Anderson localization in an interacting fermionic system
read the original abstract
In the present article, we discuss the role played by the interaction in the Anderson localization problem, for a system of interacting fermions in a one-dimensional disordered lattice, described by the Fermi Hubbard Hamiltonian, in presence of an on-site random potential. We show that, given the proper identification of the elementary excitations of the system described in terms of doublons and unpaired particles, the Anderson localization picture survives. Ensuing a "global quench", we show that the system exhibits a rich localization scenario, which can be ascribed to the nearly-free dynamics of the elementary excitations of the Hubbard Hamiltonian.
This paper has not been read by Pith yet.
Forward citations
Cited by 10 Pith papers
-
To select or not to select: predictively consistent priors instead of model selection
Predictively consistent priors let complex Bayesian models match or beat the out-of-sample performance of selected simpler models across linear, logistic, and nonlinear examples without explicit selection.
-
Optimal sequential two-stage Bayes Factor Design for two-arm clinical Phase II Trials with binary Endpoints
Derives exact operating characteristic corrections and a numerical search over sample sizes to obtain optimal two-stage Bayes factor designs for two-arm binary-endpoint phase II trials that minimize expected sample si...
-
A renormalization-group inspired lattice-based framework for piecewise generalized linear models
RG-inspired lattice models for piecewise GLMs provide explicit interpretable partitions and a replica-analysis-derived scaling law for regularization that allows increasing complexity without expected rise in generali...
-
Quantifying Evidential Rigor in Meta-Analytic Corpora: A Simulation-Characterized, Bias-Robust Bayesian Workflow with a Nutrition Case Study
Introduces a corpus-scale Bayesian evidential-audit workflow that defines rigor as combined Bayes-factor evidence for effect or no-effect plus absence of explicit bias components, validated via simulations and applied...
-
Medical Model Synthesis Architectures: A Case Study
MedMSA framework retrieves knowledge via language models then builds formal probabilistic models to produce uncertainty-weighted differential diagnoses from symptoms.
-
Balancing Evidentiary Value and Sample Size of Adaptive Designs with Application to Animal Experiments
The paper introduces the EUII, derived from diagnostic likelihood ratios adjusted for sample size, to quantify evidentiary value per experimental unit and applies it to group-sequential adaptive designs for animal research.
-
A Workflow for Evaluating Regional Treatment Effect Heterogeneity in Multi-Regional Clinical Trials
The paper introduces a question-driven framework and set of statistical methods for exploratory assessment of regional treatment effect heterogeneity in multi-regional clinical trials, evaluated via simulations under ...
-
Implementation and Workflows for INLA-Based Approximate Bayesian Structural Equation Modelling
INLAvaan is an R package delivering calibrated posterior summaries for complex Bayesian SEM models in seconds rather than hours, demonstrated on a 256-parameter bifactor model and a multilevel mediation model with mis...
-
Applying the Weibull Shape Parameter test for signal detection in pharmacovigilance using the R package WSPsignal
An R package was created to consolidate and tune Weibull-based tests for pharmacovigilance signal detection using temporal health record data.
-
Applied Statistics Requires Scientific Context
The paper argues that statistical inference requires nuanced scientific context and that universal significance thresholds should be abandoned.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.