/2 Ising–Heisenberg orthogonal-dimer chain, J. Magn. Magn. Mater. 561 (2022) 169721 (8 pages). doi: 10.1016/j.jmmm.2022.169721
  11. M Rončík, T. Balcerzak, K. Szalowski, M Jaščur, Mean-field theory of the spin-1/2 transverse field Ising model with a negative thermal expansion, J. Phys.: Condens. Matter 34 (2022) 485802 (15 pages). doi: 10.1088/1361-648X/ac976e
  12. P.E. Faria Junior, K. Zollner, T. Wozniak, M. Kurpas, M. Gmitra, J. Fabian, First-principles insights into the spin-valley physics of strained transition metal dichalcogenides monolayers, New J. Phys. 24 (2022) 083004 (20 pages). doi: 10.1088/1367-2630/ac7e21
  13. H. Arian Zad A. Zoshki, N. Ananikian, M. Jaščur, Tomonaga–Luttinger Spin Liquid and Kosterlitz–Thouless Transition in the Spin-1/2 Branched Chains: The Study of Topological Phase Transition, Materials 15 (2022) 4183 (9 pages). doi: 10.3390/ma15124183
  14. M. Mohylna, V. Tkachenko, M. Žukovič, Road to zero-field antiferromagnetic skyrmions in a frustrated AFM/FM heterostructure, Phys. Lett. A 449 (2022) 128350 (6 pages). doi: 10.1016/j.physleta.2022.128350

Publications 2023

  1. N. Caci, K. Karľová, T. Verkholyak, J. Strečka, S. Wessel, A. Honecker, Phases of the spin-1/2 Heisenberg antiferromagnet on the diamond-decorated square lattice in a magnetic field, Phys. Rev. B 107 (2023) 115143 (14 pages). DOI: https://doi.org/10.1103/PhysRevB.107.115143
  2. J. Strečka, K. Karľová, T. Verkholyak, N. Caci, S. Wessel, A. Honecker, Thermal first-order phase transitions, Ising critical points, and reentrance in the Ising-Heisenberg model on the diamond-decorated square lattice in a magnetic field, Phys. Rev. B 107 (2023) 134402 (17 pages). DOI: https://doi.org/10.1103/PhysRevB.107.134402
  3. H. Vargová, J. Strečka, Distribution of a bipartite entanglement in a mixed spin-(1/2,1) Heisenberg tetramer, Physica A 625 (2023) 129046 (21 pages). DOI: https://doi.org/10.1016/j.physa.2023.129046
  4. J. Strečka, A bird‘s eye view of a quantum entanglement: from spooky action at a distance towards cornerstone of novel quantum technologies, Physica B 653 (2023) 414483 (3 pages). DOI: https://doi.org/10.1016/j.physb.2022.414483
  5. L.M. Veríssimo, M.S.S. Pereira, J. Strečka, M.L. Lyra, Topological quantum phase transition in a mixed-spin Heisenberg tetramer chain with alternating spin-1/2 and spin-5/2 dimers, J. Magn. Magn. Mater. 571 (2023) 170595 (3 pages). DOI: https://doi.org/10.1016/j.jmmm.2023.170595
  6. L.M. Veríssimo, M.S.S. Pereira, J. Strečka, M.L. Lyra, Universality of the topological phase transition in mixed-spin tetramer Heisenberg chains, Physica A 626 (2023) 129024 (10 pages). DOI: https://doi.org/10.1016/j.physa.2023.129024
  7. A. Ghannadan, K. Karľová, J. Strečka, Magnetic-field-driven rise and fall of a bipartite entanglement in a spin-liquid phase of a spin-1/2 Heisenberg branched chain, Eur. Phys. J. Plus 138 (2023) 681 (11 pages). DOI: https://doi.org/10.1140/epjp/s13360-023-04311-8
  8. M. Mohylna, V. Tkachenko, M. Žukovič, Towards skyrmion crystal stabilization in the antiferromagnetic triangular lattice at ambient conditions, Phys. Lett. A 490 (2023) 129170 (6 pages). DOI: https://doi.org/10.1016/j.physleta.2023.129170
  9. M. Polackova, A. Gendiar, Anisotropic deformation of the 6-state clock model: Tricritical-point classification, Physica A 624 (2023) 128907 (13 pages), DOI: https://doi.org/10.1016/j.physa.2023.128907
  10. J. Genzor, A. Gendiar, T. Nishino, Local and global magnetization on the Sierpiński carpet, Phys. Rev. E 107 (2023) 044108 (9 pages). DOI: https://doi.org/10.1103/PhysRevE.107.044108

Publications 2024

  1. K. Karľová, A. Honecker, N. Caci, S. Wessel, J. Strečka, T. Verkholyak, Thermodynamic properties of the macroscopically degenerate tetramer-dimer phase of the spin-1/2 Heisenberg model on the diamond-decorated square lattice, Physical Review B 110 (2024) 214429 (17 pages)., doi: https:/doi.org/10.1103/PhysRevB.110.214429
  2. M. Žukovič, Generalized 𝑋𝑌 model with competing antiferromagnetic and antinematic interactions, Physical Review E 110 (2024) 044139 (13 pages), doi: https://doi.org/10.1103/PhysRevE.110.044139
  3. L. Šamaj, E. Trizac, M. Trulsson, Strong-coupling effective-field theory for asymmetrically charged plates with counterions only, Physical Review E 110 (2024) 014609 (14 pages), doi: 10.1103/PhysRevE.110.014609
  4. J. Strečka, K. Karľová, Pseudo-transition between antiferromagnetic and charge orders in a minimal spin-pseudospin model of one-dimensional cuprates, European Physical Journal B 97 (2024) 74 (8 pages)., https://doi.org/10.1140/epjb/s10051-024-00710-7
  5. P.F. Dias, A. Krindges, C.V. Morais, F.M. Zimmer, M. Mohylna, M. Žukovič, M. Schmidt, Residual entropy, bicriticality, and tricriticality in the frustrated Ising model on the honeycomb lattice, Journal of Magnetism and Magnetic Materials 604 (2024) 172282 (11 pages), doi: https://doi.org/10.1016/j.jmmm.2024.172282
  6. J. Strečka, E. Shahhosseini Shahrabadi, Room-temperature entanglement of the nickel-radical molecular complex (Et3NH)[Ni(hfac)2L] reinforced by the magnetic field, Inorganics 12 (2024) 102 (13 pages), doi: https://doi.org/10.3390/inorganics12040102
  7. M. Žukovič, Generalized XY Models with Arbitrary Number of Phase Transitions. Entropy 26 (2024) 893 (11 pages). doi: https://doi.org/10.3390/e26110893
  8. L. Bétermin, L. Šamaj, I. Travenec, Structural transitions in interacting lattice systems, Analysis and Mathematical Physics 14 (2024) 27 (21 pages), doi: https://doi.org/10.1007/s13324-024-00888-0
  9. L. Šamaj, Effective interaction between guest charges immersed in 2D jellium, Journal of Physics A: Mathematical and Theoretical 57 (2024) 105001, doi: https://doi.org/10.1088/1751-8121/ad24c9
  10. M. Lach, M. Žukovič, Fast Gap-Filling of Massive Data by Local-Equilibrium Conditional Simulations on GPU, Mathematical Geosciences 56 (2024) 573–603 (31 pages), doi: https://doi.org/10.1007/s11004-023-10092-8

Publications 2025

  1. H. Arian Zad, J. Strečka, W. Plass, Multipartite entanglement and quantum sensing in a spin-5/2 Heisenberg molecular iron(III) triangle, Phys. Rev. B 111 (2025) 024420, doi: https://doi.org/10.1103/PhysRevB.111.024420
  2. H. Vargová, J. Strečka, The quantification of a genuine tetrapartite entanglement in a mixed spin-(1/2,1) Heisenberg tetramer, Physica A 664 (2025) 130464, doi: https://doi.org/10.1016/j.physa.2025.130464
  3. M. Mohylna, F. A. Gómez Albarracín, M. Žukovič, H. D. Rosales, Frustration-driven topological textures on the honeycomb lattice: Antiferromagnetic meron-antimeron and skyrmion crystals emerging from spiral spin liquids, Phys. Rev. B 111 (2025) 174435 (16 pages). doi: https://doi.org/10.1103/PhysRevB.111.174435
  4. M. Mosko, M. Polackova, R. Krcmar, A. Gendiar, Vertex representation of hyperbolic tensor networks, Phys. Rev. E 111 (2025) 024105 (16 pages). doi: https://doi.org/10.1103/PhysRevE.111.024105
  5. M. Žukovič, Crossover from BKT to first-order transition induced by higher-order terms in 2D XY models, Phys. Lett. A 552 (2025) 130627 (7 pages). doi: https://doi.org/10.1016/j.physleta.2025.130627
  6. L. Šamaj, Contact value theorem for electric double layers with modulated surface charge density, J. Phys. A: Math. Theor. 58 (2025) 065001 (22 pages).  doi: https://doi.org/10.1088/1751-8121/adaba1
  7. I. Travenec, L. Šamaj, 1D fluids with repulsive nearest-neighbour interactions: low-temperature anomalies, J. Phys. A: Math. Theor. 58 (2025) 195005 (30 pages). doi: https://doi.org/10.1088/1751-8121/add22c

Exotic quantum states of low-dimensional spin and electron systems

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