Mean field theory of short-range order in strongly correlated low dimensional electronic systems

We study parity violating states of strongly correlated two-dimensional electronic systems. On the basis of mean field theory for the SU (2N)-symmetric generalization of the system involved we give the arguments supporting the existence of these states at a filling number different from one-half. We derive an effective Lagrangian describing the long wavelength dynamics of magnetic excitations and their interaction with charged spinless holes. We establish that the ground state of a doped system is superconducting and discuss the phenomenological manifestations of the parity violation.

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Neutron stars within a relativistic mean field theory compatible with nucleon-nucleon short-range correlations

Nuclear Physics A ◽

10.1016/j.nuclphysa.2019.07.002 ◽

2019 ◽

Vol 990 ◽

pp. 118-136

Author(s):

Zhen Li ◽

Zhongzhou Ren ◽

Bin Hong ◽

Hao Lu ◽

Dong Bai

Keyword(s):

Field Theory ◽

Neutron Stars ◽

Short Range ◽

Mean Field Theory ◽

Mean Field ◽

Nucleon Nucleon ◽

Relativistic Mean Field Theory ◽

Relativistic Mean Field ◽

Short Range Correlations

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Nature of Non-magnetic Strongly-Correlated State in Plutonium

MRS Proceedings ◽

10.1557/proc-986-0986-oo01-07 ◽

2006 ◽

Vol 986 ◽

Author(s):

Leniod Purovskii ◽

Alexander Shick ◽

Ladislav Havela ◽

Mikhail Katsnelson ◽

Alexander Lichtenstein

Keyword(s):

Field Theory ◽

Density Functional ◽

Local Density ◽

Mean Field Theory ◽

Mean Field ◽

Dynamical Mean Field Theory ◽

Cubic Phase ◽

Face Centered Cubic ◽

Strongly Correlated ◽

Starting Point

AbstractLocal density approximation for the electronic structure calculations has been highly successful for non-correlated systems. The LDA scheme quite often failed for strongly correlated materials containing transition metals and rare-earth elements with complicated charge, spin and orbital ordering. Dynamical mean field theory in combination with the first-principle scheme (LDA+DMFT) can be a starting point to go beyond static density functional approximation and include effects of charge, spin and orbital fluctuations. Ab-initio relativistic dynamical mean-field theory is applied to resolve the long-standing controversy between theory and experiment in the “simple” face-centered cubic phase of plutonium called δ-Pu. In agreement with experiment, neither static nor dynamical magnetic moments are predicted. In addition, the quasiparticle density of states reproduces not only the peak close to the Fermi level, which explains the large coefficient of electronic specific heat, but also main 5f features observed in photoelectron spectroscopy.

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Non-Mean-Field Theories of Short Range Order and Diffuse Scattering Anomalies in Disordered Alloys

Local Structure from Diffraction - Fundamental Materials Research ◽

10.1007/0-306-47077-2_12 ◽

2006 ◽

pp. 207-231

Author(s):

Igor Tsatskis

Keyword(s):

Diffuse Scattering ◽

Short Range ◽

Short Range Order ◽

Mean Field ◽

Range Order ◽

Field Theories ◽

Disordered Alloys ◽

Mean Field Theories

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RECENT APPLICATIONS OF THE DMRG METHOD

International Journal of Modern Physics B ◽

10.1142/s0217979206035102 ◽

2006 ◽

Vol 20 (19) ◽

pp. 2624-2635

Author(s):

KAREN HALLBERG

Keyword(s):

Degrees Of Freedom ◽

Mean Field Theory ◽

Mean Field ◽

Finite Size ◽

Strongly Correlated Systems ◽

Strongly Correlated ◽

Correlated Systems ◽

Infinite Dimensional ◽

Low Dimensional ◽

Time Dependent Problems

Since its inception, the DMRG method has been a very powerful tool for the calculation of physical properties of low-dimensional strongly correlated systems. It has been adapted to obtain dynamical properties and to consider finite temperature, time-dependent problems, bosonic degrees of freedom, the treatment of classical problems and non-equilibrium systems, among others. We will briefly review the method and then concentrate on its latest developments, describing some recent successful applications. In particular we will show how the dynamical DMRG can be used together with the Dynamical Mean Field Theory (DMFT) to solve the associated impurity problem in the infinite-dimensional Hubbard model. This method is used to obtain spectral properties of strongly correlated systems. With this algorithm, more complex problems having a larger number of degrees of freedom can be considered and finite-size effects can be minimized.

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