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Condensed Matter > Mesoscale and Nanoscale Physics
Title: Enhancement in tunneling density of states in Luttinger liquid -- role of non-local interaction
(Submitted on 24 Dec 2020 (v1), last revised 6 Jan 2023 (this version, v2))
Abstract: Power law suppression of local electronic tunneling density of states (TDOS) in the zero-energy limit is a hallmark of Luttinger liquid (LL) phase of the interacting 1-D electron system. We present a theoretical model which hosts LL state with the surprising feature of enhancement rather than suppression in local TDOS originating from non-local and repulsive density-density interactions. Importantly, we find enhancement of TDOS in the manifold of parameter space where the system is stable in the renormalization group (RG) sense. We argue that enhancement of TDOS along with RG stability is possible only when the system has broken parity symmetry about the position of local TDOS enhancement. Such a model could be realized on the edge states of a bi-layer quantum Hall system where both intra-layer and inter-layer density-density interactions are present mimicking the role of local and non-local interactions respectively.
Submission history
From: Amulya Ratnakar [view email][v1] Thu, 24 Dec 2020 19:00:04 GMT (1492kb,D)
[v2] Fri, 6 Jan 2023 08:08:12 GMT (1775kb,D)
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