Chiral liquids in one dimension: A non-Fermi-liquid class of fixed points

1998 ◽  
Vol 58 (12) ◽  
pp. 7619-7625 ◽  
Author(s):  
Natan Andrei ◽  
Michael R. Douglas ◽  
Andrés Jerez
Keyword(s):  
Fixed Points ◽  
Fermi Liquid ◽  
One Dimension

THE HUBBARD MODEL: FROM SMALL TO LARGE U

1991 ◽  
Vol 05 (06n07) ◽  
pp. 999-1014 ◽  
Author(s):  
DIONYS BAERISWYL ◽  
WOLFGANG VON DER LINDEN
Keyword(s):  
Hubbard Model ◽  
Ground State ◽  
Fermi Liquid ◽  
Interpolation Formula ◽  
Step Function ◽  
One Dimension ◽  
Marginal Fermi Liquid ◽  
Momentum Distribution Function ◽  
Half Filling ◽  
Normal Fermi

The Hubbard model is investigated starting from both the small and large U limits. This allows one to derive an interpolation formula for the double occupancy at half-filling for dimensionalities d = 1, 2, 3. It shows a smooth behavior as a function of U and tends to zero only for U → ∞. A quantity that probes more sensitively the nature of the ground state is the momentum distribution function n(k). At half filling n(k) is smooth at k F both for d = 1 and d = 2, at least for not too small values of U. In one dimension for all other band fillings the slope of n(k) has a power-law singularity at k F with an exponent α increasing steadily from zero at U = 0 to 1/8 for U → ∞; the system is a "marginal Fermi liquid". A similar behavior may occur close to half-filling for d = 2, but for small densities one expects the usual step function of a normal Fermi liquid.

Non-Fermi liquid fixed points of a two-channel Anderson model

2001 ◽  
Vol 226-230 ◽  
pp. 196-198 ◽  
Author(s):  
João V.B Ferreira ◽  
Luiz N de Oliveira ◽  
Daniel L Cox ◽  
Valter L Lı́bero
Keyword(s):  
Fixed Points ◽  
Anderson Model ◽  
Fermi Liquid

scholarly journals SOME EXPERIMENTAL TESTS OF TOMONAGA–LUTTINGER LIQUIDS

2012 ◽  
Vol 26 (22) ◽  
pp. 1244004 ◽  
Author(s):  
T. GIAMARCHI
Keyword(s):  
Fermi Liquid ◽  
Luttinger Liquid ◽  
Experimental Tests ◽  
Spin Systems ◽  
One Dimension ◽  
Luttinger Liquids ◽  
One Dimensional ◽  
Higher Dimensional ◽  
Made In

The Tomonaga–Luttinger–Liquid (TLL) has been the cornerstone of our understanding of the properties of one dimensional systems. This universal set of properties plays in one dimension, the same role than Fermi liquid plays for the higher dimensional metals. I will give in these notes an overview of some of the experimental tests that were made to probe such TLL physics. In particular I will detail some of the recent experiments that were made in spin systems and which provided remarkable quantitative tests of the TLL physics.

scholarly journals Regular and singular Fermi-liquid fixed points in quantum impurity models

2005 ◽  
Vol 72 (1) ◽  
Author(s):  
Pankaj Mehta ◽  
Natan Andrei ◽  
P. Coleman ◽  
L. Borda ◽  
Gergely Zarand
Keyword(s):  
Fixed Points ◽  
Fermi Liquid ◽  
Quantum Impurity ◽  
Impurity Models

scholarly journals Rise and fall of non-Fermi liquid fixed points in multipolar Kondo problems

2021 ◽  
Vol 3 (1) ◽  
Author(s):  
Daniel J. Schultz ◽  
Adarsh S. Patri ◽  
Yong Baek Kim
Keyword(s):  
Fixed Points ◽  
Fermi Liquid

Reconstruction of Objects from their Projections Using Orthogonal Functions

1973 ◽  
Vol 31 ◽  
pp. 268-269
Author(s):  
Elrnar Zeitler
Keyword(s):  
Unit Area ◽  
Three Dimensional ◽  
One Dimension ◽  
Spatial Density ◽  
Dimensional Representation ◽  
Orthogonal Functions ◽  
Object A ◽  
Plane Normal ◽  
Dimensional Object ◽  
Spatial Density Distribution

Considering any finite three-dimensional object, a “projection” is here defined as a two-dimensional representation of the object's mass per unit area on a plane normal to a given projection axis, here taken as they-axis. Since the object can be seen as being built from parallel, thin slices, the relation between object structure and its projection can be reduced by one dimension. It is assumed that an electron microscope equipped with a tilting stage records the projectionWhere the object has a spatial density distribution p(r,ϕ) within a limiting radius taken to be unity, and the stage is tilted by an angle 9 with respect to the x-axis of the recording plane.

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