scholarly journals From Luttinger liquid to Mott insulator: The correct low-energy description of the one-dimensional Hubbard model by an unbiased variational approach

2005 ◽  
Vol 72 (8) ◽  
Author(s):  
Manuela Capello ◽  
Federico Becca ◽  
Seiji Yunoki ◽  
Michele Fabrizio ◽  
Sandro Sorella
Keyword(s):  
Hubbard Model ◽  
Variational Approach ◽  
Luttinger Liquid ◽  
Mott Insulator ◽  
Low Energy ◽  
One Dimensional ◽  
The One

Application of the Landau-Luttinger Liquid Formulation to the Study of the Magnetic Properties of the 1-D Hubbard Model

1991 ◽  
Vol 05 (01n02) ◽  
pp. 3-30 ◽  
Author(s):  
J. Carmelo ◽  
P. Horsch ◽  
P.A. Bares ◽  
A.A. Ovchinnikov
Keyword(s):  
Magnetic Field ◽  
Magnetic Properties ◽  
Low Temperature ◽  
Hubbard Model ◽  
Luttinger Liquid ◽  
Liquid Formulation ◽  
One Dimensional ◽  
Spin Excitations ◽  
Arbitrary Strength ◽  
The One

The Landau-Luttinger liquid formulation is used to investigate the physics of the one-dimensional Hubbard model in a magnetic field of arbitrary strength H. The low lying charge and spin excitations are studied. A novel branch of sound wave-like spin excitations arises for H>0. The low temperature thermodynamics is considered in some detail.

scholarly journals Hubbard model analysis of the double photoionization of aromatic hydrocarbons

2018 ◽  
Vol 32 (06) ◽  
pp. 1850083
Author(s):  
D. L. Huber
Keyword(s):  
Hubbard Model ◽  
Aromatic Hydrocarbons ◽  
Organic Molecules ◽  
Low Energy ◽  
Ion Concentration ◽  
One Dimensional ◽  
Double Photoionization ◽  
Simultaneous Emission ◽  
Linear Behavior ◽  
The One

Using the one-dimensional Hubbard model as a guide, the peaks in the double photoionization in a variety of aromatic hydrocarbons and related molecules are analyzed. In all the aromatic hydrocarbons that have been studied, there are peaks in the 2[Formula: see text] ion concentration that are 40 eV above threshold. These peaks arise from the emission of electrons from a Hubbard state associated with carbon atoms on the perimeter of the molecule. Pyrene and coronene also have low energy peaks 10 eV above threshold that are associated with the carbon atoms inside the perimeter. The linear behavior of the 2[Formula: see text] ion concentration above the two-electron ionization energy that is found in organic molecules lacking periodic symmetry in their perimeter atoms is associated with the simultaneous emission of two photoelectrons with approximately equal kinetic energies moving in opposite directions.

scholarly journals Symmetry-projected variational approach to the one-dimensional Hubbard model

2005 ◽  
Vol 72 (8) ◽  
Author(s):  
K. W. Schmid ◽  
T. Dahm ◽  
J. Margueron ◽  
H. Müther
Keyword(s):  
Hubbard Model ◽  
Variational Approach ◽  
One Dimensional ◽  
The One
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