Tan relations in one dimension

We derive exact relations that connect the universal C / k 4 -decay of the momentum distribution at large k with both thermodynamic properties and correlation functions of two-component Fermi gases in one dimension with contact interactions. The relations are analogous to those obtained by Tan in th...

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Bibliographic Details
Published in:Annals of physics 2011-10, Vol.326 (10), p.2544-2565
Main Authors: Barth, Marcus, Zwerger, Wilhelm
Format: Article
Language:English
Subjects:
1D Fermi gas
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
Contact
Contact interaction
Correlation
CORRELATION FUNCTIONS
COUPLING
DECAY
Density
DENSITY MATRIX
DISTRIBUTION
DISTRIBUTION FUNCTIONS
ENERGY LEVELS
FERMI GAS
Fermi gases
FERMIONS
Ferroelectrics
FERROMAGNETISM
FUNCTIONS
Gases
GROUND STATES
INSTABILITY
INTERACTIONS
MAGNETISM
MATRICES
OPE
OPERATOR PRODUCT EXPANSION
Operators
PHYSICAL PROPERTIES
PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
SERIES EXPANSION
THERMODYNAMIC PROPERTIES
Thermodynamics
Three dimensional
THREE-DIMENSIONAL CALCULATIONS
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