5 papers
Critical Free-Energy Variance in the Sherrington-Kirkpatrick Model
Miguel Tierz
We study the variance of the free energy in the Gaussian Sherrington-Kirkpatrick model at zero external field. For every system size and inverse temperature , we prove $2N^2\o…
Inter-harmonic ratio structure and saturation of Bernstein modes in graphene
Miguel Tierz
Bernstein modes (BM) in graphene are finite-wavevector magnetoplasmons excited by contact near fields, whereas ordinary cyclotron resonance (CR) probes . We derive the B…
Amplitudes of Hall field-induced resistance oscillations with a two-harmonic density of states
Miguel Tierz
We derive explicit strong-field asymptotics for the normalized differential resistance in Hall field-induced resistance oscillations (HIRO) within the Vavilov-Aleiner-Glazman kinet…
Radial selection rule for the breathing mode of a harmonically trapped gas
Miguel Tierz
Within a fixed hyperangular channel of a harmonically trapped system, the perturbation is absorbed exactly into a shift of the channel parameter, , so the s…
Work statistics of sudden quantum quenches: A random matrix theory perspective on Gaussianity and its deviations
Miguel Tierz
We show that, for sudden quenches, the work distribution reduces to the statistics of the traces of powers of Haar unitaries, which are random unitary matrices drawn uniformly from…