Tuning into the Kitaev spin liquid phase: A spin model on the honeycomb lattice with two types of Heisenberg exchange couplings

Yu, Yue; Liang, Long; Niu, Qian; Qin, Shaojing

doi:10.1103/physrevb.87.041107

Cited by 14 publications

(13 citation statements)

References 22 publications

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“…The Heisenberg-Kitaev model (123) exhibits a rich phase diagram. Readers who are interested in these developments may refer to, for example, references (Chaloupka et al, 2010;Jiang et al, 2011;Kimchi and Vishwanath, 2014;Kimchi and You, 2011;Lee et al, 2014;Price and Perkins, 2012;Reuther et al, 2011;Schaffer et al, 2012;Singh et al, 2012;Yu et al, 2013) for details. A comprehensive review on this topic has also been published by Nussinov and van den Brink (Nussinov and van den Brink, 2013).…”

Section: Iv4 Kitaev Honeycomb Model and Related Issuesmentioning

confidence: 99%

Quantum spin liquid states

Zhou¹,

Kanoda²,

Ng³

2017

Rev. Mod. Phys.

1,337

1,045

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This article is an introductory review of the physics of quantum spin liquid (QSL) states. Quantum magnetism is a rapidly evolving field, and recent developments reveal that the ground states and low-energy physics of frustrated spin systems may develop many exotic behaviors once we leave the regime of semi-classical approaches. The purpose of this article is to introduce these developments. The article begins by explaining how semi-classical approaches fail once quantum mechanics become important and then describes the alternative approaches for addressing the problem. We discuss mainly spin 1/2 systems, and we spend most of our time in this article on one particular set of plausible spin liquid states in which spins are represented by fermions. These states are spin-singlet states and may be viewed as an extension of Fermi liquid states to Mott insulators, and they are usually classified in the category of so-called SU (2), U (1) or Z 2 spin liquid states. We review the basic theory regarding these states and the extensions of these states to include the effect of spin-orbit coupling and to higher spin (S > 1/2) systems. Two other important approaches with strong influences on the understanding of spin liquid states are also introduced: (i) matrix product states and projected entangled pair states and (ii) the Kitaev honeycomb model. Experimental progress concerning spin liquid states in realistic materials, including anisotropic triangular lattice systems (κ-(ET) 2 Cu 2 (CN) 3 and EtMe 3 Sb[(Pd(dmit) 2 ] 2 ), kagome lattice systems (ZnCu 3 (OH) 6 Cl 2 ) and hyperkagome lattice systems (Na 4 Ir 3 O 8 ), is reviewed and compared against the corresponding theories.

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Section: Iv4 Kitaev Honeycomb Model and Related Issuesmentioning

confidence: 99%

Quantum spin liquid states

Zhou¹,

Kanoda²,

Ng³

2017

Rev. Mod. Phys.

1,337

1,045

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“…The honeycomb lattice would only be frustrated if further neighbor exchange is considered but receives substantial theoretical interest since it has the smallest possible coordination number in two dimensions. [17][18][19] Thus for these systems quantum fluctuations are expected to have a much larger effect on the stability of magnetic order than, for example, for square or triangular lattices. A number of honeycomb lattice structures have been identified experimentally, including the spin- 28 Bulk property measurements of geometrically frustrated systems usually reveal anomalous behavior, such as the presence of phase transitions at temperatures much lower than expected from the strength of the exchange interactions.…”

Section: Introductionmentioning

confidence: 99%

Highly frustrated magnetism in SrHo2O4: Coexistence of two types of short-range order

et al. 2013

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SrHo 2 O 4 is a geometrically frustrated magnet in which the magnetic Ho 3+ ions form honeycomb layers connected through a network of zigzag chains. At low-temperature two distinct types of short-range magnetic order can be inferred from single-crystal diffraction data, collected using both polarized and unpolarized neutrons. In the (hk0) plane the diffuse scattering is most noticeable around the k = 0 positions and its intensity rapidly increases at temperatures below 0.7 K. In addition, planes of diffuse scattering at Q = (hk ± l 2 ) are visible at temperatures as high as 4.5 K. These planes coexist with the broad peaks of diffuse scattering in the (hk0) plane at low temperatures. Correlation lengths associated with the broad peaks are L ≈ 150Å in the a-b plane and L ≈ 190Å along the c axis, while the correlation length associated with the diffuse scattering planes is L ≈ 230Å along the c axis at the lowest temperature. Both types of diffuse scattering are elastic in nature. The highly unusual coexistence of the two types of diffuse scattering in SrHo 2 O 4 is likely to be the result of the presence of two crystallographically inequivalent sites for Ho 3+ in the unit cell.

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“…The presence of the link-spin dependent hopping t ′ introduces a competition between conventional Néel order and a new type of AF order accompanied by a local spin rotation 39 . The latter pushes the magnetic phase boundary toward larger-U dramatically when t ′ /t > 0.57, realizing the various symmetry distinct SLs as stable phases of the electronic matter.…”

Section: Determination Of the Global Phase Diagrammentioning

confidence: 99%

“…becomes the known ground state in the large on-site U limit 32,36,39 . With the latter severing as a reference SL state, we obtain a rich phase diagram on the U/t − t ′ /t plane that reveals the phase structure of several symmetry distinct SL states on the honeycomb lattice as well as their competition with several forms of AF order.…”

Section: 38mentioning

confidence: 99%

Distinct-symmetry spin-liquid states and phase diagram of the Kitaev-Hubbard model

Liang

Wang

2014

Phys. Rev. B

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We report the finding of a series of symmetry distinct spin liquid (SL) states and a rich phase diagram in a half-filled honeycomb lattice Hubbard model with spin-dependent hopping amplitude t ′ . We first study the magnetic instability of the system and find two antiferromagnetic (AF) orders beyond a critical Hubbard U which increases with the ratio t ′ /t . For t ′ approaching to t, the semimetal (SM) transforms to a U (1) SL and then to the Kitaev Z2 SL as U increases. In a wide middle range of t ′ /t, the latter is replaced by a U (1) SL to SU (2) SL transition. The physical properties of the stable SL phases are discussed.

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Tuning into the Kitaev spin liquid phase: A spin model on the honeycomb lattice with two types of Heisenberg exchange couplings

Cited by 14 publications

References 22 publications

Quantum spin liquid states

Quantum spin liquid states

Highly frustrated magnetism in SrHo2O4: Coexistence of two types of short-range order

Distinct-symmetry spin-liquid states and phase diagram of the Kitaev-Hubbard model

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