Green's function and excitation spectrum of finite lattices
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COJOCARU, Sergiu, BÂRSAN, Victor, CEULEMANS, Arnout. Green's function and excitation spectrum of finite lattices. In: Physica Status Solidi (B) Basic Research, 2006, vol. 243, pp. 1963-1977. ISSN 0370-1972. DOI: https://doi.org/10.1002/pssb.200541484
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Physica Status Solidi (B) Basic Research
Volumul 243 / 2006 / ISSN 0370-1972

Green's function and excitation spectrum of finite lattices

DOI:https://doi.org/10.1002/pssb.200541484

Pag. 1963-1977

Cojocaru Sergiu12, Bârsan Victor3, Ceulemans Arnout4
 
1 Horia Hulubei National Institute of Physics and Nuclear Engineering,
2 Institute of Applied Physics, Academy of Sciences of Moldova,
3 Institute of Atomic Physics,
4 University of Leuven
 
 
Disponibil în IBN: 15 septembrie 2023


Rezumat

New analytical results are obtained for the Green's function of a finite one-dimensional lattice with nearest neighbor interaction using discrete Fourier transform. The method offers an alternative to the Bethe Ansatz, but does not require any a priori assumption on the form of the wavefunction. This makes it suitable for extensions to nano-ferromagnets of higher dimensions. Solutions of the Heisenberg spin chain with periodic and open boundary conditions are considered as examples. 

Cuvinte-cheie
Analytical results, Excitation spectrum, Finite lattices, Heisenberg spin chains, higher dimensions, Nearest-neighbor interactions, One-dimensional lattice, Open boundary condition