New PDF release: Interacting Electrons in Reduced Dimensions

By Bill Sutherland (auth.), Dionys Baeriswyl, David K. Campbell (eds.)

As its identify indicates, the 1988 workshop on "Interacting Electrons in diminished Dimen­ the wide range of actual results which are linked to (possibly sions" enthusiastic about strongly) correlated electrons interacting in quasi-one- and quasi-two-dimensional mate­ rials. one of the phenomena mentioned have been superconductivity, magnetic ordering, the metal-insulator transition, localization, the fractional Quantum corridor influence (QHE), Peierls and spin-Peierls transitions, conductance fluctuations and sliding charge-density (CDW) and spin-density (SDW) waves. That those results seem such a lot stated in platforms of lowered dimensionality used to be amply confirmed on the assembly. certainly, whilst concrete illustrations have been provided, they generally concerned chain-like fabrics comparable to conjugated polymers, inorganic CDW platforms and organie conductors, or layered fabrics corresponding to high-temperature copper-oxide superconductors, convinced of the natural superconductors, and the QHE samples, or units the place the electrons are limited to a limited zone of pattern, e. g. , the depletion layer of a MOSFET. To permit this wide topic to be coated in thirty-five lectures (and ab out part as many posters), the workshop was once intentionally excited about theoretical types for those phenomena and on equipment for describing as faithfully as attainable the "true" behav­ ior of those versions. This latter emphasis used to be particularly very important, because the inherently many-body nature of difficulties related to interacting electrons renders traditional effec­ tive single-particle/mean-field equipment (e. g. , Hartree-Fock or the local-density approxi­ mation in density-functional thought) hugely suspect. back, this can be rather actual in lowered dimensions, the place powerful quantum fluctuations can invalidate mean-field results.

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50: 1153 (1983); J. Appl. PhYI. 57: 3359 (1985). 7. K. K. Ghosh, J. Math. PhYI. 10: 1388 (1969). 8. S. Knabe, J. Stat. PhYI. 5t: 627 (1988). 9. J. H. Lieb and B. Simon, J. Stat. PhYI. 18: 335 (1978). 10. E. Jordäo Neves and J. Fernando Perez, PhYI. Lett. ll-1A: 331 (1986). 11. P. Arovas, A. M. Haldane, PhYI. Rev. Lett. 60: 531 (1988). 46 NUMERICAL SIMULATION OF THE TWO DIMENSIONAL HUBBARD MODEL S. Sorella and M. Parrinello International School tor Advanced Studie$ (SISSA) Strada Costiera 11, 1-34014, Trieste, Italy Abstract A new method for simulating strongly correlated fermionic systems, has been applied to the study of the ground state properties of the 2D Hubbard model at various fillings.

Our contribution was to rea1ize that the present problem cou1d be attacked using these notions. ~ term. 2) We have a trans1ationa11y invariant, quadratic hami1tonian. Why don't we solve it by Fourier transformation? The reason is that the spins operators S± form a mixed algebra: they behave 1ike fermions ~ and ~t at one site and commute between different sites. The Fourier cofficients will therefore not obey any simple algebra. 3) with / (n) defined as usual. One can check that ~ is a genuine one component Fermi fie1d.

10. E. Jordäo Neves and J. Fernando Perez, PhYI. Lett. ll-1A: 331 (1986). 11. P. Arovas, A. M. Haldane, PhYI. Rev. Lett. 60: 531 (1988). 46 NUMERICAL SIMULATION OF THE TWO DIMENSIONAL HUBBARD MODEL S. Sorella and M. Parrinello International School tor Advanced Studie$ (SISSA) Strada Costiera 11, 1-34014, Trieste, Italy Abstract A new method for simulating strongly correlated fermionic systems, has been applied to the study of the ground state properties of the 2D Hubbard model at various fillings.

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