Spin magnetometry as a probe of stripe superconductivity in twisted bilayer graphene

König, E. J.; Coleman, Piers; Tsvelik, Alexei M.

doi:10.1103/physrevb.102.104514

Title: Spin magnetometry as a probe of stripe superconductivity in twisted bilayer graphene

Journal Article · Tue Sep 29 00:00:00 EDT 2020 · Physical Review. B

DOI:https://doi.org/10.1103/physrevb.102.104514· OSTI ID:1659695

^[1]; Coleman, Piers ^[2];

^[3]

Rutgers Univ., Piscataway, NJ (United States)
Rutgers Univ., Piscataway, NJ (United States); Royal Holloway, Univ. of London (RHUL), Egham (United Kingdom)
Brookhaven National Lab. (BNL), Upton, NY (United States)

The discovery of alternating superconducting and insulating ground states in magic angle graphene has suggested an intriguing analogy with cuprate high-T_c materials. In this paper we argue that the network states of small angle twisted bilayer graphene (TBG) afford a further perspective on the cuprates by emulating their stripe-ordered phases, as in La_1.875Ba_0.125CuO₄. We show that the spin and valley quantum numbers of stripes in TBG graphene fractionalize, developing characteristic signatures in the tunneling density of states and the magnetic noise spectrum of impurity spins. By examining the coupling between the charge rivers we determine the superconducting transition temperature. Our study suggests that twisted bilayer graphene can be used for a controlled emulation of stripe superconductivity and quantum sensing experiments of emergent anyonic excitations.

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Research Organization:: Brookhaven National Laboratory (BNL), Upton, NY (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES)

Grant/Contract Number:: SC0012704; FG02-99ER45790

OSTI ID:: 1659695

Report Number(s):: BNL-216359-2020-JAAM; TRN: US2203469

Journal Information:: Physical Review. B, Vol. 102, Issue 10; ISSN 2469-9950

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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