Ultracold atoms in a square lattice with spin-orbit coupling: Charge order, superfluidity, and topological signatures

P Rosenberg, H Shi, S Zhang - Physical Review Letters, 2017 - APS
We present an ab initio, numerically exact study of attractive fermions in square lattices with
Rashba spin-orbit coupling. The ground state of this system is a supersolid, with coexisting …

A PTAS for three-edge-connected survivable network design in planar graphs

G Borradaile, B Zheng - Approximation, Randomization, and …, 2017 - drops.dagstuhl.de
We consider the problem of finding the minimum-weight subgraph that satisfies given
connectivity requirements. Specifically, given a requirement r in {0, 1, 2, 3} for every vertex …

Approximation schemes in planar graphs

B Zheng - 2018 - ir.library.oregonstate.edu
There are growing interests in designing polynomial-time approximation schemes (PTAS)
for optimization problems in planar graphs. Many NP-hard problems are shown to admit …

Computational Studies of Strongly Correlated Quantum Matter

H Shi - 2017 - scholarworks.wm.edu
The study of strongly correlated quantum many-body systems is an outstanding challenge.
Highly accurate results are needed for the understanding of practical and fundamental …