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We show that multiple point contacts on a barrier separating two laterally coupled quantum Hall fluids induce Aharonov-Bohm (AB) oscillations in the tunneling conductance. These quantum coherence effects provide new evidence for the…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Eun-Ah Kim , Eduardo Fradkin

We consider the superconducting proximity effect in a helical Luttinger liquid at the edge of a 2D topological insulator, and derive the low-energy Hamiltonian for an edge state tunnel-coupled to a s-wave superconductor. In addition to…

Mesoscale and Nanoscale Physics · Physics 2012-01-23 Pauli Virtanen , Patrik Recher

Thermodynamic properties of the one-dimensional Kondo lattice model at half-filling are studied by the density matrix renormalization group method applied to the quantum transfer matrix. Spin susceptibility, charge susceptibility, and…

Strongly Correlated Electrons · Physics 2007-05-23 N. Shibata , B. Ammon , M. Troyer , M. Sigrist , K. Ueda

We investigate the Kondo Lattice Model on 2D clusters using the Finite Temperature Lanczos Method. The temperature dependence of thermodynamic and correlations functions are systematically studied for various Kondo couplings JK. The ground…

Strongly Correlated Electrons · Physics 2009-11-11 Ivica Zerec , Burkhard Schmidt , Peter Thalmeier

We investigate theoretically the possibility of observing two-channel Kondo (2CK) physics in tunnel-coupled double quantum dots (TCDQDs), at both zero and finite magnetic fields; taking the two-impurity Anderson model (2AIM) as the basic…

Strongly Correlated Electrons · Physics 2011-11-03 Frederic W. Jayatilaka , Martin R. Galpin , David E. Logan

The quantum phase transition from a spin-Peierls phase with a small Fermi surface to a paramagnetic Luttinger-liquid phase with a large Fermi surface is studied in the framework of a one-dimensional Kondo-Heisenberg model that consists of…

Strongly Correlated Electrons · Physics 2015-05-27 Eitan Eidelstein , S. Moukouri , Avraham Schiller

One of the most remarkable results of quantum mechanics is the fact that many-body quantum systems may exhibit phase transitions even at zero temperature. Quantum fluctuations, deeply rooted in Heisenberg's uncertainty principle, and not…

An interacting one-dimensional electron system, the Luttinger liquid, is distinct from the "conventional" Fermi liquids formed by interacting electrons in two and three dimensions. Some of its most spectacular properties are revealed in the…

We study the low-temperature properties of a one-dimensional spin-1/2 chain of magnetic impurities coupled to a (normal) metal environment by means of anisotropic Kondo exchange. In the case of easy-plane anisotropy, we obtain the phase…

Mesoscale and Nanoscale Physics · Physics 2012-09-03 Alejandro M. Lobos , Miguel A. Cazalilla , Piotr Chudzinski

We demonstrate a tunable Kondo effect realized in small quantum dots. We can switch our dot from a Kondo impurity to a non-Kondo system as the number of electrons on the dot is changed from odd to even. We show that the Kondo temperature…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Sara M. Cronenwett , Tjerk H. Oosterkamp , Leo P. Kouwenhoven

We analyze the transport properties of a double quantum dot device in the side-coupled configuration. A small quantum dot (QD), having a single relevant electronic level, is coupled to source and drain electrodes. A larger QD, whose…

Mesoscale and Nanoscale Physics · Physics 2014-03-12 J. A. Andrade , Pablo S. Cornaglia , A. A. Aligia

We investigate the influence of an electromagnetic environment, characterized by a finite impedance $Z(\omega)$, on the Kondo effect in quantum dots. The circuit voltage fluctuations couple to charge fluctuations in the dot and influence…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 Serge Florens , Pascal Simon , Sabine Andergassen , Denis Feinberg

We discuss the realization of the quantum-critical non-Fermi liquid state, originally discovered within the two-impurity Kondo model, in double quantum-dot systems. Contrary to the common belief, the corresponding fixed point is robust…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Gergely Zarand , Chung-Hou Chung , Pascal Simon , Matthias Vojta

We study tunneling through a resonant level connected to two dissipative bosonic baths: one is the resistive environment of the source and drain leads, while the second comes from coupling to potential fluctuations on a resistive gate. We…

Mesoscale and Nanoscale Physics · Physics 2014-08-22 Dong E. Liu , Huaixiu Zheng , Gleb Finkelstein , Harold U. Baranger

Using unitary transformations, we express the Kondo lattice Hamiltonian in terms of fermionic operators that annihilate the ground state of the interacting system and that represent the best possible approximations to the actual charged…

Condensed Matter · Physics 2009-10-28 J. M. Prats , F. Lopez-Aguilar

We study a quantum dot connected to the bulk by single-mode junctions at almost perfect conductance. Although the average charge $e\langle N \rangle$ of the dot is not discrete, its spin remains quantized: $s=1/2$ or $s=0$, depending…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 L. I. Glazman , F. W. J. Hekking , A. I. Larkin

We study the problem of a boundary magnetic impurity coupled with the solvable $t-J$ chains. Our model provides a good start point to understand the Kondo problem in a Luttinger liquid as well as in a strongly correlated host. The Kondo…

Strongly Correlated Electrons · Physics 2007-05-23 Jianhui Dai , Yupeng Wang

One-dimensional (1D) electron systems in the presence of Coulomb interaction are described by Luttinger liquid theory. The strength of Coulomb interaction in the Luttinger liquid, as parameterized by the Luttinger parameter K, is in general…

Strongly Correlated Electrons · Physics 2017-06-21 Tobias Müller , Ronny Thomale , Björn Trauzettel , Erwann Bocquillon , Oleksiy Kashuba

In this work, a multichannel Kondo lattice model is studied in the thermodynamic limit. The conduction band is described by a constant hopping amplitude between any pair of lattice sites. For this system, we have obtained the exact…

Condensed Matter · Physics 2008-02-03 C. -A. Piguet , D. F. Wang , C. Gruber

A quantum Monte Carlo simulation method has been developed and applied to study the critical behavior of a single Kondo impurity in a Luttinger liquid. This numerically exact method has no finite-size limitations and allows to simulate the…

Strongly Correlated Electrons · Physics 2009-10-30 Reinhold Egger , Andrei Komnik