Numerical method for non-linear steady-state transport in one-dimensional correlated conductors

Details Numerical method for non-linear steady-state transport in one-dimensional correlated conductors Numerical method for non-linear steady-state transport in one-dimensional correlated conductors

2012-01-25

arxiv.org/abs/1201.5323v1

Physics

Condensed Matter

Strongly Correlated Electrons

Scientific paper

We present a method for investigating the steady-state transport properties of one-dimensional correlated quantum systems. Using a procedure based on our analysis of finite-size effects in a related classical model (LC line) we show that stationary currents can be obtained from transient currents in finite systems driven out of equilibrium. The non-equilibrium dynamics of correlated quantum systems is calculated using the time-evolving block decimation method. To demonstrate our method we determine the full I-V characteristic of the spinless fermion model with nearest-neighbour hopping t_H and interaction V_H using two different setups to generate currents (turning on/off a potential bias). Our numerical results agree with exact results for non-interacting fermions (V_H=0). For interacting fermions we find that in the linear regime eV << 4t_H the current I is independent from the setup and our numerical data agree with the predictions of the Luttinger liquid theory combined with the Bethe Ansatz solution. For larger potentials V the steady-state current depends on the current-generating setup and as V increases we find a negative differential conductance with one setup while the currents saturate at finite values in the other one. Both effects are due to finite renormalized bandwidths.

Affiliated with

Also associated with

No associations

Rating

Numerical method for non-linear steady-state transport in one-dimensional correlated conductors does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Numerical method for non-linear steady-state transport in one-dimensional correlated conductors, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Numerical method for non-linear steady-state transport in one-dimensional correlated conductors will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-683704