Correlated fractional Dirac materials
Fractional Dirac materials (FDMs) feature a fractional energy-momentum relation E(k)∼|k|^{α}, where α(<1) is a real noninteger number, in contrast to that in conventional Dirac materials with α=1. Here we analyze the effects of short- and long-range Coulomb repulsions in two- and three-dimensiona...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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American Physical Society
2023-07-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.5.L032002 |
| _version_ | 1827285204341882880 |
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| author | Bitan Roy Vladimir Juričić |
| author_facet | Bitan Roy Vladimir Juričić |
| author_sort | Bitan Roy |
| collection | DOAJ |
| description | Fractional Dirac materials (FDMs) feature a fractional energy-momentum relation E(k)∼|k|^{α}, where α(<1) is a real noninteger number, in contrast to that in conventional Dirac materials with α=1. Here we analyze the effects of short- and long-range Coulomb repulsions in two- and three-dimensional FDMs. Only a strong short-range interaction causes nucleation of a correlated insulator that takes place through a quantum critical point. The universality class of the associated quantum phase transition is determined by the correlation length exponent ν^{−1}=d−α and dynamic scaling exponent z=α, set by the band curvature. On the other hand, the fractional dispersion is protected against long-range interaction due to its nonanalytic structure. Rather, a linear Dirac dispersion gets generated under coarse graining, and the associated Fermi velocity increases logarithmically in the infrared regime, thereby yielding a two-fluid system. Altogether, correlated FDMs unfold a rich landscape accommodating unconventional emergent many-body phenomena. |
| first_indexed | 2024-04-24T10:11:02Z |
| format | Article |
| id | doaj.art-ca8ad0cfe6a443e1aecb11cb62a08e33 |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:11:02Z |
| publishDate | 2023-07-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-ca8ad0cfe6a443e1aecb11cb62a08e332024-04-12T17:32:20ZengAmerican Physical SocietyPhysical Review Research2643-15642023-07-0153L03200210.1103/PhysRevResearch.5.L032002Correlated fractional Dirac materialsBitan RoyVladimir JuričićFractional Dirac materials (FDMs) feature a fractional energy-momentum relation E(k)∼|k|^{α}, where α(<1) is a real noninteger number, in contrast to that in conventional Dirac materials with α=1. Here we analyze the effects of short- and long-range Coulomb repulsions in two- and three-dimensional FDMs. Only a strong short-range interaction causes nucleation of a correlated insulator that takes place through a quantum critical point. The universality class of the associated quantum phase transition is determined by the correlation length exponent ν^{−1}=d−α and dynamic scaling exponent z=α, set by the band curvature. On the other hand, the fractional dispersion is protected against long-range interaction due to its nonanalytic structure. Rather, a linear Dirac dispersion gets generated under coarse graining, and the associated Fermi velocity increases logarithmically in the infrared regime, thereby yielding a two-fluid system. Altogether, correlated FDMs unfold a rich landscape accommodating unconventional emergent many-body phenomena.http://doi.org/10.1103/PhysRevResearch.5.L032002 |
| spellingShingle | Bitan Roy Vladimir Juričić Correlated fractional Dirac materials Physical Review Research |
| title | Correlated fractional Dirac materials |
| title_full | Correlated fractional Dirac materials |
| title_fullStr | Correlated fractional Dirac materials |
| title_full_unstemmed | Correlated fractional Dirac materials |
| title_short | Correlated fractional Dirac materials |
| title_sort | correlated fractional dirac materials |
| url | http://doi.org/10.1103/PhysRevResearch.5.L032002 |
| work_keys_str_mv | AT bitanroy correlatedfractionaldiracmaterials AT vladimirjuricic correlatedfractionaldiracmaterials |