Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2010-01-21
Phys. Rev. Lett. 105, 226803 (2010)
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
4 pages, 2 figures, final published version
Scientific paper
10.1103/PhysRevLett.105.226803
Conductance is related to dynamical correlation functions which can be calculated with \textit{time-dependent} methods. Using boundary conformal field theory, we relate the conductance tensors of quantum junctions of multiple wires to static correlation functions in a finite system. We then propose a general method for determining the conductance through \textit{time-independent} calculations alone. Applying the method to a Y-junction of interacting quantum wires, we numerically verify the theoretical prediction for the conductance of the chiral fixed-point of the Y-junction and then calculate the thus far unknown conductance of its M fixed point with time-independent density matrix renormalization group method.
Affleck Ian
Chamon Claudio
Feiguin Adrian
Hou Chang-Yu
Rahmani Armin
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