8 papers
Effective delocalization in the one-dimensional Anderson model with stealthy disorder
Carlo Vanoni, Jonas Karcher, Mikael C. Rechtsman +3
We study analytically and numerically the Anderson model in one dimension with "stealthy" disorder, defined as having a power spectrum that vanishes in a continuous band of wave nu…
Universal Relation between Spectral and Wavefunction Properties at Criticality
Simon Jiricek, Miroslav Hopjan, Vladimir Kravtsov +2
Quantum-chaotic systems exhibit several universal properties, ranging from level repulsion in the energy spectrum to wavefunction delocalization. On the other hand, if wavefunction…
Trotter transition in BCS pairing dynamics
Aniket Patra, Emil A. Yuzbashyan, Boris L. Altshuler +1
We study universal aspects of thermalization induced by Trotterization, a procedure routinely used in gate-based quantum computation. We use the reduced-BCS model -- quantum integr…
Instability of metals with respect to strong electron-phonon interaction
Emil A. Yuzbashyan, Boris L. Altshuler, Aniket Patra
We show that thermal equilibrium between conduction electrons and phonons becomes kinetically unstable when the renormalized electron-phonon coupling exceeds a certain threshold. W…
Bounds on in the Eliashberg theory of Superconductivity. III: Einstein phonons
Michael K. -H. Kiessling, Boris L. Altshuler, Emil A. Yuzbashyan
The dispersionless limit of the standard Eliashberg theory of superconductivity is studied. The effective electron-electron interactions are mediated by Einstein phonons of frequen…
Bounds on in the Eliashberg theory of Superconductivity. I: The -model
Michael K. -H. Kiessling, Boris L. Altshuler, Emil A. Yuzbashyan
Using the recent reformulation for the Eliashberg theory of superconductivity in terms of a classical interacting Bloch spin chain model, rigorous upper and lower bounds on the cri…