In the 1D attractive Fermi polaron the quasi-particle residue decays as Z = W N^{-2 δ_F² / π²} with δ_F the Bethe-ansatz phase shift at the Fermi edge and W obtained numerically.
Affleck, Quantum impurity problems in condensed matter physics (2009), arXiv:0809.3474 [cond-mat.str-el]
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abstract
Impurities are ubiquitous in condensed matter. Boundary Conformal Field Theory (BCFT) provides a powerful method to study a localized quantum impurity interacting with a gapless continuum of excitations. The results can also be implied to nanoscopic devices like quantum dots. In these lecture notes, I review this field, including the following topics: I. General Renormalization Group (RG) framework for quantum impurity problems: example of simplest Kondo model II. Multi-channel Kondo model III. Quantum Dots: experimental realizations of one and two channel Kondo models IV. Impurities in Luttinger liquids: point contact in a quantum wire V. Quantum impurity entanglement entropy VI. Y-junctions of Luttinger liquids VII. Boundary condition changing operators and the X-ray edge problem.
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An algebraic RG formalism for topological orders uses ideals in fusion rings to encode noninvertible symmetries and condensation rules between anyons.
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Explicit proof of Anderson's orthogonality catastrophe for the one-dimensional Fermi polaron with attractive interaction
In the 1D attractive Fermi polaron the quasi-particle residue decays as Z = W N^{-2 δ_F² / π²} with δ_F the Bethe-ansatz phase shift at the Fermi edge and W obtained numerically.
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Homomorphism, substructure, and ideal: Elementary but rigorous aspects of renormalization group or hierarchical structure of topological orders
An algebraic RG formalism for topological orders uses ideals in fusion rings to encode noninvertible symmetries and condensation rules between anyons.