A grid of quantum islands could reveal secrets for powerful technologies NIST acsnano NatureComms
Fig. 1: 2D dopant-based quantum dot arrays as a platform for simulating the extended Fermi-Hubbard model.Schematic of the experimental Fermi-Hubbard system composed of a 3 × 3 array of single/few-dopant quantum dots coupled to in-plane gates and source-drain leads, allowing transport measurements through the array. The number of electrons and dopant atoms at each array site in this schematic have been arbitrarily assigned for illustration purposes.
$$\begin{array}{c}H={H}_{\mu }+{H}_{t}+{H}_{U}\\ {H}_{\mu }=\mathop{\sum}\limits _{i\sigma }{\mu }_{i}{n}_{i\sigma }=\mathop{\sum}\limits _{i\sigma }{n}_{i\sigma }\\ {H}_{t}=\mathop{\sum}\limits _{\langle i,j\rangle,\sigma }\\ {H}_{U}=\mathop{\sum}\limits _{i}{U}_{i}{n}_{i;&#xparrow }{n}_{i\downarrow }+\mathop{\sum}\limits _{i,j,\,i\ne j}{U}_{i,j}{n}_{i}{n}_{j}\end{array}$$and the electron-electron interaction energy terms...
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