Effective charging energy of the single electron box
| dc.creator | Werner, Philipp | |
| dc.creator | Troyer, Matthias | |
| dc.date | 2004-11-01 | |
| dc.date | 2004-12-17 | |
| dc.date.accessioned | 2026-07-07T06:29:17Z | |
| dc.date.available | 2026-07-07T06:29:17Z | |
| dc.description | We present numerical results on electron tunneling in a single-electron box at low temperature. The effective action of this device is equivalent to the Hamiltonian of a classical XY spin chain with long ranged interactions. Using an efficient cluster algorithm and a new transition matrix Monte Carlo approach, we are able to compute the effective charging energy $E_C^*$ in the limit of very small tunneling resistance. While previous Monte Carlo simulations were restricted to the weak and intermediate tunneling regimes, our method extends the range of $E_C^*$-values by more than 30 orders of magnitude. This allows us to clearly observe the exponential suppression of $E_C^*$ with increasing tunneling conductance $α$. For large, but fixed $α$, the correction to the leading exponential behavior exhibits a crossover from an intermediate temperature behavior at $βE_C^* \ll 1$, to zero temperature behavior at $βE_C^*\gg 1$. We determine this correction in both regimes and compare the numerical results to the numerous and controversial theoretical predictions for the strong tunneling limit. | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0411022 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0411022 | |
| dc.identifier | J. Stat. Mech. (2005) P01003 | |
| dc.identifier | doi:10.1088/1742-5468/2005/01/P01003 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/97974 | |
| dc.subject | Mesoscale and Nanoscale Physics | |
| dc.subject | Statistical Mechanics | |
| dc.title | Effective charging energy of the single electron box | |
| dc.type | text |