Disordered impenetrable two-component fermions in one dimension
arXiv:2112.06895 · doi:10.1103/PhysRevB.107.184202
Abstract
We study the one-dimensional Hubbard model for two-component fermions with infinitely strong on-site repulsion (t-0 model) in the presence of disorder. Our analytical treatment demonstrates that the type of disorder drastically changes the nature of the emerging phases. The case of spin-independent disorder can be treated as a single-particle problem with Anderson localization. On the contrary, recent numerical findings show that spin-dependent disorder, which can be realized as a random magnetic field, leads to the many-body localization-delocalization transition. We find an explicit analytic expression for the matrix elements of the random magnetic field between the eigenstates of the t-0 model with potential disorder on a finite lattice. Analysis of the matrix elements supports the existence of the many-body localization-delocalization transition in this system and provides an extended physical picture of the random magnetic field.
References in corpus (49)
- Many-Body Physics with Ultracold Gases
- Anderson Transitions
- Metal-insulator transition in a weakly interacting many-electron system with localized single-particle states
- Localization of interacting fermions at high temperature
- Observation of many-body localization of interacting fermions in a quasi-random optical lattice
- Many-body localization edge in the random-field Heisenberg chain
- Experimental realization of a long-range antiferromagnet in the Hubbard model with ultracold atoms
- Many-body localization: an introduction and selected topics
- Universal slow growth of entanglement in interacting strongly disordered systems
- Fermi gases in one dimension: From Bethe Ansatz to experiments
- Area laws in a many-body localized state and its implications for topological order
- Digital quantum simulation of fermionic models with a superconducting circuit
- Recent progress in many-body localization
- Absence of diffusion in an interacting system of spinless fermions on a one-dimensional disordered lattice
- Extended slow dynamical regime close to the many-body localization transition
- The Ergodic Side of the Many-Body Localization Transition
- Ergodicity breaking in a model showing many-body localization
- Observing non-ergodicity due to kinetic constraints in tilted Fermi-Hubbard chains
- Conductivity of disordered quantum lattice models at infinite temperature: Many-body localization
- Many-body localization and thermalization in disordered Hubbard chains
- Long tail distributions near the many body localization transition
- Localization in a random model with the long-range interaction: Intermediate case between single particle and many-body problems
- Spectral functions of the 1D Hubbard model in the U -> \infty limit: How to use the factorized wave-function
- Exact localized and ballistic eigenstates in disordered chaotic spin ladders and the Fermi-Hubbard model
- Absence of full many-body localization in the disordered Hubbard chain
- Dynamical conductivity and its fluctuations along the crossover to many-body localization
- The effect of symmetry on many-body localization and thermalization
- Spin subdiffusion in disordered Hubbard chain
- Spin-charge separation and many-body localization
- Temperature correlators in the two-component one-dimensional gas
- Finite temperature dynamics of the Mott insulating Hubbard chain
- Self-consistent approach to many-body localization and subdiffusion
- Localization of phonons in ion traps with controlled quantum disorder
- Temperature correlators in the one-dimensional Hubbard model in the strong coupling limit
- Exact Transformation for Spin-Charge Separation of Spin-half Fermions without Constraints
- Topological Order in an Entangled SU(2)XY Spin-Orbital Ring
- Canonical representation for electrons and its application to the Hubbard model
- Fermionic Models with Superconducting Circuits
- Exact solution of the infinite-U Hubbard problem and other models in one dimension
- Finite-size scaling with respect to interaction and disorder strength at the many-body localization transition
- Instability of subdiffusive spin dynamics in strongly disordered Hubbard chain
- Real-Time Evolution in the Hubbard Model with Infinite Repulsion
- Spin-mediated particle transport in the disordered Hubbard model
- Delocalized charge carriers in strongly disordered t-J model
- Exact spin-orbital separation in a solvable model in one dimension
- Complete many-body localization in the t-J model caused by random magnetic field
- Nucleation of ergodicity by a single mobile impurity in supercooled insulators
- Charge and spin-specific local integrals of motion in a disordered Hubbard model
- Many-body localization of 1D disordered impenetrable two-component fermions