Electrons at the monkey saddle: A multicritical Lifshitz point
- Harvard Univ., Cambridge, MA (United States)
- Univ. of Cambridge (United Kingdom). Cavendish Lab.
- Boston Univ., MA (United States)
In this work, we consider two-dimensional interacting electrons at a monkey saddle with dispersion . Such a dispersion naturally arises at the multicritical Lifshitz point when three Van Hove saddles merge in an elliptical umbilic elementary catastrophe, which we show can be realized in biased bilayer graphene. A multicritical Lifshitz point of this kind can be identified by its signature Landau level behavior and related oscillations in thermodynamic and transport properties, such as de Haas–Van Alphen and Shubnikov–de Haas oscillations, whose period triples as the system crosses the singularity. We show, in the case of a single monkey saddle, that the noninteracting electron fixed point is unstable to interactions under the renormalization-group flow, developing either a superconducting instability or non-Fermi-liquid features. Biased bilayer graphene, where there are two non-nested monkey saddles at the and points, exhibits an interplay of competing many-body instabilities, namely, -wave superconductivity, ferromagnetism, and spin- and charge-density waves.
- Research Organization:
- Boston Univ., MA (United States)
- Sponsoring Organization:
- USDOE Office of Science (SC); Engineering and Physical Sciences Research Council (EPSRC)
- Grant/Contract Number:
- FG02-06ER46316; EP/M007065/1; DEF-06ER46316
- OSTI ID:
- 1535829
- Alternate ID(s):
- OSTI ID: 1341280
- Journal Information:
- Physical Review. B, Vol. 95, Issue 3; ISSN 2469-9950
- Publisher:
- American Physical Society (APS)Copyright Statement
- Country of Publication:
- United States
- Language:
- English
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