A discrete Hubbard-Stratonovich decomposition for general, fermionic two-body interactions
نویسندگان
چکیده
منابع مشابه
A discrete Hubbard-Stratonovich decomposition for general, fermionic two-body interactions
A scheme is presented to decompose the exponential of a two-body operator in a discrete sum over exponentials of one-body operators. This discrete decomposition can be used instead of the Hubbard-Stratonovich transformation in auxiliary-field quantum Monte-Carlo methods. As an illustration, the decomposition is applied to the Hubbard model, where it is equivalent to the discrete Hubbard-Straton...
متن کاملHubbard-Stratonovich Transformation: Successes, Failure, and Cure
We recall the successes of the Hubbard-Stratonovich Transformation (HST) of many-body theory, point out its failure to cope with competing channels of collective phenomena and show how to overcome this by Variational Perturbation Theory. That yields exponentially fast converging results, thanks to the help of a variety of collective classical fields, rather than a fluctuating collective quantum...
متن کاملBosonisation as the Hubbard Stratonovich Transformation
The problem of strongly correlated electrons in one dimension attracted the attention of condensed matter physicists since early 50’s. After the seminal paper of Tomonaga [8] who suggested the first soluble model in 1950, there were essential achievements reflected in papers by Luttinger [6] (1963) and Mattis and Lieb [7] (1963). Considerable contribution to understanding of the generic propert...
متن کاملTwo and Three-Body Interactions between CO, H2O, and HClO4
Intermolecular interactions of different configurations in the HOClO3···CO and HOClO3···H2O dyad and CO···HOClO3···H2O triad systems have been studied at MP2/6-311++G(2d,2p) computational level. Molecular geometries, binding energies, cooperative energies, many-body interaction energies, and Energy Decomposition Analysis (EDA) were eval...
متن کاملHarnack inequalities and discrete – continuum error estimates for a chain of atoms with two – body interactions
We consider deformations in R of an infinite linear chain of atoms where each atom interacts with all others through a two-body potential. We compute the effect of an external force applied to the chain. At equilibrium, the positions of the particles satisfy an Euler-Lagrange equation. For large classes of potentials, we prove that every solution is well approximated by the solution of a contin...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physics Letters A
سال: 1998
ISSN: 0375-9601
DOI: 10.1016/s0375-9601(98)00197-2