Exact diagonalization of 1D interacting spinless Fermions
نویسندگان
چکیده
منابع مشابه
Dielectric Response of the Interacting 1D Spinless Fermions with Disorder
Dielectric responces of the one-dimentional electron system is investigated numerically. We treat an interacting one-dimentional spinless fermion model with disorder by using the Density Matrix Renormalization Group(DMRG) method which is extended for nonuniform systems. We apply an electric field E to the system and calculate dielectric responces. Dielectric responce of the Mott insulator and t...
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A new method of constructing an infinite set of exact eigenfunctions of 1–d interacting spinless Fermionic systems is derived. Creation and annihilation operators for the interacting system are found and thereby the many–body Hamiltonian is diagonalised. The formalism is applied to several examples. One instance is the theory of Jack polynomials. For the Calogero-Moser-Sutherland Hamiltonian a ...
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Using the self-consistent Hartree–Fock approximation for spinless electrons at zero temperature, we study tunneling of the interacting electron gas through a single δ barrier in a finite one-dimensional wire connected to contacts. Our results exhibit features known from correlated many-body models. In particular, the conductance decays with the wire length as ∝ L−2α, where the power α is univer...
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In this paper, we discuss the mean-field treatment of fermionic systems and the critical properties near the phase transitions at zero and finite temperature, respectively. Specifically, we consider the spinless fermion hopping on a square lattice, with nearest-neighbor repulsive interactions. We found that at intermediate repulsion strength there is a second-order phase transition from the Fer...
متن کاملExistence of an incommensurate ground state of interacting spinless fermions in infinite dimensions
We focus on the ground state phase diagram of a system of spinless fermions with repulsion on a hypercubic lattice in the limit of infinite dimensions. Spontaneous symmetry breaking into a charge density wave (CDW) occurs. Using an ansatz for the order parameter which includes the homogeneous, the AB and a large class of incommensurate phases we are able to calculate the phase diagram. It is im...
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ژورنال
عنوان ژورنال: Journal of Mathematical Physics
سال: 2011
ISSN: 0022-2488,1089-7658
DOI: 10.1063/1.3563580