Kondo effect in the isotropic Heisenberg spin chain

P Kattel, PR Pasnoori, JH Pixley, P Azaria, N Andrei - Physical Review B, 2024 - APS
We investigate the boundary effects that arise when spin-1 2 impurities interact with the
edges of the antiferromagnetic spin-1 2 Heisenberg chain through spin exchange …

The Kondo effect in the quantum XX spin chain

P Kattel, Y Tang, JH Pixley… - Journal of Physics A …, 2024 - iopscience.iop.org
We investigate the boundary phenomena that arise in a finite-size XX spin chain interacting
through an XX interaction with a spin -12 impurity located at its edge. Upon Jordan-Wigner …

Rise and fall of Yu-Shiba-Rusinov bound states in charge-conserving -wave one-dimensional superconductors

PR Pasnoori, N Andrei, C Rylands, P Azaria - Physical Review B, 2022 - APS
We re-examine the problem of a magnetic impurity coupled to a superconductor focusing on
the role of quantum fluctuations. We study in detail a system that consists of a one …

Boundary-induced topological and mid-gap states in charge conserving one-dimensional superconductors: Fractionalization transition

PR Pasnoori, N Andrei, P Azaria - Physical Review B, 2021 - APS
We investigate one-dimensional charge conserving, spin-singlet (SSS), and spin-triplet
(STS) superconductors in the presence of boundary fields. In systems with open boundary …

Localized electronic states induced by the presence of two defective resonators in electronic comb-like waveguides structure

S Machichi, T Touiss, FZ Elamri, A Ezzarfi… - Semiconductor …, 2024 - iopscience.iop.org
In this paper, we use the transfer matrix method to determine the band structure and
electrical transmission rate of a one-dimensional electronic comb-like waveguide system …

A spin chain with non-Hermitian symmetric boundary couplings: exact solution, dissipative Kondo effect, and phase transitions on the edge

P Kattel, PR Pasnoori, JH Pixley, N Andrei - arxiv preprint arxiv …, 2024 - arxiv.org
We construct an exactly solvable $\mathscr {PT}-$ symmetric non-Hermitian model where a
spin $-\frac {1}{2} $ isotropic quantum Heisenberg spin chain is coupled to two spin $-\frac …

Edge modes and boundary impurities in the anisotropic Heisenberg spin chain

P Kattel, PR Pasnoori, JH Pixley, N Andrei - arxiv preprint arxiv …, 2024 - arxiv.org
We present a comprehensive analysis of boundary phenomena in a spin-$\frac {1}{2} $
anisotropic Heisenberg chain (XXZ-$\frac {1}{2} $) in the gapped antiferromagnetic phase …

Overscreened spin- Kondo impurity and Shiba state at the edge of a one-dimensional spin-1 superconducting wire

P Kattel, A Zhakenov, N Andrei - arxiv preprint arxiv:2412.01924, 2024 - arxiv.org
We consider a model describing a system where the superconductivity competes with the
overscreened Kondo effect. The model consists of a single spin $-\frac {1}{2} $ quantum …

Boundary phenomena and phase transitions in strongly correlated one dimensional systems

PR Pasnoori - 2022 - search.proquest.com
One dimensional quantum systems exhibit many interesting physical phenomena as a result
of strong correlations. The gapped systems with symmetries exhibit exotic phases and are …

Sub-gap Fano resonances in a topological superconducting wire with on-site Coulomb interactions

P Stefański - Journal of Physics: Condensed Matter, 2021 - iopscience.iop.org
We consider theoretically a 1D-semiconducting wire with strong Rashba interaction in
proximity with s-wave superconductor, driven into topological phase by external magnetic …