Fermionic Band Dispersions and an Evidence of Cooperon Excitations in a Spin-$1/2$ Trimer Chain

Fuente: arXiv
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Autori principali: Patnaik, P. Srikanth, Sen, Snehasish, Bera, A. K., Mandal, Sudhansu S., Roy, Anushree, Yusuf, S. M.
Natura: Preprint
Pubblicazione: 2025
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author Patnaik, P. Srikanth
Sen, Snehasish
Bera, A. K.
Mandal, Sudhansu S.
Roy, Anushree
Yusuf, S. M.
author_facet Patnaik, P. Srikanth
Sen, Snehasish
Bera, A. K.
Mandal, Sudhansu S.
Roy, Anushree
Yusuf, S. M.
contents We obtain the solution of the Hamiltonian of an antiferromagnetically coupled spin-$1/2$ trimer chain in terms of three bands that host three different species of fermions. While the lowest two bands correspond to spin-$1/2$ fermions, the fermions in the highest band are of spin-$3/2$. Because the bands are for different species of fermions, the particle-hole excitation channel across the bands is closed. However, fractionalized excitations as spin-$1/2$ and spin-$3/2$ fermions in pairs open a cooperon channel of excitations in Raman scattering. The background spectral intensity profile obtained by Raman scattering measurements in Na$_2$Cu$_3$Ge$_4$O$_{12}$ having a trimer chain consisting of spin-$1/2$ Cu ions, has comprehensively been shown to be consistent with these excitations.
format Preprint
id arxiv_https___arxiv_org_abs_2504_21616
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Fermionic Band Dispersions and an Evidence of Cooperon Excitations in a Spin-$1/2$ Trimer Chain
Patnaik, P. Srikanth
Sen, Snehasish
Bera, A. K.
Mandal, Sudhansu S.
Roy, Anushree
Yusuf, S. M.
Strongly Correlated Electrons
We obtain the solution of the Hamiltonian of an antiferromagnetically coupled spin-$1/2$ trimer chain in terms of three bands that host three different species of fermions. While the lowest two bands correspond to spin-$1/2$ fermions, the fermions in the highest band are of spin-$3/2$. Because the bands are for different species of fermions, the particle-hole excitation channel across the bands is closed. However, fractionalized excitations as spin-$1/2$ and spin-$3/2$ fermions in pairs open a cooperon channel of excitations in Raman scattering. The background spectral intensity profile obtained by Raman scattering measurements in Na$_2$Cu$_3$Ge$_4$O$_{12}$ having a trimer chain consisting of spin-$1/2$ Cu ions, has comprehensively been shown to be consistent with these excitations.
title Fermionic Band Dispersions and an Evidence of Cooperon Excitations in a Spin-$1/2$ Trimer Chain
topic Strongly Correlated Electrons
url https://arxiv.org/abs/2504.21616