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Dynamical mean-field theory computations of the electron self energy of the Hubbard-Holstein model as a function of electron-phonon and electron-electron interactions are analyzed to gain insight into the dependence of electron-phonon…

Strongly Correlated Electrons · Physics 2025-05-14 Jennifer Coulter , Andrew J. Millis

The electronic structure of condensed matter can be significantly affected by the electron-phonon interaction, leading to important phenomena such as electrical resistance, superconductivity or the formation of polarons. This interaction is…

On the basis of first-principles calculations and the special displacement method, we demonstrate the quantum confinement scaling law of the phonon-induced gap renormalization of graphene quantum dots (GQDs). We employ zigzag-edged GQDs…

Materials Science · Physics 2021-10-19 Marios Zacharias , Pantelis C. Kelires

The thermodynamic and spectral properties of electrons coupled to quantum phonons are studied within the spinless Holstein model. Using quantum Monte Carlo simulations, we obtain accurate results for the specific heat and the…

Strongly Correlated Electrons · Physics 2018-12-12 Manuel Weber , Fakher F. Assaad , Martin Hohenadler

We construct a many-body model Hamiltonian to capture how phonons renormalize exciton binding as a function of temperature. By using the GW approximation and density functional perturbation theory, we are able to parameterize this…

Materials Science · Physics 2026-03-25 Rohit Rana , Eric R. Heller , Antonios M. Alvertis , Jeffrey B. Neaton , David T. Limmer

Theory of electron-acoustic single phonon scattering has been reconsidered. It is assumed that the non-degenerate semiconductor has a spherical parabolic band structure. In the basis of the reconsideration there is a phenomenon of the…

Materials Science · Physics 2015-06-15 S. V. Melkonyan , A. L. Harutyunyan , T. A. Zalinyan

In the past five years enormous progress has been made in the ab initio calculations of the optical response of electrons in semiconductors. The calculations include the Coulomb interaction between the excited electron and the hole left…

Materials Science · Physics 2015-06-24 Manuel Cardona

A model of alloy is considered which includes both quenched disorder in the electron subsystem (``alloy'' subsystem) and electron-phonon interaction. For given approximate solution for the alloy part of the problem, which is assumed to be…

Superconductivity · Physics 2015-06-25 A. O. Anokhin , M. I. Katsnelson

The coupling of atomic vibrations to electronic excitations - traditionally understood to be a source of energy loss in semiconductors - has recently been explored in photosynthetic light harvesting as a means to circumvent dissipation by…

Materials Science · Physics 2026-02-04 Yifan Liu , Robert Dawson , Nathaniel Gabor , Vivek Aji

The occurrence of thermal transport phenomena is widespread, exerting a pivotal influence on the functionality of diverse electronic and thermo-electric energy-conversion devices. The traditional first-principles theory governing the…

Materials Science · Physics 2026-05-20 Soham Mandal , Manish Jain , Prabal K. Maiti

Eliashberg's foundational theory of superconductivity is based on the application of Migdal's approximation, which states that vertex corrections to first order electron-phonon scattering are negligible if the ratio between phonon and…

Superconductivity · Physics 2021-02-26 Fabian Schrodi , Alex Aperis , Peter M. Oppeneer

Quasi-one-dimensional bismuth halides offer an exceptional platform for exploring diverse topological phases, yet the nature of the room-temperature topological phase transition in Bi$_4$I$_4$ remains unresolved. While theory predicts the…

Materials Science · Physics 2025-08-26 Wenjie Hu , Jiayi Gong , Yuhui Qiu , Lexian Yang , Jin-Jian Zhou , Yugui Yao

We develop an approximate theory of phonon-induced topological insulation in Dirac materials. In the weak coupling regime, long wavelength phonons may favor topological phases in Dirac insulators with direct and narrow bandgaps. This…

Strongly Correlated Electrons · Physics 2014-05-09 Kush Saha , Ion Garate

It is shown on the basis of the multiplicative renormalization-group method of two-loop order that the low-energy effective Hamiltonian of a strongly coupled local electron-phonon system is mapped to the two-channel Kondo model. A phonon is…

Condensed Matter · Physics 2009-10-28 Hiroaki Kusunose , Kazumasa Miyake

The temperature renormalization of the bulk band structure of a topological crystalline insulator, SnTe, is calculated using first principles methods. We explicitly include the effect of thermal-expansion-induced modification of electronic…

Using indium as a test case, we investigate the accuracy of the electron-phonon coupling calculated with state-of-the-art ab initio and many-body theory methods. The ab initio calculations -- where electrons are treated in the local-density…

Superconductivity · Physics 2016-08-31 Sven P. Rudin , R. Bauer , Amy Y. Liu , J. K. Freericks

We develop a first-principles theory of phonon-assisted optical absorption in semiconductors and insulators which incorporates the temperature dependence of the electronic structure. We show that the Hall-Bardeen-Blatt theory of indirect…

Materials Science · Physics 2015-10-22 Marios Zacharias , Christopher E. Patrick , Feliciano Giustino

We present electron and phonon spectral functions calculated from determinant quantum Monte Carlo simulations of the half-filled two-dimensional Hubbard-Holstein model on a square lattice. By tuning the relative electron-electron ($e$-$e$)…

Strongly Correlated Electrons · Physics 2015-10-15 E. A. Nowadnick , S. Johnston , B. Moritz , T. P. Devereaux

We investigate a second-order topological quantum transition of a modified Kane-Mele model driven by electron-phonon interaction. The results show that the system parameters of the bare modified Kane-Mele model are renormalized by the…

Mesoscale and Nanoscale Physics · Physics 2023-03-28 Congwei Lu , Mei Zhang , Haibo Wang , Qing Ai , Tao Liu

A first principles analysis of order-disorder transition in alloys shows that ordering energy is a function of temperature due to thermal vibrations. The inter-nuclear potential energy term converges if zero point vibrations are…

Materials Science · Physics 2008-12-02 T. R. S. Prasanna