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We discuss the Luttinger Liquid behaviour of a semiconducting Quantum Wire. We show that the measured value of the bulk critical exponent, $\alpha_{bulk}$, for the tunneling density of states can be easily calculated. Then, the problem of…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 S. Bellucci , P. Onorato

We consider a quantum dot with ${\cal K}{\geq} 2$ orbital levels occupied by two electrons connected to two electric terminals. The generic model is given by a multi-level Anderson Hamiltonian. The weak-coupling theory at the particle-hole…

Mesoscale and Nanoscale Physics · Physics 2018-05-04 D. B. Karki , Christophe Mora , Jan von Delft , Mikhail N. Kiselev

We address the problem of the Fermi surface renormalization and the quantum confinement regime (QCR) in the two coupled chains model(TCCM) of spinless fermions. We perform a self-consistent calculation of the renormalization group(RG) flows…

Strongly Correlated Electrons · Physics 2014-03-11 Eberth Correa , Alvaro Ferraz

Many correlated metallic materials are described by Landau Fermi-liquid theory at low energies, but for Hund metals the Fermi-liquid coherence scale $T_{\text{FL}}$ is found to be surprisingly small. In this Letter, we study the simplest…

Strongly Correlated Electrons · Physics 2020-04-08 Y. Wang , E. Walter , S. -S. B. Lee , K. M. Stadler , J. von Delft , A. Weichselbaum , G. Kotliar

We study the effect of a dot-lead interaction on transport through a quantum dot hybridized to two semi-infinite Luttinger-liquid leads. A bosonization approach is applied to treat the interaction between charge fluctuations on the dot and…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 Florian Elste , David R. Reichman , Andrew J. Millis

We study the effect of electron hopping in triple quantum dots modelled by the three-impurity Anderson model. We determine the range of hopping parameters where the system exhibits the two-channel Kondo effect and has non-Fermi-liquid…

Strongly Correlated Electrons · Physics 2007-06-13 Rok Zitko , Janez Bonca

We compare two fermionic renormalization group methods which have been used to investigate the electronic transport properties of one-dimensional metals with two-particle interaction (Luttinger liquids) and local inhomogeneities. The first…

Strongly Correlated Electrons · Physics 2008-05-02 V. Meden , S. Andergassen , T. Enss , H. Schoeller , K. Schoenhammer

We study the interplay between the Kondo and Andreev-Josephson effects in a quantum dot coupled to one normal and two superconducting (SC) leads. In the large gap limit, the low-energy states of this system can be described exactly by a…

Mesoscale and Nanoscale Physics · Physics 2015-06-03 Akira Oguri , Yoichi Tanaka

The concepts of deconfinement and topological order are of great current interest for quantum information science and for our understanding of quantum materials. Here, we introduce a simple model of three antiferromagnetically coupled Kondo…

Strongly Correlated Electrons · Physics 2021-09-08 Elio J. König , Piers Coleman , Yashar Komijani

The transport across a Kondo-correlated quantum dot coupled to two leads with independent temperatures and chemical potentials is studied using a controlled non-perturbative, and in this sense exact numeric treatment based on a hybrid…

Mesoscale and Nanoscale Physics · Physics 2024-09-26 Anand Manaparambil , Andreas Weichselbaum , Jan von Delft , Ireneusz Weymann

We theoretically show that intriguing features of coherent many-body physics can be observed in electron transport through a quantum dot (QD). We first derive a master equation based framework for electron transport in the Coulomb-blockade…

Mesoscale and Nanoscale Physics · Physics 2012-09-03 Martin J. A. Schuetz , Eric M. Kessler , J. Ignacio Cirac , Geza Giedke

Strongly interacting electron systems can provide insight into quantum many-body phenomena, such as Mott insulating behavior and spin liquidity, facilitating semiconductor optimization. The Fermi-Hubbard model is the prototypical model used…

Mesoscale and Nanoscale Physics · Physics 2024-02-08 Sumedh Vangara

We analyze theoretically and experimentally the electronic structure and charging diagram of three coupled lateral quantum dots filled with electrons. Using the Hubbard model and real-space exact diagonalization techniques we show that the…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 Marek Korkusinski , Irene Puerto Gimenez , Pawel Hawrylak , Louis Gaudreau , Sergei A. Studenikin , Andrew S. Sachrajda

We introduce a new model for quasi one-dimensional materials, motivated by intriguing but not yet well-understood experiments that have shown two-dimensional polymer films to be promising materials for thermoelectric devices. We consider a…

Strongly Correlated Electrons · Physics 2017-03-08 Aaron Szasz , Roni Ilan , Joel E. Moore

In a previous paper [J.-M. Bischoff and E. Jeckelmann, Phys. Rev. B 96, 195111 (2017)] we introduced a density-matrix renormalization group method for calculating the linear conductance of one-dimensional correlated quantum systems and…

Strongly Correlated Electrons · Physics 2019-08-30 Jan Bischoff , Eric Jeckelmann

The linear and nonlinear transport through a multi-level lateral quantum dot connected to two leads is investigated using a generalized finite-$U$ slave-boson mean field approach. For a two-level quantum dot, our calculation demonstrates a…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Bing Dong , X. L. Lei

We study the quantum transport in double quantum dots (DQD) sandwiched between surfaces of topological insulator (TI) Bi$_{2}$Te$_{3}$, which possess strong spin-orbit coupling (SOC) and $^{d}$C$_{3v}$ double group symmetry. Different from…

Mesoscale and Nanoscale Physics · Physics 2025-04-21 Yuan Hong , Zhen-Guo Fu , Zhou-Wei-Yu Chen , Feng Chi , Zhigang Wang , Wei Zhang , Ping Zhang

We study crossed Andreev reflection occurring in quantum dots connected to one superconducting lead and two normal leads at low temperatures $T$. Specifically, we derive an exact formula for the conductance up to order $T^2$ in the large…

Mesoscale and Nanoscale Physics · Physics 2026-02-17 Akira Oguri , Masashi Hashimoto , Yoshimichi Teratani

We develop a theory for a generic instability of a Fermi liquid in dimension d>1 against the formation of a Luttinger-liquid-like state. The density of states at the Fermi level is the order parameter for the ensuing quantum phase…

Strongly Correlated Electrons · Physics 2013-10-01 T. R. Kirkpatrick , D. Belitz

We consider possible superconducting instabilities in a two-dimensional Fermi system with short-ranged repulsive interactions between electrons. The possibility of an unusual superconducting paring due to the Kohn-Luttinger mechanism is…

Superconductivity · Physics 2009-11-07 Victor Galitski , S. Das Sarma
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