scholarly journals First temperature corrections to the Fermi-liquid fixed point in two dimensions

2001 ◽  
Vol 64 (5) ◽  
Author(s):  
Gennady Y. Chitov ◽  
Andrew J. Millis
Keyword(s):  
Fixed Point ◽  
Fermi Liquid ◽  
Two Dimensions

scholarly journals Fermi-liquid ground state of interacting Dirac fermions in two dimensions

2019 ◽  
Vol 99 (12) ◽  
Author(s):  
Kazuhiro Seki ◽  
Yuichi Otsuka ◽  
Seiji Yunoki ◽  
Sandro Sorella
Keyword(s):  
Ground State ◽  
Fermi Liquid ◽  
Two Dimensions ◽  
Dirac Fermions

scholarly journals DILATONIC GRAVITY NEAR TWO DIMENSIONS AS A STRING THEORY

1995 ◽  
Vol 10 (27) ◽  
pp. 2001-2008 ◽  
Author(s):  
E. ELIZALDE ◽  
S.D. ODINTSOV
Keyword(s):  
Fixed Point ◽  
Renormalization Group ◽  
String Theory ◽  
Sigma Model ◽  
Scalar Fields ◽  
Two Dimensions ◽  
Gravitational Coupling ◽  
Dilaton Coupling

Using the renormalization group formalism, a sigma model of a special type — in which the metric and the dilaton depend explicitly on one of the string coordinates only — is investigated near two dimensions. It is seen that dilatonic gravity coupled to N scalar fields can be expressed in this form, using a string parametrization, and that it possesses the usual uv fixed point. However, in this stringy parametrization of the theory the fixed point for the scalar-dilaton coupling turns out to be trivial, while that for the gravitational coupling remains the same as in previous studies being, in particular, nontrivial.

scholarly journals Domain Identification for Inverse Problem via Conformal Mapping and Fixed Point Methods in Two Dimensions

2020 ◽  
Vol 2020 ◽  
pp. 1-12
Author(s):  
Fagueye Ndiaye
Keyword(s):  
Fixed Point ◽  
Conformal Mapping ◽  
Holomorphic Function ◽  
Unit Disk ◽  
Bounded Domain ◽  
Cauchy Data ◽  
Two Dimensions ◽  
Inverse Eigenvalue Problem ◽  
Unknown Boundary ◽  
Domain Identification

In this paper, we present a survey of the inverse eigenvalue problem for a Laplacian equation based on available Cauchy data on a known part Γ0 and a homogeneous Dirichlet condition on an unknown part Γ0 of the boundary of a bounded domain, Ω⊂ℝN. We consider variations in the eigenvalues and propose a conformal mapping tool to reconstruct a part of the boundary curve of the two-dimensional bounded domain based on the Cauchy data of a holomorphic function that maps the unit disk onto the unknown domain. The boundary values of this holomorphic function are obtained by solving a nonlocal differential Bessel equation. Then, the unknown boundary is obtained as the image of the boundary of the unit disk by solving an ill-posed Cauchy problem for holomorphic functions via a regularized power expansion. The Cauchy data were restricted to a nonvanishing function and to the normal derivatives without zeros. We prove the existence and uniqueness of the holomorphic function being considered and use the fixed-point method to numerically analyze the results of convergence. We’ll calculate the eigenvalues and compare the result with the shape obtained via minimization functional method, as developed in a previous study. Further, we’ll observe via simulations the shape of Γ and if it preserves its properties with varying the eigenvalues.

Fermi liquid theory in two dimensions

Physica B+C ◽  
1981 ◽  
Vol 106 (1) ◽  
pp. 9-21 ◽  
Author(s):  
Derrick P. Grimmer
Keyword(s):  
Fermi Liquid ◽  
Two Dimensions ◽  
Fermi Liquid Theory ◽  
Liquid Theory
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