Article (Scientific journals)
Exact thermal properties of free-fermionic spin chains
Białończyk, Michał; Gómez-Ruiz, Fernando Javier; Del Campo Echevarria, Adolfo
2021In SciPost Physics
Peer reviewed


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Abstract :
[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.
Disciplines :
Author, co-author :
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)
External co-authors :
Language :
Title :
Exact thermal properties of free-fermionic spin chains
Publication date :
15 July 2021
Journal title :
SciPost Physics
Peer reviewed :
Peer reviewed
Focus Area :
Physics and Materials Science
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