Buessen, Finn Lasse ORCID: 0000-0002-7773-4665 and Trebst, Simon ORCID: 0000-0002-1479-9736 (2016). Competing magnetic orders and spin liquids in two- and three-dimensional kagome systems: Pseudofermion functional renormalization group perspective. Phys. Rev. B, 94 (23). COLLEGE PK: AMER PHYSICAL SOC. ISSN 2469-9969

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Abstract

Quantum magnets on kagome lattice geometries in two and three spatial dimensions are archetypal examples of spin systems in which geometric frustration inhibits conventional magnetic ordering and instead benefits the emergence of long-range entangled spin liquids at low temperature. Here we employ a recently developed pseudofermion functional renormalization group (pf-FRG) approach to study the low-temperature quantum magnetism of kagome and hyperkagome spin systems with exchange interactions beyond the nearest-neighbor coupling. We find that next-nearest-neighbor couplings stabilize a variety of magnetic orders as well as induce additional spin liquid regimes, giving rise to rather rich phase diagrams, which we characterize in detail. On a technical level, we find that the pf-FRG approach is in excellent quantitative agreement with high-temperature series expansions over their range of validity and it exhibits a systematic finite-size convergence in the temperature regime below. We discuss notable advantages and some current limitations of the pf-FRG approach in the ongoing search for unconventional forms of quantum magnetism.

Item Type: Journal Article
Creators:
CreatorsEmailORCIDORCID Put Code
Buessen, Finn LasseUNSPECIFIEDorcid.org/0000-0002-7773-4665UNSPECIFIED
Trebst, SimonUNSPECIFIEDorcid.org/0000-0002-1479-9736UNSPECIFIED
URN: urn:nbn:de:hbz:38-252485
DOI: 10.1103/PhysRevB.94.235138
Journal or Publication Title: Phys. Rev. B
Volume: 94
Number: 23
Date: 2016
Publisher: AMER PHYSICAL SOC
Place of Publication: COLLEGE PK
ISSN: 2469-9969
Language: English
Faculty: Unspecified
Divisions: Unspecified
Subjects: no entry
Uncontrolled Keywords:
KeywordsLanguage
LATTICE; ANTIFERROMAGNETS; ANYONS; STATES; ICEMultiple languages
Materials Science, Multidisciplinary; Physics, Applied; Physics, Condensed MatterMultiple languages
Refereed: Yes
URI: http://kups.ub.uni-koeln.de/id/eprint/25248

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