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Motivated by recent experiments we consider transport across an interacting magnetic impurity coupled to the Majorana zero mode (MZM) observed at the boundary of a topological superconductor (SC). In the presence of a finite tunneling…

Mesoscale and Nanoscale Physics · Physics 2022-03-11 Daniele Guerci , Andrea Nava

We consider an array of N quantum dot pairs interacting via Coulomb interaction between adjacent dots and hopping inside each pair. We show that at the first order in the ratio of hopping and interaction amplitudes, the array maps in an…

Mesoscale and Nanoscale Physics · Physics 2007-06-28 F. de Pasquale , G. Giorgi , S. Paganelli

I analyze the emergence of Majorana zero modes (MZM) in a one dimensional ultracold fermionic system confined by an optical lattice inside a high-Q cavity. This forms a quantum optical lattice due to the cavity backaction, with emergent…

Quantum Gases · Physics 2024-08-19 Santiago F. Caballero-Benitez

We investigate the modification of discrete scale invariance in the bound state spectrum by long-range interactions. This problem is relevant for effective field theory descriptions of nuclear cluster states and manifestations of the Efimov…

Nuclear Theory · Physics 2008-11-26 H. -W. Hammer , R. Higa

Topological phases in one-dimensional superconducting systems are commonly characterized by symmetry-protected invariants. These invariants determine the number of Majorana zero-energy boundary modes but do not specify their corresponding…

Other Condensed Matter · Physics 2026-05-11 Vijay Pathak , Vaishnav Mallya , Sujit Sarkar

Exact electronic properties of a system of four Coulomb-interacting two-dimensional electrons in a parabolic confinement are reported. We show that degenerate ground states of this system are characterized by qualitatively different…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 S. A. Mikhailov

Semiconductor-s-type superconductor nanowires host spinful fermions and cannot be reduced to a single spinless Kitaev chain hosting single Majorana zero mode. Instead, such systems can be converted into two coupled p-wave Kitaev-like chains…

Mesoscale and Nanoscale Physics · Physics 2026-01-28 Mijanur Islam , Mahan Mohseni , Ibsal Assi , Daniel Miravet , Pawel Hawrylak

We identify universal properties of the low-energy subspace of a wide class of quantum optical models in the ultrastrong coupling limit, where the coupling strength dominates over all other energy scales in the system. We show that the…

Quantum Physics · Physics 2020-02-05 Simone Felicetti , Alexandre Le Boité

We present an analytical solution for the full spectrum of Kitaev's one-dimensional p-wave superconductor with arbitrary hopping, pairing amplitude and chemical potential in the case of an open chain. We also discuss the structure of the…

Mesoscale and Nanoscale Physics · Physics 2018-04-12 Iman Mahyaeh , Eddy Ardonne

This paper studies an extended Kitaev chain with three sublattices per unit cell. This extended version is obtained by hybridizing a modified Su-Schrieffer-Heeger model featuring trimerized unit cells with the standard Kitaev chain,…

Mesoscale and Nanoscale Physics · Physics 2026-02-13 Mohammad Ghuneim , Raditya Weda Bomantara

The Kitaev superconducting chain is a model of spinless fermions with triplet-like superconductivity. It has raised interest since for some values of its parameters it presents a non-trivial topological phase that host Majorana fermions.…

Superconductivity · Physics 2024-03-22 Edine Silva , R. C. Bento Ribeiro , Heron Caldas , Mucio A. Continentino

We study the quantum critical behavior of networks consisting of Lipkin-Meshkov-Glick models with an anisotropic ferromagnetic coupling. We focus on the low-energy properties of the system within a mean-field approach and the quantum…

Quantum Gases · Physics 2014-11-05 A. V. Sorokin , V. M. Bastidas , T. Brandes

We study the transient phenomena appearing in a subgap region of the double quantum dot coupled in series between the superconducting and normal metallic leads, focusing on the development of the superconducting proximity effect. For the…

Mesoscale and Nanoscale Physics · Physics 2021-05-03 R. Taranko , K. Wrześniewski , B. Baran , I. Weymann , T. Domański

We study theoretically the effects of long-range and on-site Coulomb interactions on the topological phases and transport properties of spin-orbit-coupled quasi-one-dimensional quantum wires imposed on an s-wave superconductor. The…

Superconductivity · Physics 2016-10-12 Hengyi Xu , Ye Xiong , Jun Wang

If a quantum dot is coupled to a topological superconductor via tunneling contacts, each contact hosts a Majorana zero mode in the limit of zero transmission. Close to a resonance and at a finite contact transparency, the resonant level in…

Mesoscale and Nanoscale Physics · Physics 2024-06-11 Max Geier , Svend Krøjer , Felix von Oppen , Charles M. Marcus , Karsten Flensberg , Piet W. Brouwer

We investigate theoretically the thermoelectric transport properties of a T-shaped double quantum dot side-coupled to a topological superconducting nanowire hosting Majorana zero-energy modes. The calculations are performed using the…

Mesoscale and Nanoscale Physics · Physics 2022-02-21 Piotr Majek , Krzysztof P. Wójcik , Ireneusz Weymann

We introduce non-Hermitian generalizations of Majorana zero modes (MZMs) which appear in the topological phase of a weakly dissipative Kitaev chain coupled to a Markovian bath. Notably, the presence of MZMs ensures that the steady state in…

Mesoscale and Nanoscale Physics · Physics 2019-08-07 Simon Lieu

Recently, the two-site Kitaev model hosting Majorana edge states was experimentally realized based on double quantum dots. In this context, we construct two-band effective models describing Majorana edge states of a finite-length Kitaev…

Superconductivity · Physics 2024-05-24 Motohiko Ezawa

We consider a strong coupling expansion for a two-band Hubbard model on two sites with nearly degenerate states. A comparative analysis is performed for different schemes of perturbation theory which are applicable to systems with nearly…

Strongly Correlated Electrons · Physics 2012-08-30 Raymond Fresard , Christian Hackenberger , Thilo Kopp

The hybrid combination of superconductors and low-dimensional semiconductors offers a versatile ground for novel device concepts, such as sources of spin-entangled electrons, nanoscale superconducting magnetometers, or recently proposed…

Mesoscale and Nanoscale Physics · Physics 2014-01-24 Eduardo J. H. Lee , Xiaocheng Jiang , Manuel Houzet , Ramon Aguado , Charles M. Lieber , Silvano De Franceschi