Hesselmann, S., Scherer, D. D., Scherer, M. M. and Wessel, S. (2018). Bond-ordered states and f-wave pairing of spinless fermions on the honeycomb lattice. Phys. Rev. B, 98 (4). COLLEGE PK: AMER PHYSICAL SOC. ISSN 2469-9969
Full text not available from this repository.Abstract
Spinless fermions on the honeycomb lattice with repulsive nearest-neighbor interactions are known to harbour a quantum critical point at half-filling, with critical behavior in the Gross-Neveu (chiral Ising) universality class. The critical interaction strength separates a weak-coupling semimetallic regime from a commensurate charge-density-wave phase. The phase diagram of this basic model of correlated fermions on the honeycomb lattice beyond half-filling is, however, less well established. Here, we perform an analysis of its many-body instabilities using the functional renormalization group method with a basic Fermi surface patching scheme, which allows us to treat instabilities in competing channels on equal footing also away from half-filling. Between half-filling and the Van Hove filling, the free Fermi surface is holelike and we again find a charge-density wave instability to be dominant at large interactions. Moreover, its characteristics are those of the half-filled case. Directly at the Van Hove filling, the nesting property of the free Fermi surface stabilizes a dimerized bond-order phase. At lower filling, the free Fermi surface becomes electronlike and a superconducting instability with f-wave symmetry is found to emerge from the interplay of intra-unit-cell repulsion and collective fluctuations in the proximity to the charge-density wave instability. We estimate the extent of the various phases and extract the corresponding order parameters from the effective low-energy Hamiltonians.
| Item Type: | Journal Article | ||||||||||||||||||||
| Creators: |
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| URN: | urn:nbn:de:hbz:38-179341 | ||||||||||||||||||||
| DOI: | 10.1103/PhysRevB.98.045142 | ||||||||||||||||||||
| Journal or Publication Title: | Phys. Rev. B | ||||||||||||||||||||
| Volume: | 98 | ||||||||||||||||||||
| Number: | 4 | ||||||||||||||||||||
| Date: | 2018 | ||||||||||||||||||||
| Publisher: | AMER PHYSICAL SOC | ||||||||||||||||||||
| Place of Publication: | COLLEGE PK | ||||||||||||||||||||
| ISSN: | 2469-9969 | ||||||||||||||||||||
| Language: | English | ||||||||||||||||||||
| Faculty: | Unspecified | ||||||||||||||||||||
| Divisions: | Unspecified | ||||||||||||||||||||
| Subjects: | no entry | ||||||||||||||||||||
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| Refereed: | Yes | ||||||||||||||||||||
| URI: | http://kups.ub.uni-koeln.de/id/eprint/17934 |
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