Exact Critical Exponents for the Antiferromagnetic Quantum Critical Metal in Two Dimensions

Critical Exponents and Dimensions for Elliptic Equations

Exact Critical Exponents of the Staircase Model

The staircase model is a recently discovered [5] one-parameter family of integrable two-dimensional continuum field theories. We analyze the novel critical behavior of this model, seen as a perturbation of a minimal conformal theory Mp: the leading thermodynamic singularities are simultaneously governed by all fixed points Mp,Mp−1, . . . ,M3. The exponents of the magnetic susceptibility and the...

Critical phenomena near the antiferromagnetic quantum critical point of Heavy -

We present a study of the critical phenomena around the quantum critical point in heavy-fermion systems. In the framework of the S = 1/2 Kondo lattice model, we introduce an extended decoupling scheme of the Kondo interaction which allows one to treat the spin fluctuations and the Kondo effect on an equal footing. The calculations, developed in a self-consistent one-loop approximation, lead to ...

Polyharmonic Dirichlet Problems: Positivity, Critical Exponents and Critical Dimensions

In this summary we want to present the main results which are contained in the author’s “Habilitationsschrift” (dissertation). It has been written in German and has been submitted to the Faculty of Mathematics and Physics of the University of Bayreuth. Moreover we want to comment on these results, sketch some of the ideas how to prove them and give some background information. For the reader’s ...

Critical Exponents for the Metal–Insulator Transition in Disordered Systems

The critical exponents of the metal–insulator transition in disordered systems have been the subject of much published work containing often contradictory results. Values ranging between 1/2 and 2 can be found even in the recent literature. In this paper the results of a long term study of the transition are presented. The data have been calculated with sufficient accuracy (0.2%) that the calcu...