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One of the methods used to extend two-dimensional bosonization to four space-time dimensions involves a transformation to new spatial variables so that only one of them appears kinematically. The problem is then reduced to an Abelian…

高能物理 - 理论 · 物理学 2007-05-23 Ramesh Abhiraman , Charles M. Sommerfield

We present in detail the bosonization-refermionization solution of the anisotropic version of the two-channel Anderson model at a particular manifold in the space of parameters of the theory, where we establish an equivalence with a…

强关联电子 · 物理学 2008-05-30 A. Iucci , C. J. Bolech

The bosonization of the $S=1/2$ anisotropic two-channel Kondo model is shown to yield two equivalent representations of the original problem. In a straight forward extension of the Emery-Kivelson approach, the interacting resonant level…

凝聚态物理 · 物理学 2009-10-28 A. J. Schofield

Capitalizing on recent work, that clarifies the consistent use of bosonization-debosonization methods to study Kondo-type quantum impurity models even in nonequilibrium settings, we revisit the compactification procedure of the two-channel…

强关联电子 · 物理学 2024-08-09 Aleksandar Ljepoja , C. J. Bolech , Nayana Shah

We present in detail a simple, exact solution of the anisotropic 2-channel Kondo (2CK) model at its Toulouse point. We reduce the model to a quadratic resonant-level model by generalizing the bosonization-refermionization approach of Emery…

强关联电子 · 物理学 2009-10-31 Gergely Zarand , Jan von Delft

The formation of bound states involving multiple particles underlies many interesting quantum physical phenomena, such as Efimov physics or superconductivity. In this work we show the existence of an infinite number of such states for some…

量子物理 · 物理学 2016-06-01 Tao Shi , Ying-Hai Wu , A. Gonzalez-Tudela , J. I. Cirac

This volume provides a detailed account of bosonization. The first part of the book examines the technical aspects of bosonization including one-dimensional fermions, the Gaussian model, the structure of Hilbert space in conformal theories,…

强关联电子 · 物理学 2007-05-23 A. O. Gogolin , A. A. Nersesyan , A. M. Tsvelik

We present an extension of ``smooth bosonization'' to the non-Abelian case. We construct an enlarged theory containing both bosonic and fermionic fields which exhibits a local chiral gauge symmetry. A gauge fixing function depending on one…

高能物理 - 理论 · 物理学 2009-10-28 P. H. Damgaard , R. Sollacher

We develop a general approach to nonequilibrium nanostructures formed by one-dimensional channels coupled by tunnel junctions and/or by impurity scattering. The formalism is based on nonequilibrium version of functional bosonization. A…

介观与纳米尺度物理 · 物理学 2015-06-05 Stephane Ngo Dinh , Dmitry A. Bagrets , Alexander D. Mirlin

We study a quantum impurity coupled to the edge states of a two-dimensional helical topological superconductor, i.e., to a pair of counterpropagating Majorana fermion edge channels with opposite spin polarizations. For an impurity described…

强关联电子 · 物理学 2011-11-15 Rok Zitko , Pascal Simon

We study a single channel one dimensional Kondo Model where the impurity spin is replaced by an su(n) spin. Using Abelian bosonization and canonical transformation we explicitly show that this system has an exactly solvable point. The…

介观与纳米尺度物理 · 物理学 2010-11-05 Solomon Duki

Several Quantum Impurity problems with four flavors of bulk fermions have zero temperature fixed points that show non fermi liquid behavior. They include the two channel Kondo effect, the two impurity Kondo model, and the fixed point…

凝聚态物理 · 物理学 2016-08-31 Juan M. Maldacena , Andreas W. W. Ludwig

The applicability of bosonization and the Anderson-Yuval (AY) approach at strong coupling is investigated by considering two generic impurity models: the multichannel interacting resonant-level and the anisotropic Kondo models. The two…

强关联电子 · 物理学 2008-11-06 L. Borda , A. Schiller , A. Zawadowski

We study a double quantum dot in the regime where each dot carries a spin-1/2. This system is described by the 2-impurity Kondo model, having a non-Fermi liquid fixed point for a critical value of the inter-impurity coupling. The…

介观与纳米尺度物理 · 物理学 2015-05-13 Eran Sela , Ian Affleck

We establish the action of the three-dimensional non-Abelian bosonization dualities in the presence of a boundary, which supports a non-anomalous two-dimensional theory. In particular, we generalize a prescriptive method for assigning…

高能物理 - 理论 · 物理学 2018-06-13 Kyle Aitken , Andreas Karch , Brandon Robinson

The multichannel Kondo model supports effective anyons on the partially screened impurity, as suggested by its fractional impurity entropy. It was recently demonstrated for the multi-impurity chiral Kondo model, that scattering of an…

强关联电子 · 物理学 2022-04-26 Dor Gabay , Cheolhee Han , Pedro L. S. Lopes , Ian Affleck , Eran Sela

One of the hallmarks of quantum statistics, tightly entwined with the concept of topological phases of matter, is the prediction of anyons. Although anyons are predicted to be realized in certain fractional quantum Hall systems, they have…

We discuss the technique of bosonization for studying systems of interacting fermions in one dimension. After briefly reviewing the low-energy properties of Fermi and Luttinger liquids, we present some of the relations between bosonic and…

强关联电子 · 物理学 2007-05-23 Sumathi Rao , Diptiman Sen

We find that, under certain condition, a quantum dot with odd number of electron and coupled to two leads can be described by a non-equilibrium 2-channel Kondo model, when the two leads has a large voltage bias between them. The model is…

介观与纳米尺度物理 · 物理学 2007-05-23 Xiao-Gang Wen

Using one-dimensional spin-orbital model as a typical example of quantum spin systems with richer symmetries, we study the effect of an isolated impurity on its low energy dynamics in the gapless phase through bosonization and…

强关联电子 · 物理学 2009-10-31 Yu-Wen Lee , Yu-Li Lee
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