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Malecki, Justin, Sela, Eran and Affleck, Ian (2010). Prospect for observing the quantum critical point in double quantum dot systems. Phys. Rev. B, 82 (20). COLLEGE PK: AMER PHYSICAL SOC. ISSN 1098-0121

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Abstract

The observation of the quantum critical point in a series double quantum dot system depends on the distinct separation of two scales, T(K) >> T*, where T(K) is the Kondo temperature and T* is the scale at which the system renormalizes away from the quantum critical point to a stable Fermi-liquid fixed point. Using the two-impurity Kondo model, we provide a derivation of T* based on the renormalization group (RG) to lowest order. This result is confirmed by a numerical RG (NRG) analysis which supplements the analytic derivation with additional quantitative precision. The form of the low-energy Fermi-liquid fixed point is derived and subsequently confirmed by the NRG. From this analysis, we conclude that the aforementioned separation of scales is satisfied, allowing the possibility that the quantum critical point may be measured in a future experiment on such double quantum dot systems.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Malecki, Justin UNSPECIFIED UNSPECIFIED UNSPECIFIED Sela, Eran UNSPECIFIED UNSPECIFIED UNSPECIFIED Affleck, Ian UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-492259
DOI:	10.1103/PhysRevB.82.205327
Journal or Publication Title:	Phys. Rev. B
Volume:	82
Number:	20
Date:	2010
Publisher:	AMER PHYSICAL SOC
Place of Publication:	COLLEGE PK
ISSN:	1098-0121
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language RENORMALIZATION-GROUP APPROACH; MAGNETIC IMPURITY PROBLEM; 2-IMPURITY KONDO MODEL; ANDERSON MODEL; STATIC PROPERTIES; ALLOYS Multiple languages Materials Science, Multidisciplinary; Physics, Applied; Physics, Condensed Matter Multiple languages
URI:	http://kups.ub.uni-koeln.de/id/eprint/49225