Fermi surface reconstruction in hole-doped<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>t</mml:mi><mml:mo>−</mml:mo><mml:mi>J</mml:mi></mml:mrow></mml:math>models without long-range antiferromagnetic order

Punk, Matthias; Sachdev, Subir

doi:10.1103/physrevb.85.195123

Cited by 47 publications

(63 citation statements)

References 33 publications

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“…Such an approach was developed also in Ref. [19] to describe the formation of spin liquid state in terms of frustrations in localized-spin subsystems, the Schwinger boson representation being used for the latter. One can see that according to (16) the distribution functions of dopons and physical electrons are simply related as c † kσc kσ = −(…”

Section: Slave-particle Representationsmentioning

confidence: 99%

Quantum topological transitions and spinons in metallic ferro- and antiferromagnets

Irkhin

2019

Physics Letters A

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An effective Hamiltonian describing fluctuation effects in the magnetic phases of the Hubbard model in terms of spinon excitations is derived. A comparison of spin-rotational Kotliar-Ruckenstein slave boson and Ribeiro-Wen dopon representations is performed. The quantum transition into the half-metallic ferromagnetic state with vanishing of spin-down Fermi surface is treated as the topological Lifshitz transition in the quasimomentum space. The itinerant-localized magnetism transitions and Mott transition in antiferromagnetic state are considered in the topological context. Related metal-insulator transitions in Heusler alloys are discussed.

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Section: Slave-particle Representationsmentioning

confidence: 99%

Quantum topological transitions and spinons in metallic ferro- and antiferromagnets

Irkhin

2019

Physics Letters A

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“…It is interesting that the t− J model obtained from the oneband Hubbard model is also formally reduced to a similar structure in the representation (7) with auxiliary rather than physical particles p i . Thus the Hubbard model and the model (12) can be considered in a parallel way [10].…”

Section: Theoretical Models and Slave Particle Representationsmentioning

confidence: 99%

Electron States and Magnetic Phase Diagrams of Strongly Correlated Systems

Irkhin

Igoshev

2018

Phys. Metals Metallogr.

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Various auxiliary-particle approaches to treat electron correlations in many-electron models are analyzed. Applications to copper-oxide layered systems are discussed. The ground-state magnetic phase diagrams are considered within the Hubbard and s-d exchange (Kondo) models for square and simple cubic lattices vs. band filling and interaction parameter. A generalized Hartree-Fock approximation is employed to treat commensurate ferro-, antiferromagnetic, and incommensurate (spiral) magnetic phases, and also magnetic phase separation. The correlations are taken into account within the Hubbard model by using the slave-boson approach. The main advantage of this approach is correct estimating the contribution of doubly occupied states number and therefore the paramagnetic phase energy. PACS numbers: 71.27.+a, 75.10.Lp, 71.30.+h Magnetic properties of strongly correlated transitionmetal compounds and their relation to doping, lattice geometry, band structure and interaction parameters are still being extensively investigated. In particular, the details of magnetic order in the ground state remain to be examined both theoretically and experimentally. During recent decades, the two-dimensional (2D) case closely related to the problem of high-temperature superconductivity in cuprates and iron arsenides has been intensively investigated theoretically.The ground state of strongly correlated systems is characterized by a competition of ferromagnetic (FM) and antiferromagnetic (AFM) ordering which results in occurrence of spiral magnetic ordering [1] or the magnetic phase separation [1][2][3]. The consideration of these problems is performed within a number of many-electron models. In the present work we discuss theoretical approaches to treat these model within auxiliary-particle representations (Sect.1) and present some results of numerical calculations (Sect.2). I. THEORETICAL MODELS AND SLAVE PARTICLE REPRESENTATIONSTo describe the properties of such systems one uses many-electron models like the Hubbard, s-d exchange (Kondo) and Anderson lattice models. These are widely applied, e. g., for high-T c cuprates and rare earth compounds. There exist some relations (mappings) between these models in various parameter regions.The Hamiltonian of the Hubbard model readswhere c † iσ are electron creation operators. In the limit of large Hubbard parameter U and band filling n < 1 (hole doping) this is reduced to the t − J modeli | are the Hubbard X-operators acting on the i site local subspace [4], J ij = 2t 2 ij /U . To proceed with analytical and numerical calculations, it is convenient to use auxiliary ("slave") boson and fermion representations. In connection with the theory of high-temperature superconductors, Anderson [5] put forward the idea of the separation of the spin and charge degrees of freedom of electron (σ = ±1):Here, f † iσ are the creation operators for neutral fermions (spinons), and e † i , d † i are the creation operators for charged spinless bosons (holons and doublons). For large U , we have to retain only ...

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“…In absence of any symmetry breaking long-range order, this can be possible only in the presence of excitations of emergent gauge fields. A phase which realizes such a Fermi surface is called a fractionalized Fermi liquid (FL*) [6][7][8][9][10][11][12].…”

Section: Introductionmentioning

confidence: 99%

Fractionalized Fermi liquid with bosonic chargons as a candidate for the pseudogap metal

Chatterjee

Sachdev

2016

Phys. Rev. B

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Doping a Mott-insulating Z 2 spin liquid can lead to a fractionalized Fermi liquid (FL*). Such a phase has several favorable features that make it a candidate for the pseudogap metal for the underdoped cuprates. We focus on a particular, simple Z 2 -FL* state which can undergo a confinement transition to a spatially uniform superconductor which is smoothly connected to the "plain vanilla" BCS superconductor with d-wave pairing. Such a transition occurs by the condensation of bosonic particles carrying +e charge but no spin ("chargons"). We show that modifying the dispersion of the bosonic chargons can lead to confinement transitions with charge density waves and pair density waves at the same wave vector K, coexisting with d-wave superconductivity. We also compute the evolution of the Hall number in the normal state during the transition from the plain vanilla FL* state to a Fermi liquid, and argue, following Coleman, Marston, and Schofield [Phys. Rev. B 72, 245111 (2005)], that it exhibits a discontinuous jump near optimal doping. We note the distinction between these results and those obtained from models of the pseudogap with fermionic chargons.

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Fermi surface reconstruction in hole-dopedt−Jmodels without long-range antiferromagnetic order

Cited by 47 publications

References 33 publications

Quantum topological transitions and spinons in metallic ferro- and antiferromagnets

Quantum topological transitions and spinons in metallic ferro- and antiferromagnets

Electron States and Magnetic Phase Diagrams of Strongly Correlated Systems

Fractionalized Fermi liquid with bosonic chargons as a candidate for the pseudogap metal

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