From integrability to conductance, impurity systems

Castro-Alvaredo, Olalla A.; Fring, Andreas

doi:10.1016/s0550-3213(02)01029-5

Cited by 30 publications

(50 citation statements)

References 75 publications

(113 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…For this purpose we first observe that the operator products under the limit (4.9) have the following expansions for σ → 0: 12) where χ(x; α, β) is a function given by…”

Section: Thirring Model With Defectmentioning

confidence: 99%

Bosonization and Vertex Algebras with Defects

Mintchev

Sorba²

2006

Ann. Henri Poincaré

View full text Add to dashboard Cite

The method of bosonization is extended to the case when a dissipationless point-like defect is present in space-time. Introducing the chiral components of a massless scalar field, interacting with the defect in two dimensions, we construct the associated vertex operators. The main features of the corresponding vertex algebra are established. As an application of this framework we solve the massless Thirring model with defect. We also construct the vertex representation of the sl(2) Kac-Moody algebra, describing the complex interplay between the left and right sectors due to the interaction with the defect. The Sugawara form of the energy-momentum tensor is also explored.

show abstract

“…For this purpose we first observe that the operator products under the limit (4.9) have the following expansions for σ → 0: 12) where χ(x; α, β) is a function given by…”

Section: Thirring Model With Defectmentioning

confidence: 99%

Bosonization and Vertex Algebras with Defects

Mintchev

Sorba²

2006

Ann. Henri Poincaré

View full text Add to dashboard Cite

show abstract

“…The term (4.5) is present even without impurity and is actually the familiar Stefan-Boltzmann (S-B) contribution. One has for instance 10) which is the thermal energy density for a massless hermitian scalar field in 1+1 space-time dimensions. The term (4.6) is of special interest because it describes the correction to the S-B law due to the defect.…”

Section: Energy Density and Stefan-boltzmann Lawmentioning

confidence: 99%

Finite temperature quantum field theory with impurities

Mintchev¹,

Sorba²

2004

J. Stat. Mech.: Theor. Exp.

View full text Add to dashboard Cite

We apply the concept of reflection-transmission (RT) algebra, originally developed in the context of integrable systems in 1+1 space-time dimensions, to the study of finite temperature quantum field theory with impurities in higher dimensions. We consider a scalar field in (s + 1) + 1 space-time dimensions, interacting with impurities localized on s-dimensional hyperplanes, but without self-interaction. We discuss first the case s = 0 and extend afterwards all results to s > 0. Constructing the Gibbs state over an appropriate RT algebra, we derive the energy density at finite temperature and establish the correction to the Stefan-Boltzmann law generated by the impurity. The contribution of the impurity bound states is taken into account. The charge density profiles for various impurities are also investigated.

show abstract

“…The electronic structure of these systems is especially important for practical applications and its theoretical analysis can be based on the Bethe ansatz method [2], the concept of low energy Tomonaga-Luttinger liquid [3] and powerful numerical techniques such as the Quantum Monte-Carlo [4] or Density Matrix Renormalization Group Method [5]. Another important numerical techniques are Coherent Potential Approximation [6] and Recursion Method [7].…”

Section: Introductionmentioning

confidence: 99%

Effect of Structural Disorder on the Electronic Density of States in One-Dimensional Chain of Atoms

Wołoszyn

Spisak

2004

Computational Science - ICCS 2004

View full text Add to dashboard Cite

Abstract.A simple model of chain containing Dirac's delta-like potentials is used to calculate the density of states in systems with structural disorder. The crystal case of equally spaced scattering centers may be seen as a reference case suitable both for numerical calculations as well as analytical ones. The structural disorder means distortion of ideal lattice seen as fluctuation of distances between adjacent sites. Such disorder is sometimes referred to as amorphous and may lead to smearing off the band boundaries resulting in a tail-like density of states.

show abstract

From integrability to conductance, impurity systems

Cited by 30 publications

References 75 publications

Bosonization and Vertex Algebras with Defects

Bosonization and Vertex Algebras with Defects

Finite temperature quantum field theory with impurities

Effect of Structural Disorder on the Electronic Density of States in One-Dimensional Chain of Atoms

Contact Info

Product

Resources

About