Hidden symmetries of the extended Kitaev-Heisenberg model: Implications for the honeycomb-lattice iridates A2IrO3

CHALOUPKA, Jiří and Giniyat KHALIULLIN. Hidden symmetries of the extended Kitaev-Heisenberg model: Implications for the honeycomb-lattice iridates A2IrO3. Physical Review B. USA: The American Physical Society, 2015, vol. 92, No 2, p. nestránkováno, 14 pp. ISSN 1098-0121. Available from: https://dx.doi.org/10.1103/PhysRevB.92.024413.

Basic information

• Original name: Hidden symmetries of the extended Kitaev-Heisenberg model: Implications for the honeycomb-lattice iridates A2IrO3
• Name in Czech: Skryté symetrie rozšířeného Kitaevova-Heisenbergova modelu: Důsledky pro iridáty typu A2IrO3
• Authors: CHALOUPKA, Jiří (203 Czech Republic, guarantor, belonging to the institution) and Giniyat KHALIULLIN (643 Russian Federation).
• Edition: Physical Review B, USA, The American Physical Society, 2015, 1098-0121.

Other information

• Original language: English
• Type of outcome: Article in a journal
• Field of Study: 10302 Condensed matter physics
• Country of publisher: United States of America
• Confidentiality degree: is not subject to a state or trade secret
• WWW: URL
• Impact factor: Impact factor: 3.736 in 2014
• RIV identification code: RIV/00216224:14740/15:00081489
• Organization unit: Central European Institute of Technology
• Doi: http://dx.doi.org/10.1103/PhysRevB.92.024413
• UT WoS: 000357855900012
• Keywords (in Czech): spinové modely; frustrovaný magnetismus; iridáty
• Keywords in English: spin models; frustrated magnetism; iridates
• Tags: podil, rivok
• Tags: International impact, Reviewed

Abstract

We have explored the hidden symmetries of a generic four-parameter nearest-neighbor spin model, allowed in honeycomb-lattice compounds under trigonal compression. Our method utilizes a systematic algorithm to identify all dual transformations of the model that map the Hamiltonian on itself, changing the parameters and providing exact links between different points in its parameter space. We have found the complete set of points of hidden SU(2) symmetry at which a seemingly highly anisotropic model can be mapped back on the Heisenberg model and inherits therefore its properties such as the presence of gapless Goldstone modes. The procedure used to search for the hidden symmetries is quite general and may be extended to other bond-anisotropic spin models and other lattices, such as the triangular, kagome, hyperhoneycomb, or harmonic-honeycomb lattices. We apply our findings to the honeycomb-lattice iridates Na2IrO3 and Li2IrO3, and illustrate how they help to identify plausible values of the model parameters that are compatible with the available experimental data.

Abstract (in Czech)

Zkoumáme skryté symetrie obecného čtyřparametrového spinového modelu, který je konzistentní s voštinovou mřížkou podrobenou trigonální kompresi. Používáme systematický algoritmus na vyhledání všech duálních transformací modelu, které zprostředkují exaktní propojení různých bodů v prostoru parametrů modelu. Našli jsme úplnou sadu bodů se skrytou SU(2) symetrií, ve kterých je silně anizotropní model skrytě ekvivalentní Heisenbergovu modelu. Aplikujeme své výsledky na iridáty Na2IrO3 a Li2IrO3 a ukazujeme, jak pomáhají nalézt realistické hodnoty parametrů kompatibilní s exparimentálními daty.

Links

• ED1.1.00/02.0068, research and development project: Name: CEITEC - central european institute of technology
• GJ15-14523Y, research and development project: Name: Mikroskopické modely magnetismu supravodivých pniktidů železa a vrstevnatých oxidů iridia
• 286154, interní kód MU: Name: SYLICA - Synergies of Life and Material Sciences to Create a New Future (Acronym: SYLICA)

Investor: European Union, Capacities