Finite-temperature dynamical structure factor of the Heisenberg-Ising chain
We consider the spin-1/2 Heisenberg XXZ chain in the regime of large Ising-type anisotropy Δ. By a combination of duality and Jordan-Wigner transformations we derive a mapping to weakly interacting spinless fermions, which represent domain walls between the two degenerate ground states. We develop a...
| Main Authors: | , , |
|---|---|
| Format: | Journal article |
| Language: | English |
| Published: |
2009
|
| _version_ | 1826258542491860992 |
|---|---|
| author | James, A Goetze, W Essler, F |
| author_facet | James, A Goetze, W Essler, F |
| author_sort | James, A |
| collection | OXFORD |
| description | We consider the spin-1/2 Heisenberg XXZ chain in the regime of large Ising-type anisotropy Δ. By a combination of duality and Jordan-Wigner transformations we derive a mapping to weakly interacting spinless fermions, which represent domain walls between the two degenerate ground states. We develop a perturbative expansion in 1/Δ for the transverse dynamical spin structure factor at finite temperatures and in an applied transverse magnetic field. We present a unified description for both the low-energy temperature-activated response and the temperature evolution of the T=0 two-spinon continuum. We find that the two-spinon continuum narrows in energy with increasing temperature. At the same time spectral weight is transferred from the two-spinon continuum to the low-energy intraband scattering continuum, which is strongly peaked around the position of the (single) spinon dispersion ("Villain mode"). © 2009 The American Physical Society. |
| first_indexed | 2024-03-06T18:35:36Z |
| format | Journal article |
| id | oxford-uuid:0b1bc706-61ea-4eff-8205-c2483b2e9c33 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T18:35:36Z |
| publishDate | 2009 |
| record_format | dspace |
| spelling | oxford-uuid:0b1bc706-61ea-4eff-8205-c2483b2e9c332022-03-26T09:27:42ZFinite-temperature dynamical structure factor of the Heisenberg-Ising chainJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:0b1bc706-61ea-4eff-8205-c2483b2e9c33EnglishSymplectic Elements at Oxford2009James, AGoetze, WEssler, FWe consider the spin-1/2 Heisenberg XXZ chain in the regime of large Ising-type anisotropy Δ. By a combination of duality and Jordan-Wigner transformations we derive a mapping to weakly interacting spinless fermions, which represent domain walls between the two degenerate ground states. We develop a perturbative expansion in 1/Δ for the transverse dynamical spin structure factor at finite temperatures and in an applied transverse magnetic field. We present a unified description for both the low-energy temperature-activated response and the temperature evolution of the T=0 two-spinon continuum. We find that the two-spinon continuum narrows in energy with increasing temperature. At the same time spectral weight is transferred from the two-spinon continuum to the low-energy intraband scattering continuum, which is strongly peaked around the position of the (single) spinon dispersion ("Villain mode"). © 2009 The American Physical Society. |
| spellingShingle | James, A Goetze, W Essler, F Finite-temperature dynamical structure factor of the Heisenberg-Ising chain |
| title | Finite-temperature dynamical structure factor of the Heisenberg-Ising chain |
| title_full | Finite-temperature dynamical structure factor of the Heisenberg-Ising chain |
| title_fullStr | Finite-temperature dynamical structure factor of the Heisenberg-Ising chain |
| title_full_unstemmed | Finite-temperature dynamical structure factor of the Heisenberg-Ising chain |
| title_short | Finite-temperature dynamical structure factor of the Heisenberg-Ising chain |
| title_sort | finite temperature dynamical structure factor of the heisenberg ising chain |
| work_keys_str_mv | AT jamesa finitetemperaturedynamicalstructurefactoroftheheisenbergisingchain AT goetzew finitetemperaturedynamicalstructurefactoroftheheisenbergisingchain AT esslerf finitetemperaturedynamicalstructurefactoroftheheisenbergisingchain |