Quantum phase transitions in frustrated 1D Heisenberg spin systems
| Autor: | Douglas J. Klein, V. O. Cheranovskii, V. V. Slavin |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
010302 applied physics
Quantum phase transition Physics Physics and Astronomy (miscellaneous) Condensed matter physics Density matrix renormalization group media_common.quotation_subject General Physics and Astronomy Frustration 01 natural sciences Instability 0103 physical sciences Condensed Matter::Strongly Correlated Electrons 010306 general physics Ground state Spin (physics) Critical exponent Excitation media_common |
| Zdroj: | Low Temperature Physics. 47:443-448 |
| ISSN: | 1090-6517 1063-777X |
| DOI: | 10.1063/10.0004965 |
| Popis: | A class of frustrated one-dimensional periodic Heisenberg spin systems formed either by triangular unit cells with spin 1/2 or by composite unit cells formed by two different structural units, triangles and small linear segments formed by an odd number of spin-1/2 is investigated. Based on perturbative processing and numerical calculations of the density matrix renormalization group method, the gapless character of the exact energy spectrum of excitation for these systems was found. Their instability with respect to regular (Peierls) oscillations of interactions between structural units is demonstrated. The corresponding critical exponents for the energies of the ground state are estimated numerically. For some frustrated systems, a quantum phase transition associated with the spin symmetry of the ground state, caused by frustration, has been discovered. |
| Databáze: | OpenAIRE |
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