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The diffusive regime of disordered quantum wires

Mathematical Physics & Probability

Speaker: Sven Bachmann, UC Davis
Location: 1147 MSB
Start time: Wed, Nov 28 2012, 4:10PM

In this talk, I will describe the transport properties of a disordered quantum wire. As a function of the wire's length, its transfer matrix satisfies a stochastic differential equation in the weak coupling limit. The random motion of its eigenvalues implies in particular the linear decay of the conductance in the appropriate thick wire limit. Further, I will discuss the emergence of this macroscopic behaviour from a microscopic dynamics.