A unified theory of ferromagnetic quantum phase transitions in heavy fermion metals

Wang, Jiangfan; Yang, Yi-feng

doi:10.1007/s11433-022-1879-2

Cited by 16 publications

(10 citation statements)

References 43 publications

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“…But DMFT is a black box incorporating many effects that are hard to extract. Here, motivated by the recent development of Schwinger boson approach for studying heavy fermion quantum phase transitions [97][98][99][100][101][102][103][104] , we adopt one-loop approximation and solve the following self-energy equations:…”

Section: Methodsmentioning

confidence: 99%

“…In this work, we propose an alternative approach based on the fermionic representation. Our method is motivated by the recent development of Schwinger boson approach [94][95][96][97][98][99][100][101][102][103][104] to heavy fermion systems. Instead of using Born approximation, we introduce a fermionic auxiliary field to decouple the kinetic term and use selfconsistent one-loop approximation to calculate the quasiparticle spectra.…”

Section: Introductionmentioning

confidence: 99%

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Dynamic charge Kondo effect and a slave fermion approach to the Mott transition

Long¹,

Wang²,

Yang³

2022

Preprint

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Mott transition plays a key role in strongly correlated physics but its nature is not yet fully understood. Motivated by recent development of Schwinger boson approach for the Kondo lattice, we propose in this work a novel slave fermion algorithm to study the Mott transition. Upon local approximation, our method yields a phase diagram with a zero-temperature continuous (Mott) metal-insulator transition at finite Coulomb interaction U for the half-filled one-band Hubbard model on a square lattice, and the resistivity exhibits a critical scaling around the quantum Widom line. We argue that the Mott transition may be associated with a dynamic charge Kondo effect of local degenerate doublon and holon states, causing sharp resonances on the doublon/holon and electron spectra. The transition is pushed to U = 0 once intersite antiferromagnetic correlations are included, in agreement with exact numerical calculations. Our approach captures some essential features of the Mott transition and offers an alternative angle to view this important problem. It can be extended to study other correlated electron models with more complicated local interactions.

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Section: Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Dynamic charge Kondo effect and a slave fermion approach to the Mott transition

Long¹,

Wang²,

Yang³

2022

Preprint

Self Cite

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“…These may be compared to the experimental phase diagrams in CePdAl [59] and Yb(Rh 1−y Ir y ) 2 Si 2 [71]. Our method can be readily extended to other Kondo systems with geometric frustrations [72]. For the triangular lattice, an effective gauge theory beyond the large-N mean-field approximation can be derived for the intermediate phase and identify it as a fractionalized heavy fermion liquid with long-lived, heavy holon quasiparticles coupled to Z 2 gauge fields [73].…”

Section: Quantum Phase Transitionsmentioning

confidence: 99%

An emerging global picture of heavy fermion physics

Yang¹

2022

Preprint

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Recent progresses using state-of-the-art experimental techniques have motivated a number of new insights on heavy fermion physics. This article gives a brief summary of the author's research along this direction. We discuss five major topics including: (1) Development of phase coherence at high temperatures;(2) Two-fluid behavior below the coherence temperature; (3) Quantum phase transitions at zero temperature; (4) Quantum critical superconductivity; (5) Material-specific properties. These cover the most essential parts of heavy fermion physics and lead to an emerging global picture beyond conventional theories based on mean-field or local approximations.

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“…The holons are described by a fermionic auxiliary field χ ia and emerge from the Kondo coupling between spinons and conduction electrons via a Hubbard-Stratonovich transformation, [12,[31][32][33][34][35][36][37]. We have eventually an interacting system consisting of spinons, holons, and conduction electrons [38]:…”

mentioning

confidence: 99%

“…Upon increasing κ, the spinons condense on the corner points of the hexagonal Brillouin zone, leading to the 120 • Néel order [28,30]. The electron-spinon-holon vertex leads to the following self-energy equations [12,36]:…”

mentioning

confidence: 99%

$\mathbb{Z}_2$ metallic spin liquid on a frustrated Kondo lattice

Wang,

Yang

2022

Preprint

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A unified theory of ferromagnetic quantum phase transitions in heavy fermion metals

Cited by 16 publications

References 43 publications

Dynamic charge Kondo effect and a slave fermion approach to the Mott transition

Dynamic charge Kondo effect and a slave fermion approach to the Mott transition

An emerging global picture of heavy fermion physics

$\mathbb{Z}_2$ metallic spin liquid on a frustrated Kondo lattice

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