Ferromagnetism in the strongly correlated Hubbard model

1988 ◽  
Vol 38 (4) ◽  
pp. 2608-2621 ◽  
Author(s):  
G. Geipel ◽  
W. Nolting
Keyword(s):  
Hubbard Model ◽  
Strongly Correlated

scholarly journals Strange metallicity in the doped Hubbard model

Science ◽  
2019 ◽  
Vol 366 (6468) ◽  
pp. 987-990 ◽  
Author(s):  
Edwin W. Huang ◽  
Ryan Sheppard ◽  
Brian Moritz ◽  
Thomas P. Devereaux
Keyword(s):  
Hubbard Model ◽  
Quantum Monte Carlo ◽  
High Temperature Superconductors ◽  
Linear Temperature Dependence ◽  
Strongly Correlated ◽  
Linear Temperature ◽  
Strongly Correlated Materials ◽  
Starting Point ◽  
Wide Range ◽  
Degenerate Regime

Strange or bad metallic transport, defined by incompatibility with the conventional quasiparticle picture, is a theme common to many strongly correlated materials, including high-temperature superconductors. The Hubbard model represents a minimal starting point for modeling strongly correlated systems. Here we demonstrate strange metallic transport in the doped two-dimensional Hubbard model using determinantal quantum Monte Carlo calculations. Over a wide range of doping, we observe resistivities exceeding the Mott-Ioffe-Regel limit with linear temperature dependence. The temperatures of our calculations extend to as low as 1/40 of the noninteracting bandwidth, placing our findings in the degenerate regime relevant to experimental observations of strange metallicity. Our results provide a foundation for connecting theories of strange metals to models of strongly correlated materials.

scholarly journals DC Hall coefficient of the strongly correlated Hubbard model

2020 ◽  
Vol 5 (1) ◽  
Author(s):  
Wen O. Wang ◽  
Jixun K. Ding ◽  
Brian Moritz ◽  
Edwin W. Huang ◽  
Thomas P. Devereaux
Keyword(s):  
Hubbard Model ◽  
Hall Coefficient ◽  
Strongly Correlated

scholarly journals GAUSSIAN EFFECTIVE POTENTIAL AND ANTIFERROMAGNETISM IN THE HUBBARD MODEL

2012 ◽  
Vol 26 (20) ◽  
pp. 1250130 ◽  
Author(s):  
L. MAROTTA ◽  
F. SIRINGO
Keyword(s):  
Hubbard Model ◽  
Effective Potential ◽  
Square Lattice ◽  
Antiferromagnetic Order ◽  
Strong Coupling Regime ◽  
Electronic Systems ◽  
Strongly Correlated ◽  
Magnetic Systems ◽  
Strongly Correlated Electronic Systems ◽  
Gaussian Effective Potential

The Gaussian Effective Potential (GEP) is shown to be a useful variational tool for the study of the magnetic properties of strongly correlated electronic systems. The GEP is derived for a single band Hubbard model on a two-dimensional bi-partite square lattice in the strong coupling regime. At half-filling the antiferromagnetic order parameter emerges as the minimum of the effective potential with an accuracy which improves over RPA calculations and is very close to that achieved by Monte Carlo simulations. Extensions to other magnetic systems are discussed.

Thermodynamics of the strongly correlated Hubbard model

1991 ◽  
Vol 24 (6) ◽  
pp. L279-L286 ◽  
Author(s):  
Y S Yang ◽  
C J Thompson
Keyword(s):  
Hubbard Model ◽  
Strongly Correlated

Strongly Correlated Electron Systems: Spin-Reflection Positivity and Some Rigorous Results

1998 ◽  
Vol 12 (07n08) ◽  
pp. 709-779 ◽  
Author(s):  
Shun-Qing Shen
Keyword(s):  
Hubbard Model ◽  
Long Range ◽  
Strongly Correlated Electron Systems ◽  
Strongly Correlated ◽  
Electron Systems ◽  
Strongly Correlated Electron ◽  
Rigorous Results ◽  
Correlated Electron Systems ◽  
Correlated Electron ◽  
Generalized Hubbard Model

Theory of spin-reflection positivity developed in recent years is reviewed. This theory makes use of symmetries in an electron system and theory of matrix to investigate the ground state properties. Existences of anti- and ferromagnetic long-range orders in itinerant electron systems, and of off-diagonal long-range order are two successful applications of the theory. In this article, the author attempt to summarize exact results proved by utilizing this theory and related topics. First a general theory and basic theorems are introduced. Second, based on the band structures of conduction electrons, existences of a singlet state with strongly antiferromagnetic correlation, a state with both anti- and ferromagnetic long-range orders, and a fully saturated ferromagnetic state are proved. The theory is applied to several of the main theoretical models for strongly correlated electron systems, such as the Heisenberg model, the Hubbard model, the Anderson model, the single- and multichannel Kondo model, and the generalized Hubbard model, and a series of rigorous results are found in these models. Third, it is proved that off-diagonal long-range order and charge-density wave exist in the ground states of the attractive Hubbard model and the generalized Hubbard model. A relation between pseudospin symmetry and the uniform density theorem is introduced. Fourth, the theory is applied successfully to explain experimental observations of oscillatory interlayer magnetic coupling in ultrathin magnetic films. Finally several unsolved problems are discussed. All results introduced in this article are mathematically exact.

Unified Slave Boson Representation of Spin and Charge Degrees of Freedom for Strongly Correlated Fermi Systems

1992 ◽  
Vol 06 (05n06) ◽  
pp. 685-704 ◽  
Author(s):  
R. Frésard ◽  
P. Wölfle
Keyword(s):  
Hubbard Model ◽  
Degrees Of Freedom ◽  
Strongly Correlated ◽  
Occupied Site ◽  
Fermi Systems ◽  
Detailed Derivation ◽  
Boson Representation

We consider a slave boson representation of lattice electrons in terms of bosons for the empty, singly and doubly occupied site. The approach generalizes an earlier formulation by Kotliar and Ruckenstein. As examples the Hubbard model and the t-J model are considered. The emphasis is on a detailed derivation and discussion of the formal aspects. Simple meanfield solutions are discussed for illustrative purposes.

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