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We theoretically investigate the resonant inelastic X-ray scattering (RIXS) spectra in a quasi-1D chain of weakly coupled frustrated spin-1/2 trimers, as realized in Na$_{2}$Cu$_{3}$Ge$_{4}$O$_{12}$, with Cu $d^{9}$ 1/2 spins. We compute…

Strongly Correlated Electrons · Physics 2024-10-22 Prabhakar , Subhajyoti Pal , Umesh Kumar , Manoranjan Kumar , Anamitra Mukherjee

We investigate the excitation spectra of a spin-1/2 antiferromagnetic Heisenberg trimer spin chain by employing a combination of numerical and theoretical techniques. Utilizing the Krylov-space correction-vector method in density matrix…

Strongly Correlated Electrons · Physics 2025-01-17 Junli Li , Jun-Qing Cheng , Trinanjan Datta , Dao-Xin Yao

We report a Cu $K$-edge resonant inelastic x-ray scattering (RIXS) study of spin excitations in the $S$=1/2 antiferromagnetic chain system Sr$_2$CuO$_3$. The spectral weight observed below the charge-transfer gap appears in two-spinon…

Strongly Correlated Electrons · Physics 2025-10-31 Kenji Ishii , Kenji Tsutsui , Takayuki Kawamata , Yoji Koike

Understanding exotic forms of magnetism in quantum spin systems is an emergent topic of modern condensed matter physics. Quantum dynamics can be described by particle-like carriers of information, known-as quasiparticles that appear from…

Strongly Correlated Electrons · Physics 2022-11-29 A. K. Bera , S. M. Yusuf , S. K. Saha , M. Kumar , D. Voneshen , Y. Skourski , S. A. Zvyagin

The recent experimental realization of emergent quasi-particles, such as spinons, doublons, and quartons, in a spin-$1/2$ trimer chain has spurred new interest in low dimensional magnetic systems. In this study, we investigate the dynamical…

Strongly Correlated Electrons · Physics 2025-09-23 Manodip Routh , Anutosh Biswas , Manoranjan Kumar

Resonant inelastic x-ray scattering (RIXS) is an evolving tool for investigating spin dynamics of strongly correlated materials, which complements inelastic neutron scattering. Both techniques have found that non-spin-conserving (NSC)…

We investigate the spin dynamics of a 1D spin-1/2 Heisenberg tetramer chain. Employing a combination of Density Matrix Renormalization Group, quantum renormalization group, and perturbation theory techniques, we compute the energy levels…

Strongly Correlated Electrons · Physics 2026-05-08 Junli Li , Jun-Qing Cheng , Trinanjan Datta , Dao-Xin Yao

Resonant inelastic x-ray scattering (RIXS) at the oxygen $K$-edge has recently accessed multi-spinon excitations in the one-dimensional antiferromagnet (1D-AFM) \sco, where four-spinon excitations are resolved separately from the two-spinon…

Strongly Correlated Electrons · Physics 2018-07-17 Umesh Kumar , Alberto Nocera , Elbio Dagotto , Steven Johnston

We study the magnetic excitation spectra in L-edge resonant inelastic x-ray scattering (RIXS) from undoped cuprates. We analyze the second-order dipole allowed process that the strong perturbation works through the intermediate state in…

Strongly Correlated Electrons · Physics 2013-05-30 Jun-ichi Igarashi , Tatsuya Nagao

One-dimensional (1D) magnetic insulators have attracted significant interest as a platform for studying emergent phenomena such as quasiparticle fractionalization and quantum criticality. The antiferromagnetic Heisenberg chain of spins-1/2…

Strongly Correlated Electrons · Physics 2018-12-20 J. Schlappa , U. Kumar , K. J. Zhou , S. Singh , M. Mourigal , V. N. Strocov , A. Revcolevschi , L. Patthey , H. M. Rønnow , S. Johnston , T. Schmitt

We investigate a spin-1/2 antiferromagnetic chain with trimerized exchange couplings relevant to Na$_2$Cu$_3$Ge$_4$O$_{12}$. We show that the low-energy Hilbert space maps onto an effective Heisenberg chain of composite spin-1/2 trimer…

Strongly Correlated Electrons · Physics 2026-05-26 Snehasish Sen , Sudhansu S. Mandal

We study the elementary excitations and magnetization of a one-dimensional spin-1/2 XX chain comprising trimer-dimer units (the J1-J1-J2-J3-J2 topology) under a transverse magnetic field h. Using Green's function theory and the…

Strongly Correlated Electrons · Physics 2026-02-09 K. S. Chikara , A. K. Bera , A. Kumar , S. M. Yusuf

We determine the spin-exchange dynamical structure factor of the Heisenberg spin chain, as is measured by indirect Resonant Inelastic X-ray Scattering (RIXS). We find that two-spin RIXS excitations nearly entirely fractionalize into *two…

Strongly Correlated Electrons · Physics 2012-12-03 Antoine Klauser , Jorn Mossel , Jean-Sebastien Caux , Jeroen van den Brink

We used resonant inelastic x-ray scattering (RIXS) with and without analysis of the scattered photon polarization, to study dispersive spin excitations in the high temperature superconductor YBa2Cu3O6+x over a wide range of doping levels…

We study the magnetic excitation spectra of Cu L_{2,3}-edge resonant inelastic x-ray scattering (RIXS) from the spin-liquid ground state in two-leg spin ladder cuprates. Applying the projection method developed by the present authors, we…

Strongly Correlated Electrons · Physics 2015-06-05 Tatsuya Nagao , Jun-ichi Igarashi

The insulating mixed-valent Ir$^{+3.66}$ compound Ba$_4$NbIr$_3$O$_{12}$ hosts two holes per Ir$_3$O$_{12}$ trimer unit. We address the electronic structure via resonant inelastic x-ray scattering (RIXS) at the Ir $L_3$ edge and exact…

Using quantum Monte Carlo, exact diagonalization and perturbation theory, we study the spectrum of the $S=1/2$ antiferromagnetic Heisenberg trimer chain by varying the ratio $g=J_2/J_1$ of the intertrimer and intratrimer coupling strengths.…

Strongly Correlated Electrons · Physics 2022-01-13 Jun-Qing Cheng , Jun Li , Zijian Xiong , Han-Qing Wu , Anders W. Sandvik , Dao-Xin Yao

We investigate the nature of low-energy excitations in a spin chain with antiferrmomagnetic nearest-neighbor $J_1$, next-nearest-neighbor $J_2$, and three-site $J_3$ interactions using the time-dependent density matrix renormalization group…

Strongly Correlated Electrons · Physics 2026-03-06 Aman Sharma , Mithilesh Nayak , Natalia Chepiga , Henrik M. Rønnow , Frédéric Mila

The fundamental excitations in an antiferromagnetic chain of spins-1/2 are spinons, de-confined fractional quasiparticles that when combined in pairs, form a triplet excitation continuum. In an Ising-like spin chain the continuum is gapped…

Strongly Correlated Electrons · Physics 2019-07-10 W. J. Gannon , I. A. Zaliznyak , L. S. Wu , A. E. Feiguin , A. M. Tsvelik , F. Demmel , Y. Qiu , J. R. D. Copley , M. S. Kim , M. C. Aronson

We study the magnetic excitation spectra of L-edge resonant inelastic x-ray scattering (RIXS) from the spin singlet ground state in one-dimensional undoped cuprates. Analyzing the transition amplitudes of the magnetic excitations in the…

Strongly Correlated Electrons · Physics 2013-05-30 Jun-ichi Igarashi , Tatsuya Nagao
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