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Related papers: Impurity screening by defects in (1+1)$d$ quantum …

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We show that topology can protect exponentially localized, zero energy edge modes at critical points between one-dimensional symmetry protected topological phases. This is possible even without gapped degrees of freedom in the bulk ---in…

Mesoscale and Nanoscale Physics · Physics 2018-02-02 Ruben Verresen , Nick G. Jones , Frank Pollmann

We introduce exactly solvable gapless quantum systems in $d$ dimensions that support symmetry protected topological (SPT) edge modes. Our construction leads to long-range entangled, critical points or phases that can be interpreted as…

Strongly Correlated Electrons · Physics 2017-12-08 Thomas Scaffidi , Daniel E. Parker , Romain Vasseur

Screening of charge impurities in graphene is analyzed using the exact solution for vacuum polarization obtained from the massless Dirac-Kepler problem. For the impurity charge below certain critical value no density perturbation is found…

Mesoscale and Nanoscale Physics · Physics 2007-12-09 A. V. Shytov , M. I. Katsnelson , L. S. Levitov

We consider line defects with large quantum numbers in conformal field theories. First, we consider spin impurities, both for a free scalar triplet and in the Wilson-Fisher $O(3)$ model. For the free scalar triplet, we find a rich phase…

High Energy Physics - Theory · Physics 2022-07-06 Gabriel Cuomo , Zohar Komargodski , Márk Mezei , Avia Raviv-Moshe

In materials with strong local Coulomb interactions, simple defects such as atomic substitutions strongly affect both macroscopic and local properties of the system. A nonmagnetic impurity, for instance, is seen to induce magnetism nearby.…

Strongly Correlated Electrons · Physics 2015-05-13 H. Alloul , J. Bobroff , M. Gabay , P. J. Hirschfeld

The effect of supercritical charge impurities in graphene is very similar to the supercritical atomic collapses in QED for Z > 137, but with a much lower critical charge. In this sense graphene can be considered as a natural testing ground…

Mesoscale and Nanoscale Physics · Physics 2020-05-12 Manuel Asorey , Alessandro Santagata

We theoretically study the quantum transport in a three-dimensional spin-1 chiral fermion system in the presence of coulomb impurities based on the self-consistent Born approximation. We find that the flat-band states anomalously enhance…

Mesoscale and Nanoscale Physics · Physics 2023-09-08 Risako Kikuchi , Ai Yamakage

We investigate the effective interaction between two localized spin impurities embedded in a frustrated spin-1/2 $J_1\!-\!J_2$ Heisenberg chain. Treating the impurity spins as classical moments coupled locally to the host, we combine…

Strongly Correlated Electrons · Physics 2026-02-25 Maksymilian Kliczkowski , Jakub Grabowski , Maciej M. Maśka

While non-Hermitian bulk systems and their sensitivity to boundary conditions have been extensively studied, how a non-Hermitian boundary affects the entanglement structure of Hermitian critical systems remains largely unexplored. Here we…

Quantum Physics · Physics 2025-10-20 Yao Zhou , Peng Ye

In this work we consider the influence of potential impurities deposited on top of two-dimensional chiral superconductors. As discovered recently, magnetic impurity lattices on an $s$-wave superconductor may give rise to a rich topological…

Mesoscale and Nanoscale Physics · Physics 2016-08-17 Vardan Kaladzhyan , Joel Röntynen , Pascal Simon , Teemu Ojanen

The entanglement entropy in Kondo impurity systems is studied analytically using conformal field theory. From the impurity contribution to the scaling corrections of the entanglement entropy we extract information about the screening cloud…

Strongly Correlated Electrons · Physics 2011-08-01 Erik Eriksson , Henrik Johannesson

Topological defects play a fundamental role in the investigation of symmetries in quantum field theories. For conformal field theories in two space-time dimensions, it is possible to construct these defects using lattice models allowing…

High Energy Physics - Theory · Physics 2026-04-30 Madhav Sinha , Thiago Silva Tavares , Hubert Saleur , Ananda Roy

We consider the screening of a magnetic impurity in a $d_{x^2-y^2}$ wave superconductor. The properties of the $d_{x^2-y^2}$ state lead to an unusual behavior in the impurity magnetic susceptibility, the impurity specific heat and in the…

Strongly Correlated Electrons · Physics 2009-10-30 Carlos R. Cassanello , Eduardo Fradkin

A quantum phase transition may occur in the ground state of a system at zero temperature when a controlling field or interaction is varied. The resulting quantum fluctuations which trigger the transition produce scaling behavior of various…

Strongly Correlated Electrons · Physics 2014-05-14 Abolfazl Bayat , Henrik Johannesson , Sougato Bose , Pasquale Sodano

Impurity nuclear spin relaxation is studied theoretically. A single impurity generates a bound state localized around the impurity atom in unconventional superconductors. With increasing impurity potential, the relaxation rate $T_1^{-1}$ is…

Superconductivity · Physics 2009-10-31 Masashige Matsumoto

We show that the infrared phases of certain line defects in 2+1d quantum field theories are determined by anomalies, including anomalies in the space of defect coupling constants, together with a symmetry-refined corollary of the…

High Energy Physics - Theory · Physics 2025-09-23 Zohar Komargodski , Fedor K. Popov , Brandon C. Rayhaun

We establish the emergence of a conformal field theory (CFT) in a (1+1)-dimensional hybrid quantum circuit right at the measurement-driven entanglement transition by revealing space-time conformal covariance of entanglement entropies and…

Quantum Physics · Physics 2021-09-15 Yaodong Li , Xiao Chen , Andreas W. W. Ludwig , Matthew P. A. Fisher

We derive universal constraints on $(1+1)d$ rational conformal field theories (CFTs) that can arise as transitions between topological theories protected by a global symmetry. The deformation away from criticality to the trivially gapped…

High Energy Physics - Theory · Physics 2022-10-05 Clay Cordova , Diego García-Sepúlveda

We study the low-temperature properties of a spin-\onehalf\ magnetic impurity coupled to a one-dimensional interacting electron system. Using the newly developed formalism by Affleck and Ludwig, with a scale invariant boundary condition…

Condensed Matter · Physics 2009-10-28 Per Frojdh , Henrik Johannesson

We investigate quantum impurity problems, where a local magnetic moment is coupled to the spin density of a bosonic environment, leading to bosonic versions of the standard Kondo and Anderson impurity models. In a physical situation, these…

Strongly Correlated Electrons · Physics 2008-11-26 Serge Florens , Lars Fritz , Matthias Vojta