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We investigate emergent quantum dynamics of the tilted Ising chain in the regime of a weak transverse field. Within the leading order perturbation theory, the Hilbert space is fragmented into exponentially many decoupled sectors. We find…

Strongly Correlated Electrons · Physics 2022-05-17 Alvise Bastianello , Umberto Borla , Sergej Moroz

Superdiffusive finite-temperature transport has been recently observed in a variety of integrable systems with nonabelian global symmetries. Superdiffusion is caused by giant Goldstone-like quasiparticles stabilized by integrability. Here,…

Statistical Mechanics · Physics 2021-08-03 Jacopo De Nardis , Sarang Gopalakrishnan , Romain Vasseur , Brayden Ware

We study the charge dynamic structure factor of the one-dimensional Hubbard model with finite on-site repulsion U at half filling. Numerical results from the time-dependent density matrix renormalization group are analyzed by comparison…

Strongly Correlated Electrons · Physics 2012-04-23 R. G. Pereira , K. Penc , S. R. White , P. D. Sacramento , J. M. P. Carmelo

We propose an effective model called the "charge model", for the half-filled one-dimensional Hubbard and extended Hubbard models. In this model, spin-charge separation, which has been justified from an infinite on-site repulsion ($U$) in…

Strongly Correlated Electrons · Physics 2020-01-29 Shu Ohmura , Akira Takahashi , Kaoru Iwano , Tokitake Yamaguchi , Kazuya Shinjo , Takami Tohyama , Shigetoshi Sota , Hiroshi Okamoto

We investigate the itinerant ferromagnetism using a diluted spin-fermion model, derived from a repulsive Hubbard model, where itinerant fermions are coupled antiferromagnetically to auxiliary fields in a three-dimensional simple cubic…

Strongly Correlated Electrons · Physics 2022-01-31 Sourav Chakraborty , Sandip Halder , Kalpataru Pradhan

We consider spin chain models with local Hamiltonians that display weak ergodicity breaking. In these models, the majority of the eigenstates are thermal, but there is a distinguished subspace of the Hilbert space in which ergodicity is…

Statistical Mechanics · Physics 2025-06-24 Hosho Katsura , Chihiro Matsui , Chiara Paletta , Balázs Pozsgay

We investigate the spin/charge transport in a one-dimensional strongly correlated system by using the adaptive time-dependent density-matrix renormalization group method. The model we consider is a non-half-filled Hubbard chain with a bond…

Strongly Correlated Electrons · Physics 2009-11-13 Yao Yao , Hui Zhao , Joel E. Moore , Chang-Qin Wu

We report a systematic study of finite-temperature spin transport in quantum and classical one-dimensional magnets with isotropic spin interactions, including both integrable and non-integrable models. Employing a phenomenological framework…

Statistical Mechanics · Physics 2020-06-24 Jacopo De Nardis , Marko Medenjak , Christoph Karrasch , Enej Ilievski

Correlation-driven metal-insulator transitions and temperature-driven quantum-coherent-to-incoherent crossovers in correlated electron systems underpin the doping, temperature and frequency-resolved evolution of physical responses.…

Strongly Correlated Electrons · Physics 2025-01-15 Gopal Prakash , S. R. Hassan , M. S. Laad , N. S. Vidhyadhiraja , T. V. Ramakrishnan

The classical drift diffusion (DD) model of spin transport treats spin relaxation via an empirical parameter known as the ``spin diffusion length''. According to this model, the ensemble averaged spin of electrons drifting and diffusing in…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Sandipan Pramanik , Supriyo Bandyopadhyay , Marc Cahay

We study the charge conductivity in one-dimensional prototype models of interacting particles, such as the Hubbard and the t-V spinless fermion model, when coupled to some external baths injecting and extracting particles at the boundaries.…

Strongly Correlated Electrons · Physics 2009-07-09 Giuliano Benenti , Giulio Casati , Tomaz Prosen , Davide Rossini , Marko Znidaric

We study one-dimensional spin-1/2 models in which strict confinement of Ising domain walls leads to the fragmentation of Hilbert space into exponentially many disconnected subspaces. Whereas most previous works emphasize dipole moment…

Strongly Correlated Electrons · Physics 2020-05-26 Zhi-Cheng Yang , Fangli Liu , Alexey V. Gorshkov , Thomas Iadecola

The influence of spin and charge fluctuations on spectra of the two-dimensional fermionic Hubbard model is considered using the strong coupling diagram technique. Infinite sequences of diagrams containing ladder inserts, which describe the…

Strongly Correlated Electrons · Physics 2018-10-30 A. Sherman

The theory of spin drift and diffusion in two-dimensional electron gases is developed in terms of a random walk model incorporating Rashba, linear and cubic Dresselhaus, and intersubband spin-orbit couplings. The additional subband degree…

Mesoscale and Nanoscale Physics · Physics 2017-03-20 Gerson J. Ferreira , Felix G. G. Hernandez , Patrick Altmann , Gian Salis

Quantum many-body systems may defy thermalization even without disorder. Intriguingly, non-ergodicity may be caused by a fragmentation of the many-body Hilbert-space into dynamically disconnected subspaces. The tilted one-dimensional…

We establish rigorously that transport is slower than diffusive for a class of disordered one-dimensional Hamiltonian chains. This is done by deriving quantitative bounds on the variance in equilibrium of the energy or particle current, as…

Mathematical Physics · Physics 2020-02-25 Wojciech De Roeck , Francois Huveneers , Stefano Olla

Recent investigations have observed superdiffusion in integrable classical and quantum spin chains. An intriguing connection between these spin chains and Kardar-Parisi-Zhang (KPZ) universality class has emerged. Theoretical developments…

Statistical Mechanics · Physics 2023-03-21 Dipankar Roy , Abhishek Dhar , Herbert Spohn , Manas Kulkarni

Information to be stored and transported requires physical carriers. The quantum bit of information (qubit) can for instance be realised as the spin 1/2 degree of freedom of a massive particle like an electron or as the spin 1 polarisation…

Quantum Physics · Physics 2009-03-15 Cord A. Mueller

Electrons in one-dimension display the unusual property of separating their spin and charge into two independent entities: The first, which derive from uncharged spin-1/2 electrons, can travel at different velocities when compared with the…

Strongly Correlated Electrons · Physics 2012-09-26 Daniel Vieira

We address the nature of spin dynamics in various integrable and non-integrable, isotropic and anisotropic quantum spin-$S$ chains, beyond the paradigmatic $S=1/2$ Heisenberg model. In particular, we investigate the algebraic long-time…

Strongly Correlated Electrons · Physics 2020-03-18 Maxime Dupont , Joel E. Moore