Long-term memory magnetic correlations in the Hubbard model: A dynamical mean-field theory analysis

Article Materials Science, Multidisciplinary

Spin dynamics of itinerant electrons: Local magnetic moment formation and Berry phase

E. A. Stepanov et al.

Summary: This article discusses the theoretical description of magnetic materials, highlights the presence of local magnetic moments at high temperatures, and provides a deeper understanding of spin behavior through path-integral techniques.

PHYSICAL REVIEW B (2022)

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Article Materials Science, Multidisciplinary

Local magnetic moment formation and Kondo screening in the half-filled single-band Hubbard model

T. B. Mazitov et al.

Summary: This study investigates the formation of local magnetic moments in the strongly correlated Hubbard model using dynamical mean-field theory, linking the temperature dependence of local charge and spin susceptibilities to different stages of local moment formation. The relationship between the Kondo temperature and the fingerprint criterion is discussed, with similarities near the Mott transition and slight discrepancies further away. Additionally, the behavior of eigenvectors/eigenvalues of fermionic frequency-resolved charge susceptibility and divergences of irreducible vertices is considered in relation to the observed features.

PHYSICAL REVIEW B (2022)

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Article Physics, Multidisciplinary

Nevanlinna Analytical Continuation

Jiani Fei et al.

Summary: By explicitly respecting the analytic Nevanlinna structure of Green's function, this study shows that positive and normalized spectral functions can be obtained, and presents a continued fraction expansion method to derive all possible functions consistent with the analytic structure. Application to synthetic trial data and the band structure of silicon demonstrate the accurate resolution of sharp, smooth, and multipeak data, as well as high energy features. Continuations in a realistic correlated setup reveal previously unresolved additional features, substantially increasing the resolution of real frequency calculations and overcoming a main limitation of finite-temperature quantum simulations.

PHYSICAL REVIEW LETTERS (2021)

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Article Physics, Multidisciplinary

Fingerprints of the Local Moment Formation and its Kondo Screening in the Generalized Susceptibilities of Many-Electron Problems

P. Chalupa et al.

Summary: This study identified the characteristics of local magnetic moment formation and Kondo screening in the frequency structure of generalized charge susceptibility, providing a new criterion to determine the Kondo temperature on the two-particle level. The results represent a significant progress in the general understanding of quantum field theory at the two-particle level and enable tracing the limits of physics captured by perturbative approaches for correlated systems.

PHYSICAL REVIEW LETTERS (2021)

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Article Physics, Multidisciplinary

Multipoint Correlation Functions: Spectral Representation and Numerical Evaluation

Fabian B. Kugler et al.

Summary: This passage discusses two approaches to studying the many-body problem, connecting results through spectral representations. Generalized spectral representations for multipoint correlation functions in various many-body frameworks are derived, emphasizing the relationship and properties of the different formalisms. Numerical results for specific models are presented, analyzing the evolution of the vertex at different temperatures and interactions in Matsubara and Keldysh formalisms.

PHYSICAL REVIEW X (2021)

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Article Physics, Multidisciplinary

Gauge invariance and Ward identities in nonlinear response theory

Habib Rostami et al.

Summary: In this study, a formal analysis of nonlinear response functions in real-and imaginary-time domains is presented, showing causal nonlinear response functions can be obtained from analytic continuation of time ordered response functions. Exact relations between second-order response functions in density and current channels are derived using gauge invariance arguments, allowing for exact connections between nonlinear optics calculations in different electromagnetic gauges.

ANNALS OF PHYSICS (2021)

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Article Materials Science, Multidisciplinary

Pairing enhanced by local orbital fluctuations in a model for monolayer FeSe

Changming Yue et al.

Summary: Using dynamical mean-field theory calculations, this study on FeSe monolayers provides an alternative explanation for superconductivity focusing on local orbital fluctuations and phase rigidity. The research clarifies the relation between the superconducting order parameter, superfluid stiffness, and orbital fluctuations, connecting the spin/orbital freezing theory of unconventional superconductivity with theoretical works considering the role of nematic fluctuations.

PHYSICAL REVIEW B (2021)

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Article Materials Science, Multidisciplinary

Antiferromagnetic magnons and local anisotropy: Dynamical mean-field study

A. Niyazi et al.

Summary: In this study, we explored the dynamical mean-field properties of antiferromagnetic magnons in a one-, two-, and three-orbital Hubbard model under intermediate coupling strength. The effects of anisotropy introduced by external magnetic field or single-ion anisotropy were investigated, with a continuous tuning between easy-axis and easy-plane models. It was found that ordered states and magnetic excitations are sensitive to even small breaking of SU(2) symmetry of the model, in line with spin-wave theory and general symmetry considerations.

PHYSICAL REVIEW B (2021)

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Article Materials Science, Multidisciplinary

Dynamical vertex approximation for many-electron systems with spontaneously broken SU(2) symmetry

Lorenzo Del Re et al.

Summary: This study generalized the formalism of the dynamical vertex approximation (D Gamma A) for treating magnetically ordered phases. By performing ladder resummations of Feynman diagrams in systems with broken SU(2) symmetry, the simplified algorithms and self-energy expressions for ferromagnetic and antiferromagnetic ordered phases were derived, providing reliable guidance for future applications. The results captured fundamental aspects of metallic and insulating ground states in two-dimensional antiferromagnets, with possible routes outlined for further development in diagrammatic-based treatments of magnetic phases in correlated electron systems.

PHYSICAL REVIEW B (2021)

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Article Materials Science, Multidisciplinary

Unconventional pairing from local orbital fluctuations in strongly correlated A3C60

Changming Yue et al.

Summary: The study found that local orbital fluctuations are significantly enhanced in the superconducting state of A(3)C(60) fulleride superconductors, providing the pairing glue and supporting the spin/orbital freezing theory of unconventional superconductivity. Additionally, the results are consistent with the experimentally observed universal relation between the gap energy and local susceptibility in a wide range of unconventional superconductors.

PHYSICAL REVIEW B (2021)

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Article Materials Science, Multidisciplinary

Analytical continuation of matrix-valued functions: Caratheodory formalism

Jiani Fei et al.

Summary: Finite-temperature quantum field theories are formulated using Green's functions and self-energies on the Matsubara axis. In multiorbital systems, these quantities are related to positive semidefinite matrix-valued functions of the Caratheodory and Schur class, and analytic continuation is required to move off-diagonal elements to the real axis. Results show that for small systems with precise Matsubara data, the continuation can accurately recover all elements; while in real-materials systems, the precision of the continuation is sufficient for compatibility with the Dyson equation.

PHYSICAL REVIEW B (2021)

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Article Physics, Multidisciplinary

Characteristic Timescales of the Local Moment Dynamics in Hund's Metals

C. Watzenboeck et al.

PHYSICAL REVIEW LETTERS (2020)

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Article Physics, Multidisciplinary

Bethe-Salpeter Equation at the Critical End Point of the Mott Transition

Erik G. C. P. van Loon et al.

PHYSICAL REVIEW LETTERS (2020)

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Article Physics, Multidisciplinary

Osmates on the Verge of a Hund's-Mott Transition: The Different Fates of NaOsO3 and LiOsO3

Daniel Springer et al.

PHYSICAL REVIEW LETTERS (2020)

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Article Physics, Multidisciplinary

Attractive Effect of a Strong Electronic Repulsion: The Physics of Vertex Divergences

M. Reitner et al.

PHYSICAL REVIEW LETTERS (2020)

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Article Materials Science, Multidisciplinary

Statistical error estimates in dynamical mean-field theory and extensions thereof

Patrick Kappl et al.

PHYSICAL REVIEW B (2020)

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Article Computer Science, Interdisciplinary Applications

w2dynamics: Local one- and two-particle quantities from dynamical mean field theory

Markus Wallerberger et al.

COMPUTER PHYSICS COMMUNICATIONS (2019)

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Article Physics, Multidisciplinary

Charge Disproportionation, Mixed Valence, and Janus Effect in Multiorbital Systems: A Tale of Two Insulators

Aldo Isidori et al.

PHYSICAL REVIEW LETTERS (2019)

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Article Materials Science, Multidisciplinary

Two-particle Fermi liquid parameters at the Mott transition: Vertex divergences, Landau parameters, and incoherent response in dynamical mean-field theory

Friedrich Krien et al.

PHYSICAL REVIEW B (2019)

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Article Materials Science, Multidisciplinary

Symmetric improved estimators for continuous-time quantum Monte Carlo

J. Kaufmann et al.

PHYSICAL REVIEW B (2019)

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Article Physics, Multidisciplinary

Diagrammatic routes to nonlocal correlations beyond dynamical mean field theory

G. Rohringer et al.

REVIEWS OF MODERN PHYSICS (2018)

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Article Materials Science, Multidisciplinary

Enhanced pairing susceptibility in a photodoped two-orbital Hubbard model

Philipp Werner et al.

PHYSICAL REVIEW B (2018)

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Article Physics, Multidisciplinary

Anomalous Spin Precession under a Geometrical Torque

Christopher Stahl et al.

PHYSICAL REVIEW LETTERS (2017)

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Article Physics, Multidisciplinary

Breakdown of Traditional Many-Body Theories for Correlated Electrons

O. Gunnarsson et al.

PHYSICAL REVIEW LETTERS (2017)

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Article Physics, Fluids & Plasmas

Hypothesis testing of scientific Monte Carlo calculations

Markus Wallerberger et al.

PHYSICAL REVIEW E (2017)

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Article Physics, Condensed Matter

Mott insulators and the doping-induced Mott transition within DMFT: exact results for the one-band Hubbard model

David E. Logan et al.

JOURNAL OF PHYSICS-CONDENSED MATTER (2016)

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Article Physics, Multidisciplinary

Bad-Metal Behavior Reveals Mott Quantum Criticality in Doped Hubbard Models

J. Vucicevic et al.

PHYSICAL REVIEW LETTERS (2015)

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Article Physics, Multidisciplinary

Superconductivity from Emerging Magnetic Moments

Shintaro Hoshino et al.

PHYSICAL REVIEW LETTERS (2015)

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Article Materials Science, Multidisciplinary

Spin-boson coupling in continuous-time quantum Monte Carlo

Junya Otsuki

PHYSICAL REVIEW B (2013)

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Article Materials Science, Multidisciplinary

Magnetic fluctuations and effective magnetic moments in γ-iron due to electronic structure peculiarities

P. A. Igoshev et al.

PHYSICAL REVIEW B (2013)

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Article Materials Science, Multidisciplinary

Quantum dynamical screening of the local magnetic moment in Fe-based superconductors

A. Toschi et al.

PHYSICAL REVIEW B (2012)

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Article Materials Science, Multidisciplinary

Electronic structure of nickelates: From two-dimensional heterostructures to three-dimensional bulk materials

P. Hansmann et al.

PHYSICAL REVIEW B (2010)

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Article Materials Science, Multidisciplinary

Generic susceptibilities of the half-filled Hubbard model in infinite dimensions

Carsten Raas et al.

PHYSICAL REVIEW B (2009)

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Article Physics, Multidisciplinary

Spin Freezing Transition and Non-Fermi-Liquid Self-Energy in a Three-Orbital Model

Philipp Werner et al.

PHYSICAL REVIEW LETTERS (2008)

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Review Physics, Multidisciplinary

Quantum cluster theories

T Maier et al.

REVIEWS OF MODERN PHYSICS (2005)

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Article Physics, Multidisciplinary

Strongly correlated materials: Insights from dynamical mean-field theory

G Kotliar et al.

PHYSICS TODAY (2004)

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Article Materials Science, Multidisciplinary

Diagrammatic quantum Monte Carlo study of the Frohlich polaron

AS Mishchenko et al.

PHYSICAL REVIEW B (2000)

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Long-term memory magnetic correlations in the Hubbard model: A dynamical mean-field theory analysis

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