Kubo's response theory and bosonization with a background gauge field and irrelevant perturbations

Scientific paper - Original scientific paper

• Author: Yoshiki Fukusumi
• Author: Osor-Slaven Barišić
• Author's institution: University of Zagreb; Faculty of Science; (Department of Physics)
• Scientific / art field, discipline and subdiscipline: NATURAL SCIENCES; Physics

Abstract (english)

Using conformal field theory calculations of the energy spectrum, within the XXZ model we investigate effects of the flux insertion and the Umklapp term. We discuss two approaches to the evaluation of the Drude weight, the first corresponding to the linear response theory and the second corresponding to the twisted boson theory with the Umklapp term. Divergences obtained in the context of the former contradict the Bethe ansatz results, with the two approaches coinciding for the free fermion point only. The origin of this discrepancy is in the different order in which the Umklapp term and the flux insertion are treated, where the marginal perturbation should be considered before the irrelevant perturbation. We calculate the scaling of the conductivity with system size and temperature in the long-wave limit.

• Keywords (english): Kubo’s response theory; bosonization
• Language: english
• Publication type: Scientific paper - Original scientific paper
• Publication status: Published
• Peer review: Peer review - international
• Publication version: Published version
• Journal title: Physical Review B
• Numbering: vol. 104, no. 23, 235145
• p-ISSN: 2469-9950
• e-ISSN: 2469-9969
• DOI: https://doi.org/10.1103/PhysRevB.104.235145
• URN:NBN: urn:nbn:hr:217:343222
• Publication: 2021-12-23
• Project: Number: KK.01.1.1.01.0004; Title (croatian): Provedba vrhunskih istraživanja u sklopu Znanstvenog centra izvrsnosti za kvantne i kompleksne sustave te reprezentacije Liejevih algebri; Title (english): Implementation of top research within the Scientific Center of Excellence for Quantum and Complex Systems, and Representations of Lie Algebras; Acronym: QuantiXLie; Leader: Hrvoje Buljan; Jurisdiction: eu; Funding stream: European Regional Development Fund
• Project: Number: IP-2016-06-7258; Title (croatian): Fizika mnogočestičnih sustava - iskorištavanje svijeta kompleksnosti; Acronym: COMPLEX_ORBIS; Leader: Osor-Slaven Barišić; Jurisdiction: Croatia; Funding stream: Research Projects
• Document URL: https://link.aps.org/doi/10.1103/PhysRevB.104.235145
• Type of resource: Text
• Access conditions: Open access
• Public note: © 2021 American Physical Society. Received 20 September 2021; accepted 9 December 2021; published 23 December 2021.
• Created on: 2024-09-18 12:01:32