Static and Dynamical Characterization of Ground State Phases Induced by Frustration and Magnetic Field in the Spin-1 Orthogonal Dimer Chain

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Autori principali: Ong, Ernest, Bhowmick, Dhiman, Schezwen, Sharoz, Sengupta, Pinaki
Natura: Preprint
Pubblicazione: 2025
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author Ong, Ernest
Bhowmick, Dhiman
Schezwen, Sharoz
Sengupta, Pinaki
author_facet Ong, Ernest
Bhowmick, Dhiman
Schezwen, Sharoz
Sengupta, Pinaki
contents The spin-$1$ orthogonal dimer chain is investigated using the Density Matrix Renormalization Group (DMRG) algorithm. A transformation to a basis that uses the local eigenstates of the orthogonal dimers, while retaining the local spin states for the parallel spins, allows for more effective implementation of the symmetries, as well as mitigating the entanglement bias of DMRG. A rich ground state phase diagram is obtained in the parameter space spanned by the ratio of inter- to intra-dimer interaction (which measures the degree of frustration) and an external magnetic field. Some ground state phases exhibit effective Haldane chain character, whereas others exhibit fragmentation of the ground state wavefunction, or clustering. The phases are characterized by their static properties, including (local) spin quantum number, entanglement entropy, and the spin-spin correlation function. Detailed characterization of a carefully selected set of representative states is presented. The static properties are complemented by exploring the low-energy dynamics through the calculation of the dynamic structure factor. The results provide crucial insight into the emergence of complex ground state phases from the interplay between strong interactions, geometric frustration, and external magnetic field for interacting S=1 Heisenberg spins.
format Preprint
id arxiv_https___arxiv_org_abs_2507_21771
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Static and Dynamical Characterization of Ground State Phases Induced by Frustration and Magnetic Field in the Spin-1 Orthogonal Dimer Chain
Ong, Ernest
Bhowmick, Dhiman
Schezwen, Sharoz
Sengupta, Pinaki
Strongly Correlated Electrons
Quantum Gases
Quantum Physics
The spin-$1$ orthogonal dimer chain is investigated using the Density Matrix Renormalization Group (DMRG) algorithm. A transformation to a basis that uses the local eigenstates of the orthogonal dimers, while retaining the local spin states for the parallel spins, allows for more effective implementation of the symmetries, as well as mitigating the entanglement bias of DMRG. A rich ground state phase diagram is obtained in the parameter space spanned by the ratio of inter- to intra-dimer interaction (which measures the degree of frustration) and an external magnetic field. Some ground state phases exhibit effective Haldane chain character, whereas others exhibit fragmentation of the ground state wavefunction, or clustering. The phases are characterized by their static properties, including (local) spin quantum number, entanglement entropy, and the spin-spin correlation function. Detailed characterization of a carefully selected set of representative states is presented. The static properties are complemented by exploring the low-energy dynamics through the calculation of the dynamic structure factor. The results provide crucial insight into the emergence of complex ground state phases from the interplay between strong interactions, geometric frustration, and external magnetic field for interacting S=1 Heisenberg spins.
title Static and Dynamical Characterization of Ground State Phases Induced by Frustration and Magnetic Field in the Spin-1 Orthogonal Dimer Chain
topic Strongly Correlated Electrons
Quantum Gases
Quantum Physics
url https://arxiv.org/abs/2507.21771