Charge carriers with fractional exclusion statistics in cuprates

Marchetti, P. A.; Ye, F.; Su, Zhixun; Yu, Li

doi:10.1103/physrevb.100.035103

Cited by 4 publications

(4 citation statements)

References 47 publications

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“…In particular, and this will be the case of interest here, this implies that at a fixed momentum (neglecting other internal degrees of freedom) a quasi-particle with exclusion statistics 1/2 can have an occupation number twice that of a free fermion, so that the volume of its Fermi surface is half of that of a Fermi gas with the same density. In this paper, following References [7][8][9], we show that we can attribute consistently both exchange and exclusion statistics 1/2 to the charge carriers of the one-and two-dimensional t-J model. A quite interesting physical application of these ideas is a derived explanation of many features of the low-energy physics of high T c cuprates.…”

Section: Introductionsupporting

confidence: 63%

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Fractional Statistics of Charge Carriers in the One- and Two-Dimensional t-J Model: A Hint for the Cuprates?

Marchetti

2020

Condensed Matter

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We show that we can interpret the exact solution of the one-dimensional t-J model in the limit of small J in terms of charge carriers with both exchange (braid) and exclusion (Haldane) statistics with parameter 1/2. We discuss an implementation of the same statistics in the two-dimensional t-J model, emphasizing similarities and differences with respect to one dimension. In both cases, the exclusion statistics is a consequence of the no-double occupation constraint. We argue that the application of this formalism to hole-doped high Tc cuprates and the derived composite nature of the hole give a hint to grasp many unusual properties of these materials.

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Section: Introductionsupporting

confidence: 63%

“…a line between the lattice sites realized by exchange of the two Néel sublattices. As a consequence, when a regulator respecting this symmetry is introduced, still denoted m, the contributions of the two cones to the Hall conductivity add up [9] to sign(m)/2π, as in the case of topological insulators [36].…”

Section: The Two-dimensional T-j Modelmentioning

confidence: 99%

Fractional Statistics of Charge Carriers in the One- and Two-Dimensional t-J Model: A Hint for the Cuprates?

Marchetti

2020

Condensed Matter

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“…The fluctuations of B µ around its "uniform" component turn the holons into semions. Since semionic spinless excitations have the same Fermi surface (FS) of spin 1/2 fermions [22,23], the above π flux converts the fermionic holon with tight-binding dispersion…”

Section: General Outline Of the Approachmentioning

confidence: 99%

FL* Approach to the Coexistence of Fermi Arcs with Metal–Insulator Crossover in Strongly Underdoped Cuprates

Marchetti

2024

Condensed Matter

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We propose that one can explain the coexistence in the same range of doping and temperature of gapless Fermi arcs with the metal–insulator crossover of in-plane resistivity in strongly underdoped cuprates in terms of the FL* fractionalized Fermi liquid nature of these systems, and that such coexistence is not due simply to disorder effects in the resistivity. The particle excitations of this FL* system derived from variants of the t-J model are the gapless holon carrying charge with small Fermi momentum proportional to the doping, the gapful spinon carrying spin 1/2, and an emergent gauge field coupling them and the hole as a spinon–holon bound state, or more precisely resonance, due to gauge binding, with a Fermi surface respecting the topological Luttinger theorem. In our proposal, Fermi arcs are determined by the hole resonance, whereas the metal–insulator crossover is dominated by spinon–spinon (with subleading holon–holon) gauge interactions, and this dichotomy is able to explain their coexistence.

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“…The fluctuations of B µ around its "uniform" component turn the holons into semions. Since semionic spinless excitations have the same Fermi surface (FS) of spin 1/2 fermions [21,22] the above π flux converts the fermionic holon with tight-binding dispersion…”

Section: General Outline Of the Approachmentioning

confidence: 99%

FL* Approach to the Coexistence of Fermi Arcs with Metal-Insulator Crossover in Strongly Underdoped Cuprates

Marchetti

2023

Preprint

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We propose that the coexistence of gapless Fermi arcs with the metal-insulator crossover of in-plane resistivity in strongly underdoped cuprates can be explained by the FL* fractionalized Fermi liquid nature of these systems and it is not due simply to disorder effects. The particle excitations of this FL* system derived from variants of the t-J model are: the gapless holon carrying charge with small Fermi momentum proportional to the doping, the gapful spinon carrying spin 1/2, gauge fluctuations coupling them and the hole as a spinon-holon bound state or resonance due to gauge binding with a Fermi surface respecting the topological Luttinger theorem. In our proposal Fermi arcs are determined by the hole resonance, whereas the metal-insulator crossover is dominated by spinon-spinon (with subleading holon-holon) gauge interactions and this dichotomy is able to explain their coexistence.

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Charge carriers with fractional exclusion statistics in cuprates

Cited by 4 publications

References 47 publications

Fractional Statistics of Charge Carriers in the One- and Two-Dimensional t-J Model: A Hint for the Cuprates?

Fractional Statistics of Charge Carriers in the One- and Two-Dimensional t-J Model: A Hint for the Cuprates?

FL* Approach to the Coexistence of Fermi Arcs with Metal–Insulator Crossover in Strongly Underdoped Cuprates

FL* Approach to the Coexistence of Fermi Arcs with Metal-Insulator Crossover in Strongly Underdoped Cuprates

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