Quantum dot in interacting environments Article Swipe
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· 2018
· Open Access
·
· DOI: https://doi.org/10.1103/physrevb.97.155426
· OA: W2749823268
A quantum impurity attached to an interacting quantum wire gives rise to an\narray of of new phenomena. Using Bethe Ansatz we solve exactly models\ndescribing two geometries of a quantum dot coupled to an interacting quantum\nwire: a quantum dot that is (i) side-coupled and (ii) embedded in a Luttinger\nliquid. We find the eigenstates and determine the spectrum through the Bethe\nAnsatz equations. Using this we derive exact expressions for the ground state\ndot occupation. The thermodynamics are then studied using the thermodynamics\nBethe Ansatz equations. It is shown that at low energies the dot becomes fully\nhybridized and acts as a backscattering impurity or tunnel junction depending\non the geometry and furthermore that the two geometries are related by changing\nthe sign of the interactions. Although remaining strongly coupled for all\nvalues of the interaction in the wire, there exists competition between the\ntunneling and backscattering leading to a suppression or enhancement of the dot\noccupation depending on the sign of the bulk interactions.\n
