@article { ISI:000506811300021,
title = {Counting on Majorana modes},
journal = {Science},
volume = {367},
number = {6474},
year = {2020},
month = {JAN 10},
pages = {145},
publisher = {AMER ASSOC ADVANCEMENT SCIENCE},
type = {Article},
issn = {0036-8075},
doi = {10.1126/science.aaz9589},
author = {Sau, Jay}
}
@article {alavirad_ferromagnetism_2020,
title = {Ferromagnetism and its stability from the one-magnon spectrum in twisted bilayer graphene},
journal = {Phys. Rev. B},
volume = {102},
number = {23},
year = {2020},
note = {Place: ONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA Publisher: AMER PHYSICAL SOC Type: Article},
month = {dec},
abstract = {We study ferromagnetism and its stability in twisted bilayer graphene. We work with a Hubbard-like interaction that corresponds to the screened Coulomb interaction in a well-defined limit where the Thomas-Fermi screening length l(TF) is much larger than monolayer graphene{\textquoteright}s lattice spacing l(g) {\textless}{\textless} l(TF) and much smaller than the moire superlattice{\textquoteright}s spacing l(TF) {\textless}{\textless} l(moire). We show that in the perfectly flat band {\textquotedblleft}chiral{\textquotedblright} limit and at filling fractions +/- 3/4, the saturated ferromagnetic (spin- and valley-polarized) states are ideal ground-state candidates in the large band-gap limit. By assuming a large enough substrate (hBN) induced sublattice potential, the same argument can be applied to filling fractions +/- 1/4. We estimate the regime of stability of the ferromagnetic phase around the chiral limit by studying the exactly calculated spectrum of one-magnon excitations. The instability of the ferromagnetic state is signaled by a negative magnon excitation energy. This approach allows us to deform the results of the idealized chiral model (by increasing the bandwidth and/or modified interactions) toward more realistic systems. Furthermore, we use the low-energy part of the exact one-magnon spectrum to calculate the spin-stiffness of the Goldstone modes throughout the ferromagnetic phase. The calculated value of spin-stiffness can determine the excitation energy of charged skyrmions.},
issn = {2469-9950},
doi = {10.1103/PhysRevB.102.235123},
author = {Alavirad, Yahya and Sau, Jay}
}
@article {sau_anyons_2020,
title = {From anyons to {Majoranas}},
journal = {Nat. Rev. Phys.},
volume = {2},
number = {12},
year = {2020},
note = {Place: CAMPUS, 4 CRINAN ST, LONDON, N1 9XW, ENGLAND Publisher: SPRINGERNATURE Type: Editorial Material},
month = {dec},
pages = {667{\textendash}668},
abstract = {Key advances Beam-splitter and interferometric measurements in the quantum Hall regime provide the strongest experimental proof to date of exotic anyonic particles. Individual states inside superconducting vortices, called Caroli-de Gennes-Matricon states, have been experimentally observed in low-density topological superconductors. Access to the Caroli-de Gennes-Matricon states provides a new platform in which anyonic particles may be braided and detected in three dimensional topological superconductors. Anyons, particles that are neither bosons nor fermions, were predicted in the 1980s, but strong experimental evidence for the existence of the simplest type of anyons has only emerged this year. Further theoretical and experimental advances promise to nail the existence of more exotic types of anyons, such as Majorana fermions, which would make topological quantum computation possible. Strong experimental evidence for the existence of the simplest type of anyons (particles that are neither bosons nor fermions) has emerged this year. The next step is to uncover more exotic types of anyons, such as Majorana fermions.

},
doi = {10.1038/s42254-020-00251-9},
author = {Sau, Jay and Simon, Steven and Vishveshwara, Smitha and Williams, James R.}
}