| Reference : Exact thermal properties of free-fermionic spin chains |
| Scientific journals : Article | |||
| Physical, chemical, mathematical & earth Sciences : Physics | |||
| Physics and Materials Science | |||
| http://hdl.handle.net/10993/48526 | |||
| Exact thermal properties of free-fermionic spin chains | |
| English | |
| Białończyk, Michał [Institute of Physics, Jagiellonian University, Lojasiewicza 11, 30-348 Kraków, Poland] | |
| Gómez-Ruiz, Fernando Javier [Donostia International Physics Center, E-20018 San Sebastián, Spain > > > ; Departamento de Física, Universidad de Los Andes, A.A. 4976, Bogotá, Colombia] | |
Del Campo Echevarria, Adolfo  [University of Luxembourg > Faculty of Science, Technology and Medicine (FSTM) > Department of Physics and Materials Science (DPHYMS) >] | |
| 15-Jul-2021 | |
| SciPost Phys. | |
| Yes | |
| International | |
| [en] An exact description of integrable spin chains at finite temperature is provided using
an elementary algebraic approach in the complete Hilbert space of the system. We focus on spin chain models that admit a description in terms of free fermions, including paradigmatic examples such as the one-dimensional transverse-field quantum Ising and XY models. The exact partition function is derived and compared with the ubiquitous approximation in which only the positive parity sector of the energy spectrum is considered. Errors stemming from this approximation are identified in the neighborhood of the critical point at low temperatures. We further provide the full counting statistics of a wide class of observables at thermal equilibrium and characterize in detail the thermal distribution of the kink number and transverse magnetization in the transverse-field quantum Ising chain. | |
| http://hdl.handle.net/10993/48526 | |
| 10.21468 |
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