O'Brien, Kevin, Hermanns, Maria ORCID: 0000-0003-2258-1945 and Trebst, Simon ORCID: 0000-0002-1479-9736 (2016). Classification of gapless Z(2) spin liquids in three-dimensional Kitaev models. Phys. Rev. B, 93 (8). COLLEGE PK: AMER PHYSICAL SOC. ISSN 2469-9969

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Frustrated quantum magnets can harbor unconventional spin-liquid ground states in which the elementary magnetic moments fractionalize into new emergent degrees of freedom. While the fractionalization of quantum numbers is one of the recurring themes in modern condensed matter physics, it often remains a challenge to devise a controlled analytical framework tracking this phenomenon. A notable exception is the exactly solvable Kitaev model, in which spin degrees of freedom fractionalize into Majorana fermions and a Z(2) gauge field. Here, we discuss the physics of fractionalization in three-dimensional Kitaev models and demonstrate that the itinerant Majorana fermions generically form a (semi) metal which, depending on the underlying lattice structure, exhibits Majorana Fermi surfaces, nodal lines, or topologically protected Weyl nodes. We show that the nature of these Majorana metals can be deduced from an elementary symmetry analysis of the projective time-reversal and inversion symmetries for a given lattice. This allows us to comprehensively classify the gapless spin liquids of Kitaev models for the most elementary tricoordinated lattices in three dimensions. We further expand this classification by addressing the effects of time-reversal symmetry breaking and additional interactions.

Item Type: Journal Article
CreatorsEmailORCIDORCID Put Code
Hermanns, MariaUNSPECIFIEDorcid.org/0000-0003-2258-1945UNSPECIFIED
Trebst, SimonUNSPECIFIEDorcid.org/0000-0002-1479-9736UNSPECIFIED
URN: urn:nbn:de:hbz:38-285801
DOI: 10.1103/PhysRevB.93.085101
Journal or Publication Title: Phys. Rev. B
Volume: 93
Number: 8
Date: 2016
Place of Publication: COLLEGE PK
ISSN: 2469-9969
Language: English
Faculty: Unspecified
Divisions: Unspecified
Subjects: no entry
Uncontrolled Keywords:
LATTICEMultiple languages
Materials Science, Multidisciplinary; Physics, Applied; Physics, Condensed MatterMultiple languages
Refereed: Yes
URI: http://kups.ub.uni-koeln.de/id/eprint/28580


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