66 citations · 250 across the 8 of their papers we have counts for
8 papers
Tunable single particle and many body physics in graphene
Matthew Killi
This thesis studies how the rudimentary attributes of graphene's charge carriers, and local moments on its surface, can be directly manipulated and controlled with electrostatic po…
Anisotropic quantum quench in the presence of frustration or background gauge fields: A probe of bulk currents and topological chiral edge modes
Matthew Killi, Stefan Trotzky, Arun Paramekanti
Bosons and fermions, in the presence of frustration or background gauge fields, can form manybody ground states that support equilibrium 'charge' or 'spin' currents. Motivated by t…
Graphene: Kinks, Superlattices, Landau levels, and Magnetotransport
Matthew Killi, Si Wu, Arun Paramekanti
We review recent work on superlattices in monolayer and bilayer graphene. We highlight the role of the quasiparticle chirality in generating new Dirac fermion modes with tunable an…
Use of quantum quenches to probe the equilibrium current patterns of ultracold atoms in an optical lattice
Matthew Killi, Arun Paramekanti
Atomic bosons and fermions in an optical lattice can realize a variety of interesting condensed matter states that support equilibrium current patterns in the presence of synthetic…
Graphene under spatially varying external potentials: Landau levels, magnetotransport, and topological modes
Si Wu, Matthew Killi, Arun Paramekanti
Superlattices (SLs) in monolayer and bilayer graphene, formed by spatially periodic potential variations, lead to a modified bandstructure with extra finite-energy and zero-energy…
Band structures of bilayer graphene superlattices
Matthew Killi, Si Wu, Arun Paramekanti
We formulate a low energy effective Hamiltonian to study superlattices in bilayer graphene (BLG) using a minimal model which supports quadratic band touching points. We show that a…
Electric field control of spins in bilayer graphene: Local moment formation and local moment interactions
Matthew Killi, Dariush Heidarian, Arun Paramekanti
We study local moment formation for adatoms on bilayer graphene (BLG) within a mean-field theory of the Anderson impurity model. The wavefunctions of the BLG electrons induce stron…
Tunable Luttinger liquid physics in biased bilayer graphene
Matthew Killi, Tzu-Chieh Wei, Ian Affleck +1
Electronically gated bilayer graphene behaves as a tunable gap semiconductor under a uniform interlayer bias . Imposing a spatially varying bias, which changes polarity from…