Density matrix renormalization group approach to the low temperature thermodynamics of correlated 1D fermionic models

Saha, Sudip Kumar; Maiti, Debasmita; Kumar, Manoranjan; Soos, Z. G.

doi:10.1016/j.jmmm.2022.169150

Cited by 3 publications

(2 citation statements)

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“…The temperature dependence of the thermodynamic quantities for Na 2 Cu 3 Ge 4 O 12 were calculated using the hybrid exact diagonalization (ED) and density matrix renormalization group (DMRG) method (hybrid ED/DMRG) 36,37 . It combines exact diagonalization (ED) of short chains with density matrix renormalization group (DMRG) calculations of progressively longer chains.…”

Section: Numerical Calculationsmentioning

confidence: 99%

“…It combines exact diagonalization (ED) of short chains with density matrix renormalization group (DMRG) calculations of progressively longer chains. The hybrid ED/DMRG technique has been extensively applied to 1D spin systems 36 and fermionic systems 37 . The main advantage of this method is that the full spectrum of large systems of N spins is not needed.…”

Section: Numerical Calculationsmentioning

confidence: 99%

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Emergent many-body composite excitations of interacting spin-1/2 trimers

et al. 2022

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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 the collective behaviour of the underlying system. Spinon excitations, governing the excitations of quantum spin-systems, have been accurately calculated and precisely verified experimentally for the antiferromagnetic chain model. However, identification and characterization of novel quasiparticles emerging from the topological excitations of the spin system having periodic exchange interactions are yet to be obtained. Here, we report the identification of emergent composite excitations of the novel quasiparticles doublons and quartons in spin-1/2 trimer-chain antiferromagnet Na2Cu3Ge4O12 (having periodic intrachain exchange interactions J1-J1-J2) and its topologically protected quantum 1/3 magnetization-plateau state. The characteristic energies, dispersion relations, and dynamical structure factor of neutron scattering as well as macroscopic quantum 1/3 magnetization-plateau state are in good agreement with the state-of-the-art dynamical density matrix renormalization group calculations.

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Section: Numerical Calculationsmentioning

confidence: 99%

Section: Numerical Calculationsmentioning

confidence: 99%