Zobrazeno 1 - 10
of 92
pro vyhledávání: '"Frank Göhmann"'
Publikováno v:
SciPost Physics, Vol 12, Iss 5, p 158 (2022)
We present a series representation for the dynamical two-point function of the local spin current for the XXZ chain in the antiferromagnetic massive regime at zero temperature. From this series we can compute the correlation function with very hig
Externí odkaz:
https://doaj.org/article/eff37f33f5a243098fee147cb10da6af
Autor:
Frank Göhmann
Publikováno v:
SciPost Physics Lecture Notes, p 16 (2020)
This script is based on the notes the author prepared to give a set of six lectures at the Les Houches School "Integrability in Atomic and Condensed Matter Physics" in the summer of 2018. The school had its focus on the application of integrabilit
Externí odkaz:
https://doaj.org/article/6391c77a7912467caa02913aaa97165b
Publikováno v:
Symmetry, Integrability and Geometry: Methods and Applications, Vol 6, p 082 (2010)
We calculate the low temperature asymptotics of a function γ that generates the temperature dependence of all static correlation functions of the isotropic Heisenberg chain.
Externí odkaz:
https://doaj.org/article/bcabb96965074137be24f3a1bd1ab435
The description of solids at a microscopic level is complex, involving the interaction of a huge number of its constituents, such as ions or electrons. It is impossible to solve the corresponding many-body problems analytically or numerically, althou
Publikováno v:
Commun.Math.Phys.
Commun.Math.Phys., 2020, 377 (1), pp.623-673. ⟨10.1007/s00220-020-03749-6⟩
Commun.Math.Phys., 2020, 377 (1), pp.623-673. ⟨10.1007/s00220-020-03749-6⟩
International audience; This work develops a rigorous setting allowing one to prove several features related to the behaviour of the Heisenberg–Ising (or XXZ) spin-1/2 chain at finite temperature T. Within the quantum inverse scattering method the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cdbd0deeddf7324e19bdddb30bf56ac5
https://doi.org/10.1007/s00220-020-03749-6
https://doi.org/10.1007/s00220-020-03749-6
Publikováno v:
Phys.Rev.Lett.
Phys.Rev.Lett., 2021, 126 (21), pp.210602. ⟨10.1103/PhysRevLett.126.210602⟩
Phys.Rev.Lett., 2021, 126 (21), pp.210602. ⟨10.1103/PhysRevLett.126.210602⟩
We apply the recently developed thermal form factor expansion method to evaluate the real-time longitudinal spin-spin correlation functions of the spin-$\frac{1}{2}$ XXZ chain in the antiferromagnetically ordered regime at temperature $T=0$. An analy
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::20ce291b883ee1276c1b6271c181cf94
https://doi.org/10.1103/physrevlett.126.210602
https://doi.org/10.1103/physrevlett.126.210602
Publikováno v:
Journal of Physics A: Mathematical and Theoretical
We give a descriptive review of the Fermionic basis approach to the theory of correlation functions of the XXZ quantum spin chain. The emphasis is on explicit formulae for short-range correlation functions which will be presented in a way that allows
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fa5995a530bc8d13092dade185b82d0c
Publikováno v:
J.Math.Phys.
J.Math.Phys., 2021, 62 (4), pp.041901. ⟨10.1063/5.0039863⟩
J.Math.Phys., 2021, 62 (4), pp.041901. ⟨10.1063/5.0039863⟩
We consider the longitudinal dynamical two-point function of the XXZ quantum spin chain in the antiferromagnetic massive regime. It has a series representation based on the form factors of the quantum transfer matrix of the model. The $n$th summand o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a04012d053512fbeb2e70cdfc9edae8c
https://hal.archives-ouvertes.fr/hal-03070636
https://hal.archives-ouvertes.fr/hal-03070636
Publikováno v:
Letters in Mathematical Physics
Letters in Mathematical Physics, 2021, 111, pp.132. ⟨10.1007/s11005-021-01473-3⟩
Letters in Mathematical Physics, 2021, 111, pp.132. ⟨10.1007/s11005-021-01473-3⟩
We consider the dressed energy $\varepsilon$ of the XXZ chain in the massless antiferromagnetic parameter regime at $0 < \Delta < 1$ and at finite magnetic field. This function is defined as a solution of a Fredholm integral equation of the second ki
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1c0a37595b6c78643896c0c187fdac29
Publikováno v:
J.Math.Phys.
J.Math.Phys., 2020, 61 (1), pp.013301. ⟨10.1063/1.5111039⟩
J.Math.Phys., 2020, 61 (1), pp.013301. ⟨10.1063/1.5111039⟩
We analyse the transverse dynamical two-point correlation function of the XX chain by means of a thermal form factor series. The series is rewritten in terms of the resolvent and the Fredholm determinant of an integrable integral operator. This conne
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2e2d1ba13618d8e2172f9026bde335d8
https://hal.science/hal-02147977
https://hal.science/hal-02147977