Junctions of nanowires
The assembly of nanometer material structures, at scales intermediate between those of condensed matter and atomic systems, brings the promise of revolutionary new devices. But at the same time, many fundamental science problems are brought out into light, such as how to describe the collective quantum behavior of interacting electrons when they are confined to geometries at the nanometer scale. In this research work, I address a number of basic science questions that pertain to problem of interconnection and integration of nano-circuits.
In this work, we investigate Y-junctions of three quantum wires, attached to a ring through which magnetic flux can be inserted. These Y-junctions are the simplest systems with a fermion sign problem.
Publications:
Junctions of three quantum wires and the dissipative Hofstadter model
Claudio Chamon, Masaki Oshikawa, and Ian Affleck,
Phys. Rev. Lett. 91 (2003) 206403
Junctions of three quantum wires
Masaki Oshikawa, Claudio Chamon, and Ian Affleck,
J.Stat.Mech. 0602 (2006) P008
Junctions of three quantum wires for spin 1/2 electrons
Chang-Yu Hou and Claudio Chamon,
Phys. Rev. B 77 155422 (2008)
How to find conductance tensors of quantum multi-wire junctions through static calculations: application to an interacting Y-junction
A. Rahmani, C.-Y. Hou, A. Feiguin, C. Chamon, and I. Affleck,
Phys. Rev. Lett. 105, 226803 (2010)
General method for calculating the universal conductance of strongly correlated junctions of multiple quantum wires
A. Rahmani, C.-Y. Hou, A. Feiguin, M. Oshikawa, C. Chamon, and I. Affleck,
Phys. Rev. B 85, 045120 (2012)
Junctions of multiple quantum wires with different Luttinger parameters
C.-Y. Hou, A. Rahmani, A. E. Feiguin, and C. Chamon,
Phys. Rev. B 86, 075451 (2012)