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We study the electronic structure near impurities in the one-dimensional chains of YBa$_2$Cu$_3$O$_{6+x}$. Assuming chain superconductivity below $T_c$ due to a proximity coupling, we show that only a magnetic impurity induces resonance…

Strongly Correlated Electrons · Physics 2007-05-23 Dirk K. Morr , Alexander V. Balatsky

Using exact-diagonalization of small clusters and Dyson equation embedding techniques, the conductance $G$ of linear arrays of quantum dots is investigated. The Hubbard interaction induces Kondo peaks at low temperatures for an odd number…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 C. A. Büsser , Adriana Moreo , Elbio Dagotto

Quantum point contacts (QPC) are the building blocks of quantum dot qubits and semiconducting quantum electrical metrology circuits. QPCs also make highly sensitive electrical amplifiers with the potential to operate in the quantum-limited…

Mesoscale and Nanoscale Physics · Physics 2023-11-27 Anusha Shanmugam , Prasanta Kumbhakar , Harikrishnan Sundaresan , Annu Anns Sunny , J L Reno , Madhu Thalakulam

One considers the effect of disorder on the 2-dimensional density of states of an electron in a constant magnetic field superposed onto a Poissonnian random distribution of point vortices. If one restricts the electron Hilbert space to the…

Repeated observations of inhomogeneity in cuperate superconductors[1-5] make one immediately question the existance of coherent quasiparticles(qp's) and the applicability of a momentum space picture. Yet, obversations of interference…

Superconductivity · Physics 2010-04-13 Eun-Ah Kim , Michael J. Lawler

By considering transition-metal (Shiba-Rusinov model) and rare-earth metal impurities (Abrikosov-Gor'kov theory) effect on a many-body system, i.e., a BCS s-wave superconductor, quantum bipartite entanglement of two electrons of the Cooper…

Superconductivity · Physics 2020-12-01 N. Ebrahimian , M. Khosrojerdi , R. Afzali

We present a thermodynamic description of a single magnetic impurity at the edge of a superconducting wire. The impurity exhibits four phases $\unicode{x2014}$ Kondo, Yu-Shiba-Rusinov (YSR) I and II, and local moment $\unicode{x2014}$ a…

Strongly Correlated Electrons · Physics 2025-08-28 Pradip Kattel , Abay Zhakenov , Natan Andrei

Exact diagonalization studies of the level density in a six-electron quantum dot under magnetic fields around 7 T (``filling factor'' around 1/2) are reported. In any spin-polarization channel, two regimes are visible in the dot excitation…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Augusto Gonzalez , Roberto Capote

A consistent approach in forming the 0.7 structure by using a quantum dot rather than a quantum point contact is demonstrated. With this scheme, it was possible to tune on and off the 0.7 structure. The 0.7 structure continuously evolved…

Mesoscale and Nanoscale Physics · Physics 2008-06-11 Yunchul Chung , Sanghyun Jo , Dong-In Chang , Hu-Jong Lee , M. Zaffalon , V. Umansky , M. Heiblum

We demonstrate that conductance anomalies can arise in a clean, adiabatic quantum point contact when a channel is partially transmitting. Even for a smooth barrier potential, backscattering induces Friedel oscillations that, via electron…

Mesoscale and Nanoscale Physics · Physics 2026-05-14 Donghao Liu , Dmitri Gutman

We investigate in detail, using both analytical and numerical tools, the decoherence of electron spins in quantum dots (QDs) coupled to a bath of nuclear spins in magnetic fields or with various initial bath polarizations, focusing on the…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Wenxian Zhang , V. V. Dobrovitski , K. A. Al-Hassanieh , E. Dagotto , B. N. Harmon

The behavior of the residual (impurity-dominated) resistivity is computed for a material near a two dimensional quantum critical point characterized by a divergent $q=0$ susceptibility. A singular renormalization of the amplitude for…

Strongly Correlated Electrons · Physics 2009-11-07 Yong Baek Kim , A. J. Millis

We make a thorough study of the spreading of quantum coherence (QC), as quantified by the $l_{1}$-norm QC, when a qubit (a two-level quantum system) is subjected to noise quantum channels commonly appearing in quantum information science.…

Quantum Physics · Physics 2017-02-10 Mauro B. Pozzobom , Jonas Maziero

We show an electron interferometer between a quantum point contact (QPC) and a scanning gate microscope (SGM) tip in a two-dimensional electron gas. The QPC and SGM tip act as reflective barriers of a lossy cavity; the conductance through…

Mesoscale and Nanoscale Physics · Physics 2010-09-21 M. P. Jura , M. A. Topinka , M. Grobis , L. N. Pfeiffer , K. W. West , D. Goldhaber-Gordon

We study thermal quantum discord (TQD) in the Heisenberg chain with spin site or magnetic impurity. The former one of which may induce inhomogeneous exchange interactions between the neighboring spins, while the latter one modelling a spin…

Quantum Physics · Physics 2015-06-18 Jia-Min Gong , Zhan-Qiang Hui

The interplay of confinement and Coulomb interactions in quantum dots can lead to strongly correlated phases differing qualitatively from the Fermi liquid behavior. We explore how the presence of magnetic impurities in quantum dots can…

Mesoscale and Nanoscale Physics · Physics 2012-12-17 R. Oszwałdowski , P. Stano , A. G. Petukhov , Igor Žutić

Carbon nanotubes continue to be model systems for studies of confinement and interactions. This is particularly true in the case of so-called "ultra-clean" carbon nanotube devices offering the study of quantum dots with extremely low…

The conductance G of a pair of single-channel point contacts in series, one of which is a spin filter, increases from 1/2 to 2/3 x e^2/h with more and more spin-flip scattering. This excess conductance was observed in a quantum dot by…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 C. W. J. Beenakker

Despite topological protection and the absence of magnetic impurities, two-dimensional topological insulators display quantized conductance only in surprisingly short channels, which can be as short as 100 nm for atomically thin materials.…

Mesoscale and Nanoscale Physics · Physics 2019-01-08 Pietro Novelli , Fabio Taddei , Andre K. Geim , Marco Polini

Quantum detector properties of the quantum point contact (QPC) are analyzed for arbitrary electron transparency and coupling strength to the measured system and are shown to be determined by the electron counting statistics. Conditions of…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Dmitri V. Averin , Eugene V. Sukhorukov