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Dynamics of two-body operators in exactly solvable spin chains

Grant number: 13/21168-7
Support type:Scholarships in Brazil - Scientific Initiation
Effective date (Start): January 01, 2014
Effective date (End): December 31, 2014
Field of knowledge:Physical Sciences and Mathematics - Physics - Condensed Matter Physics
Principal Investigator:Rodrigo Gonçalves Pereira
Grantee:Matheus de Oliveira Schossler
Home Institution: Instituto de Física de São Carlos (IFSC). Universidade de São Paulo (USP). São Carlos , SP, Brazil


Quantum spin-1/2 chains exhibit exotic phenomena such as absence of magnetic order at zero temperature and spectrum with fractional excitations. The interpretation of experiments that probe the excitation spectrum, such as resonant inelastic x-ray scattering (RIXS), requires the calculation of dynamical correlation functions at finite energies, a challenge for conventional analytical methods. In this project, we propose a theoretical study of the two-spin dynamical structure factor for the XY model, which is equivalent to a lattice model of free fermions. The approach will consist of utilizing the Jordan-Wigner transformation to map the two-spin operator onto an operator that creates two particle-hole pairs in the fermionic representation. The line shape of the dynamical structure factor for the XY model will then be contrasted with equivalent results for the Heisenberg model.