Kondo frustration via charge fluctuations: a route to Mott localisation

• URL: http://arxiv.org/abs/2302.02328v1
• Date: Sun, 5 Feb 2023 07:48:25 GMT
• Title: Kondo frustration via charge fluctuations: a route to Mott localisation
• Authors: Abhirup Mukherjee, N. S. Vidhyadhiraja, A. Taraphder and Siddhartha Lal
• Abstract summary: We propose a minimal effective impurity model that captures the phenomenology of the Mott-Hubbard metal-insulator transition (MIT) This involves extending the standard Anderson impurity model Hamiltonian to include an explicit coupling $J$. For the case of attractive local bath correlations ($U_b0$), the extended Anderson impurity model sheds new light on several aspects of the DMFT phase diagram.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We propose a minimal effective impurity model that captures the phenomenology of the Mott-Hubbard metal-insulator transition (MIT) of the half-filled Hubbard model on the Bethe lattice in infinite dimensions as observed by dynamical mean field theory (DMFT). This involves extending the standard Anderson impurity model Hamiltonian to include an explicit Kondo coupling $J$, as well as a local on-site correlation $U_b$ on the conduction bath site connected directly to the impurity. For the case of attractive local bath correlations ($U_{b}<0$), the extended Anderson impurity model (e-SIAM) sheds new light on several aspects of the DMFT phase diagram. For example, the $T=0$ metal-to-insulator quantum phase transition (QPT) is preceded by an excited state quantum phase transition (ESQPT) where the local moment eigenstates are emergent in the low-lying spectrum. Long-ranged fluctuations are observed near both the QPT and ESQPT, suggesting that they are the origin of the quantum critical scaling observed recently at high temperatures in DMFT simulations. The $T=0$ gapless excitations at the QCP display particle-hole interconversion processes, and exhibit power-law behaviour in self-energies and two-particle correlations. These are signatures of non-Fermi liquid behaviour that emerge from the partial breakdown of the Kondo screening.

Related papers

• Quantum-interference-induced pairing in antiferromagnetic bosonic $t$-$J$ model [1.5064460450689483]
  An antiferromagnetic bosonic $t$-$J$ model is investigated via large-scale density matrix renormalization group calculations. We find that a pair density wave (PDW) of tightly bound hole pairs coexists with the AFM order forming a supersolid'' at small doping. The pairing order collapses at larger doping to a superfluid of single-boson condensation with the spin background to a ferromagnetic (FM) order simultaneously.
  arXiv  Detail & Related papers  (2024-09-23T18:00:04Z)
• Ancilla quantum measurements on interacting chains: Sensitivity of entanglement dynamics to the type and concentration of detectors [46.76612530830571]
  We consider a quantum many-body lattice system that is coupled to ancillary degrees of freedom (detectors'') We explore the dynamics of density and of entanglement entropy in the chain, for various values of $rho_a$ and $M$.
  arXiv  Detail & Related papers  (2023-11-21T21:41:11Z)
• $\mathbb{Z}_N$ lattice gauge theories with matter fields [0.0]
  We study fermions and bosons in $mathbb Z_N$ lattice gauge theories. We present analytical arguments for the most important phases and estimates for phase boundaries of the model.
  arXiv  Detail & Related papers  (2023-08-24T21:05:15Z)
• New insights on the quantum-classical division in light of Collapse Models [63.942632088208505]
  We argue that the division between quantum and classical behaviors is analogous to the division of thermodynamic phases. A specific relationship between the collapse parameter $(lambda)$ and the collapse length scale ($r_C$) plays the role of the coexistence curve in usual thermodynamic phase diagrams.
  arXiv  Detail & Related papers  (2022-10-19T14:51:21Z)
• Full counting statistics of interacting lattice gases after an expansion: The role of the condensate depletion in the many-body coherence [55.41644538483948]
  We study the full counting statistics (FCS) of quantum gases in samples of thousands of interacting bosons. FCS reveals the many-body coherence from which we characterize iconic states of interacting lattice bosons.
  arXiv  Detail & Related papers  (2022-07-28T13:21:57Z)
• Confinement Induced Frustration in a One-Dimensional $\mathbb{Z}_2$ Lattice Gauge Theory [0.0]
  We study a simple gauge theory at half-filling, where U$(1)$ matter is coupled to gauge fields and interacts through NNpulsion. We uncover a rich phase diagram where the local NN interaction stabilizes a Mott individual charges (or partons) on the one hand, and a Luttinger liquid of confined mesons on the other. Our work is motivated by the recent progress in ultracold atom experiments, where such simple model could be readily implemented.
  arXiv  Detail & Related papers  (2022-06-27T17:51:31Z)
• Frustration shapes multi-channel Kondo physics: a star graph perspective [0.31317409221921144]
  We study the overscreened multi-channel Kondo (MCK) model using the recently developed unitary renormalization group (URG) technique. Our results display the importance of ground state degeneracy in explaining various important properties.
  arXiv  Detail & Related papers  (2022-05-02T10:21:24Z)
• Quantum correlations, entanglement spectrum and coherence of two-particle reduced density matrix in the Extended Hubbard Model [62.997667081978825]
  We study the ground state properties of the one-dimensional extended Hubbard model at half-filling. In particular, in the superconducting region, we obtain that the entanglement spectrum signals a transition between a dominant singlet (SS) to triplet (TS) pairing ordering in the system.
  arXiv  Detail & Related papers  (2021-10-29T21:02:24Z)
• Mechanism for particle fractionalization and universal edge physics in quantum Hall fluids [58.720142291102135]
  We advance a second-quantization framework that helps reveal an exact fusion mechanism for particle fractionalization in FQH fluids. We also uncover the fundamental structure behind the condensation of non-local operators characterizing topological order in the lowest-Landau-level (LLL)
  arXiv  Detail & Related papers  (2021-10-12T18:00:00Z)
• Probing eigenstate thermalization in quantum simulators via fluctuation-dissipation relations [77.34726150561087]
  The eigenstate thermalization hypothesis (ETH) offers a universal mechanism for the approach to equilibrium of closed quantum many-body systems. Here, we propose a theory-independent route to probe the full ETH in quantum simulators by observing the emergence of fluctuation-dissipation relations. Our work presents a theory-independent way to characterize thermalization in quantum simulators and paves the way to quantum simulate condensed matter pump-probe experiments.
  arXiv  Detail & Related papers  (2020-07-20T18:00:02Z)
• Entanglement and classical correlations at the doping-driven Mott transition in the two-dimensional Hubbard model [0.0]
  We study the doped Hubbard model in two dimensions from the perspective of quantum information theory. We find that upon varying doping these two entanglement-related properties detect the Mott insulating phase, the strongly correlated pseudogap phase, and the metallic phase.
  arXiv  Detail & Related papers  (2020-07-01T15:48:48Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.