Interacting fermionic ladders are versatile platforms to study quantum phases of matter, such
as different types of Mott insulators. In particular, there are D-Mott and S-Mott states that hold …

By using a combination of several nonperturbative techniques—a one-dimensional field
theoretical approach together with numerical simulations using density-matrix …

We investigate competing insulating phases in nearly metallic zigzag carbon nanotubes,
under conditions where an applied magnetic flux approximately closes the single-particle …

The classical ground state magnetic response of fullerene molecules that resemble capped
carbon nanotubes is calculated within the framework of the antiferromagnetic Heisenberg …

A Hamiltonian is derived for a zigzag carbon nanotube with an arbitrary number of weak
electron-electron charge and spin interactions, which become significant in ultraclean …

We derive a Hamiltonian for a two-leg ladder which includes an arbitrary number of charge
and spin interactions which must be weak but are otherwise of arbitrary strength. To illustrate …

We investigate the effect of electron-phonon coupling on low-temperature phases in metallic
single-wall carbon nanotubes. We obtain low-temperature phase diagrams of armchair and …

The phase diagram for the interacting fermions in weak coupling is described by the
perturbative renormalization group equations. Due to the lack of analytic solutions for these …

In previous studies, we proposed a scaling ansatz for electron-electron interactions under
renormalization group transformation. With the inclusion of phonon-mediated interactions …

In band structure calculations commonly used to derive the electronic properties of carbon
nanotubes, it is generally assumed that all bond lengths are equal. However, hexagonal …