How spin-orbital entanglement depends on the spin-orbit
coupling in a Mott insulator

J 2020

How spin-orbital entanglement depends on the spin-orbit coupling in a Mott insulator

GOTFRYD, Dorota, Ekaterina M. PÄRSCHKE, Jiří CHALOUPKA, Andrzej M. OLEŚ, Krzysztof WOHLFELD et. al.

Základní údaje

Originální název

How spin-orbital entanglement depends on the spin-orbit coupling in a Mott insulator

Autoři

GOTFRYD, Dorota, Ekaterina M. PÄRSCHKE, Jiří CHALOUPKA (203 Česká republika, domácí), Andrzej M. OLEŚ a Krzysztof WOHLFELD

Vydání

Physical Review Research, College Park, American Physical Society, 2020, 2643-1564

Další údaje

Jazyk

angličtina

Typ výsledku

Článek v odborném periodiku

Obor

10302 Condensed matter physics

Stát vydavatele

Spojené státy

Utajení

není předmětem státního či obchodního tajemství

Odkazy

URL

Kód RIV

RIV/00216224:14310/20:00116928

Organizační jednotka

Přírodovědecká fakulta

DOI

http://dx.doi.org/10.1103/PhysRevResearch.2.013353

UT WoS

000602699300009

Klíčová slova anglicky

Entanglement entropy; Orbital order; Spin-orbit coupling; Exact diagonalization

Štítky

rivok

Příznaky

Mezinárodní význam, Recenzováno

Změněno: 8. 7. 2024 13:54, Mgr. Marie Šípková, DiS.

Anotace

V originále

The concept of the entanglement between spin and orbital degrees of freedom plays a crucial role in our understanding of various phases and exotic ground states in a broad class of materials, including orbitally ordered materials and spin liquids. We investigate how the spin-orbital entanglement in a Mott insulator depends on the value of the spin-orbit coupling of the relativistic origin. To this end, we numerically diagonalize a one-dimensional spin-orbital model with Kugel-Khomskii exchange interactions between spins and orbitals on different sites supplemented by the on-site spin-orbit coupling. In the regime of small spin-orbit coupling with regard to the spin-orbital exchange, the ground state to a large extent resembles the one obtained in the limit of vanishing spin-orbit coupling. On the other hand, for large spin-orbit coupling the ground state can, depending on the model parameters, either still show negligible spin-orbital entanglement or evolve to a highly spin-orbitally-entangled phase with completely distinct properties that are described by an effective XXZ model. The presented results suggest that (i) the spin-orbital entanglement may be induced by large on-site spin-orbit coupling, as found in the 5d transition metal oxides, such as the iridates; (ii) for Mott insulators with weak spin-orbit coupling of Ising type, such as, e.g., the alkali hyperoxides, the effects of the spin-orbit coupling on the ground state can, in the first order of perturbation theory, be neglected.

Návaznosti

LM2018140, projekt VaV

Název: e-Infrastruktura CZ (Akronym: e-INFRA CZ)

Investor: Ministerstvo školství, mládeže a tělovýchovy ČR, e-Infrastruktura CZ

LQ1601, projekt VaV

Název: CEITEC 2020 (Akronym: CEITEC2020)

Investor: Ministerstvo školství, mládeže a tělovýchovy ČR, CEITEC 2020

Citovat

GOTFRYD, Dorota, Ekaterina M. PÄRSCHKE, Jiří CHALOUPKA, Andrzej M. OLEŚ a Krzysztof WOHLFELD. How spin-orbital entanglement depends on the spin-orbit coupling in a Mott insulator. Physical Review Research. College Park: American Physical Society, 2020, roč. 2, č. 1, s. 1-15. ISSN 2643-1564. Dostupné z: https://dx.doi.org/10.1103/PhysRevResearch.2.013353.

@article{1692997,
   author = {Gotfryd, Dorota and Pärschke, Ekaterina M. and Chaloupka, Jiří and Oleś, Andrzej M. and Wohlfeld, Krzysztof},
   article_location = {College Park},
   article_number = {1},
   doi = {http://dx.doi.org/10.1103/PhysRevResearch.2.013353},
   keywords = {Entanglement entropy; Orbital order; Spin-orbit coupling; Exact diagonalization},
   language = {eng},
   issn = {2643-1564},
   journal = {Physical Review Research},
   title = {How spin-orbital entanglement depends on the spin-orbit coupling in a Mott insulator},
   url = {https://journals.aps.org/prresearch/abstract/10.1103/PhysRevResearch.2.013353},
   volume = {2},
   year = {2020}
}

TY  - JOUR
ID  - 1692997
AU  - Gotfryd, Dorota - Pärschke, Ekaterina M. - Chaloupka, Jiří - Oleś, Andrzej M. - Wohlfeld, Krzysztof
PY  - 2020
TI  - How spin-orbital entanglement depends on the spin-orbit coupling in a Mott insulator
JF  - Physical Review Research
VL  - 2
IS  - 1
SP  - 1-15
EP  - 1-15
PB  - American Physical Society
SN  - 26431564
KW  - Entanglement entropy
KW  - Orbital order
KW  - Spin-orbit coupling
KW  - Exact diagonalization
UR  - https://journals.aps.org/prresearch/abstract/10.1103/PhysRevResearch.2.013353
L2  - https://journals.aps.org/prresearch/abstract/10.1103/PhysRevResearch.2.013353
N2  - The concept of the entanglement between spin and orbital degrees of freedom plays a crucial role in our understanding of various phases and exotic ground states in a broad class of materials, including orbitally ordered materials and spin liquids. We investigate how the spin-orbital entanglement in a Mott insulator depends on the value of the spin-orbit coupling of the relativistic origin. To this end, we numerically diagonalize a one-dimensional spin-orbital model with Kugel-Khomskii exchange interactions between spins and orbitals on different sites supplemented by the on-site spin-orbit coupling. In the regime of small spin-orbit coupling with regard to the spin-orbital exchange, the ground state to a large extent resembles the one obtained in the limit of vanishing spin-orbit coupling. On the other hand, for large spin-orbit coupling the ground state can, depending on the model parameters, either still show negligible spin-orbital entanglement or evolve to a highly spin-orbitally-entangled phase with completely distinct properties that are described by an effective XXZ model. The presented results suggest that (i) the spin-orbital entanglement may be induced by large on-site spin-orbit coupling, as found in the 5d transition metal oxides, such as the iridates; (ii) for Mott insulators with weak spin-orbit coupling of Ising type, such as, e.g., the alkali hyperoxides, the effects of the spin-orbit coupling on the ground state can, in the first order of perturbation theory, be neglected.
ER  -

GOTFRYD, Dorota, Ekaterina M. PÄRSCHKE, Jiří CHALOUPKA, Andrzej M. OLE$\backslash$'S a Krzysztof WOHLFELD. How spin-orbital entanglement depends on the spin-orbit coupling in a Mott insulator. \textit{Physical Review Research}. College Park: American Physical Society, 2020, roč.~2, č.~1, s.~1-15. ISSN~2643-1564. Dostupné z: https://dx.doi.org/10.1103/PhysRevResearch.2.013353.

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