Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Bulletin of the American Physical Society

Fermi liquid nature of the ground state of multiple-quantum dots in parallel

Manas Kulkarni, Robert Konik

Published Mar 19, 2013• 0 citations
OpenAlex

Related papers

Non Fermi-Liquids in multi Quantum dots heterostructures

Yuval Oreg, David Goldhaber‐Gordon

APS•Mar 1, 2002•0 citations

Regular and singular Fermi liquid in triple quantum dots: Coherent transport studies

S. B. Tooski, A. Ramšak, Bogdan R. Bułka

arXiv:1511.01235•Physica E Low-dimensional Systems and Nanostructures•Oct 8, 2015•14 citations

SU(4) Fermi liquid state in a Double Quantum Dot System

Walter Hofstetter, L. Borda, Gergely Zaránd +2 more

APS•Mar 1, 2003•0 citations

The Renormalization Group Approach – From Fermi Liquids to Quantum Dots

R. Shankar

arXiv:cond-mat/0407127•Lecture notes in physics•Mar 4, 2005•0 citations

The Fermi liquid nature of the ground state of double quantum dots in parallel from a 1/N expansion

Manas Kulkarni, Robert Konik

A large-N diagrammatic approach is used to study coupled quantum dots in a parallel geometry. We show that the Friedel sum rule (FSR) holds at lowest order in a 1/N expansion for this system, thereby suggesting that the ground state is a Fermi liquid. Using the FSR together with the dot occupancy, we compute the dot system's conductance. Our finding that the 1/N expansion indicates the system is a Fermi liquid is in agreement with both prior results based on the Bethe ansatz and slave boson mean field theory.

arXiv:1109.5731•Sep 26, 2011•1 citation

RKKY interaction and the nature of the ground state of double dots in parallel

Manas Kulkarni, Robert Konik

We argue through a combination of slave-boson mean-field theory and the Bethe ansatz that the ground state of closely spaced double quantum dots in parallel coupled to a single effective channel are Fermi liquids. We do so by studying the dots' conductance, impurity entropy, and spin correlation. In particular, we find that the zero-temperature conductance is characterized by the Friedel sum rule, a hallmark of Fermi-liquid physics, and that the impurity entropy vanishes in the limit of zero temperature, indicating that the ground state is a singlet. This conclusion is in opposition to a number of numerical renormalization-group studies. We suggest a possible reason for the discrepancy.

arXiv:1012.1044•Physical Review B•Jun 23, 2011•5 citations
A large-N diagrammatic approach is used to study coupled quantum dots in a parallel geometry. We show that the Friedel sum rule (FSR) holds at lowest order in a 1/N expansion for this system, thereby suggesting that the ground state is a Fermi liquid. Using the FSR together with the dot occupancy, we compute the dot system's conductance. Our finding that the 1/N expansion indicates the system is a Fermi liquid is in agreement with both prior results based on the Bethe ansatz and slave boson mean field theory.
We argue through a combination of slave-boson mean-field theory and the Bethe ansatz that the ground state of closely spaced double quantum dots in parallel coupled to a single effective channel are Fermi liquids. We do so by studying the dots' conductance, impurity entropy, and spin correlation. In particular, we find that the zero-temperature conductance is characterized by the Friedel sum rule, a hallmark of Fermi-liquid physics, and that the impurity entropy vanishes in the limit of zero temperature, indicating that the ground state is a singlet. This conclusion is in opposition to a number of numerical renormalization-group studies. We suggest a possible reason for the discrepancy.