Gutzwiller mean-field theory
WebMartin Charles Gutzwiller (12 October 1925 – 3 March 2014) was a Swiss-American physicist, known for his work on field theory, quantum chaos, and complex systems. He … WebMay 14, 2014 · Gutzwiller mean-field method in Bose Hubbard model. Gutzwiller mean-felid method is an efficient way to study Bose-Hubabrd model in optical lattice with a …
Gutzwiller mean-field theory
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http://www.scholarpedia.org/article/Gutzwiller_wave_function WebMar 15, 1993 · Abstract. We carry out a complete Gutzwiller projection on Schwinger boson mean-field states of quantum Heisenberg models. For the 2-d spin- 2 antiferromagnet in a square lattice we obtain analytically a ground state energy of -0.3352 J /bond. The spin-spin correlation length behaves as ξ∼ ( J T) 1 2 exp (0.670 J/T ), with J⋍1300 K fitting ...
WebSep 2, 2013 · One truly legendary model is the Hubbard model, independently conceived by Martin Gutzwiller 1, ... the development of dynamical mean-field theory is a noteworthy example. Although the model ... WebWe test the accuracy of this wave- tion [6], Density-Matrix Renormalization Group [7] and function in the Hubbard-Holstein model on a Bethe lat- Dynamical Mean-Field Theory (DMFT) [8, 9] or exten- tice, where analytical results can be obtained and com- sions [10].
WebIt is known that within Gutzwiller mean-field theory spatially resolved calculations suffer particularly from finite system sizes in the disordered case, while arithmetic averaging of the order parameter cannot describe the Bose glass phase for finite hopping J > 0 𝐽 … WebWe develop a quantum many-body theory of the Bose-Hubbard model based on the canonical quantization of the action derived from a Gutzwiller mean-field ansatz. Our theory is a systematic generalization of the Bogoliubov theory of weakly interacting gases. The control parameter of the theory, defined as the zero point
WebMay 29, 2012 · We study in this paper a series of Gutzwiller projected wave functions for S = 1 spin chains obtained from a fermionic mean-field theory for general S > 1 / 2 spin systems [Liu, Zhou, and Ng, Phys. Rev. B 81, 224417 (2010)] applied to the bilinear-biquadratic (J-K) model.The free-fermion mean-field states before the projection are 1D …
WebJul 27, 2012 · Jörg Bünemann. In this tutorial presentation, we give a comprehensive introduction into the Gutzwiller variational approach and its merger with the density … エアプランツ 自生WebApr 2, 2014 · In this paper, we compare results obtained by two mean-field approaches—the perturbative mean-field and the Gutzwiller variational ansatz for the … pallato pantsWebNov 21, 2008 · We introduce in detail our newly developed \\textit{ab initio} LDA+Gutzwiller method, in which the Gutzwiller variational approach is naturally incorporated with the density functional theory (DFT) through the "Gutzwiller density functional theory (GDFT)" (which is a generalization of original Kohn-Sham formalism). This method can be used … エアプランツ 苔WebSep 11, 2024 · Abstract: We develop the Gutzwiller approximation method to obtain the renormalized Hamiltonian of the SU(4) $t$-$J$ model with the corresponding … pallatos italianWebWe study the zero-temperature phase diagram of two-dimensional hard-core bosons on a square lattice with nearest-neighbor and plaquette (ring-exchange) hoppings, at arbitrary densities, by means of a hierarchical mean-field theory. In the frustrated regime, where quantum Monte Carlo suffers from a sign problem, we find a rich phase diagram where … エアプランツ 種類Web2.1 Mean-field theories In the theory of classical and quantum many-body systems an overall description of the prop-erties of a model is often obtained within a mean-field theory. Although the term is frequently used it does not have a precise meaning, since there exist numerous ways to derive mean-field theories. pallatrax multiwormWebDec 16, 2009 · The procedure can be seen as a proper quantization of the Gutzwiller mean field theory. The theory is conveniently evaluated in the framework of the quantum effective action, for which the usual symmetry principles are now supplemented with a ``constraint principle'' operative on short distances. We test the theory via investigation … エアプランツ 苗