Hanna Terletska

Middle Tennessee State University

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Mark Jarrell

Marshall University

Juana Moreno

Louisiana State University

Ka-Ming Tam

Louisiana State University

V. Dobrosavljević

National High Magnetic Field Laboratory

L. Chioncel

University of Augsburg

Emanuel Gull

University of Michigan–Ann Arbor

Chinedu Ekuma

Lehigh University

N. S. Vidhyadhiraja

Jawaharlal Nehru Centre for Advanced Scientific Research

Sergei Iskakov

University of Michigan–Ann Arbor

Shuxiang Yang

Louisiana State University

Cooperative Institutions

Louisiana State University

Chinese Academy of Sciences

University of Michigan–Ann Arbor

Oak Ridge National Laboratory

Florida State University

ETH Zurich

National High Magnetic Field Laboratory

University of Chinese Academy of Sciences

University of Augsburg

Louisiana State University Agricultural Center

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Study of off-diagonal disorder using the typical medium dynamical cluster approximation

Physical Review B (2014)

Hanna Terletska Chinedu Ekuma Conrad Moore Ka-Ming Tam Juana Moreno

We generalize the typical medium dynamical cluster approximation (TMDCA) and the local Blackman, Esterling, and Berk (BEB) method for systems with off-diagonal disorder. Using our extended formalism we perform a systematic study of the effects of non-local disorder-induced correlations and of off-diagonal disorder on the density of states and the mobility edge of the Anderson localized states. We apply our method to the three-dimensional Anderson model with configuration dependent hopping and find fast convergence with modest cluster sizes. Our results are in good agreement with the data obtained using exact diagonalization, and the transfer matrix and kernel polynomial methods.

Formalism (music)

Transfer matrix

Anderson impurity model

Diagonal matrix

Kernel (algebra)

Density matrix

10.1103/physrevb.90.094208

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Citations (24)

Nonequilibrium DMFT+CPA for Correlated Disordered Systems

arXiv (Cornell University) (2021)

Eric Dohner Hanna Terletska Ka-Ming Tam Juana Moreno Herbert Fotso

We present a solution for the nonequilibrium dynamics of an interacting disordered system. The approach adapts the combination of the equilibrium dynamical mean field theory (DMFT) and the equilibrium coherent potential approximation (CPA) methods to the nonequilibrium many-body formalism, using the Kadanoff-Baym-Keldysh complex time contour, for the dynamics of interacting disordered systems away from equilibrium. We use our time domain solution to obtain the equilibrium density of states of the disordered interacting system described by the Anderson-Hubbard model, bypassing the necessity for the cumbersome analytical continuation process. We further apply the nonequilibrium solution to the interaction quench problem for an isolated disordered system. Here, the interaction is abruptly changed from zero (non-interacting system) to another constant (finite) value at which it is subsequently kept. We observe via the time-dependence of the potential, kinetic, and total energies, the effect of disorder on the relaxation of the system as a function of final interaction strength. The real-time approach has the potential to shed new light on the fundamental role of disorder in the nonequilibrium dynamics of interacting quantum systems.

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Application of the locally self-consistent embedding approach to the Anderson model with non-uniform random distributions

Annals of Physics (2021)

Ka-Ming Tam Yi Zhang Hanna Terletska Yang Wang Markus Eisenbach

Anderson Localization

Anderson impurity model

10.1016/j.aop.2021.168480

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Abstract Submitted for the MAR15 Meeting of The American Physical Society

Weakly Interacting Hanna Terletska Shuangyan Yang Joaquín Moreno Mark Jarrell

obtain the ground-state phase diagram in 3D for the disorder induced paramagnetic metal to insulator transition in the presence of weak interactions. We find that the critical disorder strength (Wc), required to localize all states, increases with increasing U ; implying that the metallic phase is stabilized by interactions. In 2D, our results agree with previous findings on the destruction of the insulating phase by U , while in 1D, we find strong competition between both phases.

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Local theory for Mott-Anderson localization

Physical review. B./Physical review. B (2016)

Sudeshna Sen Hanna Terletska Juana Moreno N. S. Vidhyadhiraja Mark Jarrell

The paramagnetic metallic phase of the Anderson-Hubbard model (AHM) is investigated using a non-perturbative local moment approach within the framework of dynamical mean field theory with a typical medium. Our focus is on the breakdown of the metallic phase near the metal-insulators transition as seen in the single-particle spectra, scattering rates and the associated distribution of Kondo scales. We demonstrate the emergence of a universal, underlying low energy scale, $T_K^{peak}$. This lies close to the peak of the distribution of Kondo scales obtained within the metallic phase of the paramagnetic AHM. Spectral dynamics for energies, $\omega\lesssim T_K^{peak}$ display Fermi liquid universality crossing over to an incoherent universal dynamics for $\omega\gg T_K^{peak}$ in the scaling regime. Such universal dynamics indicate that within a local theory the low to moderately low energy physics is governed by an effective, {\it disorder renormalised} Kondo screening.

Anderson impurity model

Kondo insulator

10.1103/physrevb.94.235104

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Dual fermion method for disordered electronic systems

Physical Review B (2013)

Hanna Terletska Shuxiang Yang Zi Yang Meng Juana Moreno Mark Jarrell

While the coherent potential approximation (CPA) is the prevalent method for the study of disordered electronic systems, it fails to capture nonlocal correlations and Anderson localization. To incorporate such effects, we extend the dual fermion approach to disordered systems using the replica method. The developed method utilizes the exact mapping to the dual fermion variables, and includes intersite scattering via diagrammatic perturbation theory in the dual variables. The CPA is recovered as a zeroth-order approximation. Results for single- and two-particle quantities show good agreement with a cluster extension of the CPA; moreover, weak localization is captured. As a natural extension of the CPA, our method presents an alternative to existing nonlocal cluster theories for disordered systems, and has potential applications in the study of disordered systems with electronic interactions.

Electronic systems

Coupled cluster

Coherent potential approximation

10.1103/physrevb.87.134208

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Erratum: One- and two-particle properties of the weakly interacting two-dimensional Hubbard model in proximity to the van Hove singularity [Phys. Rev. B 106 , 035145 (2022)]

Physical review. B./Physical review. B (2023)

B. D. E. McNiven Hanna Terletska G. Todd Andrews J. P. F. LeBlanc

Received 2 June 2023DOI:https://doi.org/10.1103/PhysRevB.107.239901©2023 American Physical SocietyPhysics Subject Headings (PhySH)TechniquesDiagrammatic methodsFeynman diagramsHubbard modelMonte Carlo methodsPerturbation theoryCondensed Matter, Materials & Applied Physics

Van Hove singularity

10.1103/physrevb.107.239901

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Charge ordering and correlation effects in the extended Hubbard model

Physical review. B./Physical review. B (2017)

Hanna Terletska Tianran Chen Emanuel Gull

We study the half-filled extended Hubbard model on a two-dimensional square lattice using cluster dynamical mean-field theory on clusters of size 8--20. We show that the model exhibits metallic, Mott-insulating, and charge-ordered phases, and determine the location of the charge-ordering phase-transition line and the properties of the phases as a function of temperature, local interaction, and nearest-neighbor interaction. We find strong nonlocal correlations outside the charge-ordered phase and a pronounced screening effect in the vicinity of the phase transition, where nonlocal interactions push the system towards metallic behavior. In contrast, correlations in the charge-ordered phase are mostly local to the unit cell. Finally, we demonstrate how strong nonlocal electron-electron interactions can increase electron mobility by turning a charge-ordered insulator into a metal. We analyze finite-size effects and the convergence of our data to the thermodynamic limit. Control of all sources of errors allows us to assess the regime of applicability of simpler approximation schemes for systems with nonlocal interactions.

10.1103/physrevb.95.115149

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Citations (69)

Non-local corrections to the typical medium theory of Anderson localization

Annals of Physics (2021)

Hanna Terletska Aric Moilanen Ka-Ming Tam Yi Zhang Yang Wang

Anderson Localization

Characterization

10.1016/j.aop.2021.168454

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Citations (1)

MuST: A high performance ab initio framework for the study of disordered structures