scholarly journals Fractional Chern insulators in magic-angle twisted bilayer graphene

Nature ◽  
2021 ◽  
Vol 600 (7889) ◽  
pp. 439-443
Author(s):  
Yonglong Xie ◽  
Andrew T. Pierce ◽  
Jeong Min Park ◽  
Daniel E. Parker ◽  
Eslam Khalaf ◽  
...  

AbstractFractional Chern insulators (FCIs) are lattice analogues of fractional quantum Hall states that may provide a new avenue towards manipulating non-Abelian excitations. Early theoretical studies1–7 have predicted their existence in systems with flat Chern bands and highlighted the critical role of a particular quantum geometry. However, FCI states have been observed only in Bernal-stacked bilayer graphene (BLG) aligned with hexagonal boron nitride (hBN)8, in which a very large magnetic field is responsible for the existence of the Chern bands, precluding the realization of FCIs at zero field. By contrast, magic-angle twisted BLG9–12 supports flat Chern bands at zero magnetic field13–17, and therefore offers a promising route towards stabilizing zero-field FCIs. Here we report the observation of eight FCI states at low magnetic field in magic-angle twisted BLG enabled by high-resolution local compressibility measurements. The first of these states emerge at 5 T, and their appearance is accompanied by the simultaneous disappearance of nearby topologically trivial charge density wave states. We demonstrate that, unlike the case of the BLG/hBN platform, the principal role of the weak magnetic field is merely to redistribute the Berry curvature of the native Chern bands and thereby realize a quantum geometry favourable for the emergence of FCIs. Our findings strongly suggest that FCIs may be realized at zero magnetic field and pave the way for the exploration and manipulation of anyonic excitations in flat moiré Chern bands.

2021 ◽  
Author(s):  
Dmitri Efetov ◽  
Petr Stepanov ◽  
Ming Xie ◽  
Takashi Taniguchi ◽  
Kenji Watanabe ◽  
...  

Abstract The discovery of magic angle twisted bilayer graphene (MATBG) has unveiled a rich variety of superconducting, magnetic and topologically nontrivial phases. The existence of all these phases in one material, and their tunability, has opened new pathways for the creation of unusual gate tunable junctions. However, the required conditions for their creation – gate induced transitions between phases in zero magnetic field – have so far not been achieved. Here, we report on the first experimental demonstration of a device that is both a zero-field Chern insulator and a superconductor. The Chern insulator occurs near moiré cell filling factor = +1 in a hBN non-aligned MATBG device and manifests itself via an anomalous Hall effect. The insulator has Chern number C= ±1 and a relatively high Curie temperature of Tc ≈ 4.5 K. Gate tuning away from this state exposes strong superconducting phases with critical temperatures of up to Tc ≈ 3.5 K. In a perpendicular magnetic field above B > 0.5 T we observe a transition of the = +1 Chern insulator from Chern number C = ±1 to C = 3, characterized by a quantized Hall plateau with Ryx = h/3e2. These observations show that interaction-induced symmetry breaking in MATBG leads to zero-field ground states that include almost degenerate and closely competing Chern insulators, and that states with larger Chern numbers couple most strongly to the B-field. By providing the first demonstration of a system that allows gate-induced transitions between magnetic and superconducting phases, our observations mark a major milestone in the creation of a new generation of quantum electronics.


2020 ◽  
Vol 102 (15) ◽  
Author(s):  
A. O. Sboychakov ◽  
A. V. Rozhkov ◽  
A. L. Rakhmanov ◽  
Franco Nori

2000 ◽  
Vol 14 (29n31) ◽  
pp. 3577-3583 ◽  
Author(s):  
L. S. MAZOV

The significant role of spin stripes in HTSC system is emphasized. The evidence for spin density wave (SDW) nature of pseudogap is presented. The dependence of CuO2 lattice modulation amplitude on the temperature and applied magnetic field is studied. The indication to possible SDW-SC resonance is obtained. The possible amplification of Tc with using of artificial magnetic stripes with taking into account their dynamic nature is proposed. An example of twofold amplification of Tc in thin single-crystalline film of La-based cuprate is presented.


2013 ◽  
Vol 138 (18) ◽  
pp. 184202 ◽  
Author(s):  
Mark C. Butler ◽  
Micah P. Ledbetter ◽  
Thomas Theis ◽  
John W. Blanchard ◽  
Dmitry Budker ◽  
...  

2015 ◽  
Vol 233-234 ◽  
pp. 741-744
Author(s):  
Sergey Mikhailovich Podgornykh

Effect of the magnetic prehistory on the temperature dependence of the heat capacity of the superconducting Pb, La, Sn. has been studied. As soon as the external magnetic field riches the valueHext=HCthe superconductivity is completely destroyed. The trapped flux was produced in the ring specimen after the magnetic field was turned off atT<TC. We observed a difference of the value of the heat capacity between zero field cooled (ZFC) and field cooled (FC) states in zero magnetic field for the ring specimen. It is found that the FC heat capacity is smaller than the heat capacity both in the normal and in superconducting states.


2012 ◽  
Vol 85 (15) ◽  
Author(s):  
A. Veligura ◽  
H. J. van Elferen ◽  
N. Tombros ◽  
J. C. Maan ◽  
U. Zeitler ◽  
...  

2020 ◽  
Vol 29 (12) ◽  
pp. 127102
Author(s):  
Ming Zhang ◽  
Yu Zhang ◽  
Chen Lu ◽  
Wei-Qiang Chen ◽  
Fan Yang

2017 ◽  
Vol 119 (17) ◽  
Author(s):  
Maria Hellgren ◽  
Jacopo Baima ◽  
Raffaello Bianco ◽  
Matteo Calandra ◽  
Francesco Mauri ◽  
...  

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