Table 3 Layer resolved valley polarization for the ground states at filling -3 under different Ud. \({\xi }_{z}^{s}=\mathop{\sum }\nolimits_{l = 1}^{5}{\xi }_{z}(l)/5\), and \({\xi }_{z}^{a}={\sum }_{l\ne 3}{{{\rm{sgn}}}}[(l-3)]({\xi }_{z}(l)-{\xi }_{z}^{s})/4\).

From: Alternating twisted multilayer graphene: generic partition rules, double flat bands, and orbital magnetoelectric effect

Ud (eV)

0

0.005

0.010

0.015

0.020

ξz(1)

−0.0994

−0.1690

−0.2556

−0.2724

−0.2792

ξz(2)

−0.0996

−0.1676

−0.2547

−0.2720

−0.2780

ξz(3)

−0.0065

0.0023

−0.0685

−0.1317

−0.1469

ξz(4)

−0.1003

−0.1309

−0.1683

−0.1626

−0.1482

ξz(5)

−0.1000

−0.1309

−0.1674

−0.1617

−0.1477

\({\xi }_{z}^{s}\)

−0.0998

−0.1496

−0.2115

−0.2172

−0.2133

\({\xi }_{z}^{a}\)

0.0003

0.0187

0.0437

0.0550

0.0653