4.6 Article

Stability of (N+1)-body fermion clusters in a multiband Hubbard model

相关参考文献

注意:仅列出部分参考文献,下载原文获取全部文献信息。
Review Physics, Condensed Matter

The Hubbard Model

Daniel P. Arovas et al.

Summary: The repulsive Hubbard model is crucial for understanding strongly correlated electron systems and exhibits rich phenomenology. However, its phase diagram is still controversial. In this review, we summarize the known information about the model and focus on the ground state properties and important unresolved questions.

ANNUAL REVIEW OF CONDENSED MATTER PHYSICS (2022)

Review Physics, Condensed Matter

The Hubbard Model: A Computational Perspective

Mingpu Qin et al.

Summary: The Hubbard model, as the simplest model of interacting fermions on a lattice, exhibits a wealth of phases, phase transitions, and exotic correlation phenomena. In recent years, numerical tools have made impressive progress in achieving quantitative accurate results, offering deeper insights into the correlation physics of the model.

ANNUAL REVIEW OF CONDENSED MATTER PHYSICS (2022)

Article Physics, Multidisciplinary

Universal Tetramer and Pentamer Bound States in Two-Dimensional Fermionic Mixtures

Ruijin Liu et al.

Summary: This study investigates the emergence of universal tetramer and pentamer bound states in a two-dimensional system where N identical heavy fermions interact with a light atom. The researchers found that under specific heavy-light mass ratios, these bound states can stably exist and exhibit different characteristics in momentum space.

PHYSICAL REVIEW LETTERS (2022)

Article Materials Science, Multidisciplinary

Pairs, trimers, and BCS-BEC crossover near a flat band: Sawtooth lattice

Giuliano Orso et al.

Summary: In this paper, we investigate the attractive Fermi-Hubbard model on the one-dimensional sawtooth lattice and find that the multiband nature of the system substantially modifies the physics of the BCS-BEC crossover. We also uncover the existence of three-body bound states in the sawtooth lattice, which is of great importance.

PHYSICAL REVIEW B (2022)

Article Optics

Three-body problem in a multiband Hubbard model

M. Iskin

Summary: This study explores the three-body problem in a generic multiband lattice, obtaining the exact solution of coupled integral equations through a variational approach and simplifying it to an eigenvalue problem. It reveals that energetically stable trimers are allowed in a two-band setting, with trimers having a nearly flat dispersion when formed in a flat band.

PHYSICAL REVIEW A (2022)

Article Optics

Effective-mass tensor of the two-body bound states and the quantum-metric tensor of the underlying Bloch states in multiband lattices

M. Iskin

Summary: By considering the on-site attraction between spin-up and spin-down fermions in a multiband tight-binding lattice, this study investigates the two-body spectrum and derives an exact relationship between the inverse of the effective-mass tensor of the lowest bound states and the quantum-metric tensor of the underlying Bloch states.

PHYSICAL REVIEW A (2022)

Article Materials Science, Multidisciplinary

Pairing and superconductivity in quasi-one-dimensional flat-band systems: Creutz and sawtooth lattices

Si Min Chan et al.

Summary: This study investigates the superconducting and pairing properties of the attractive Hubbard model in two quasi-one-dimensional topological lattices, revealing several key findings.

PHYSICAL REVIEW B (2022)

Article Optics

Two-body problem in a multiband lattice and the role of quantum geometry

M. Iskin

Summary: This study focuses on the two-body problem in a periodic potential, specifically examining the bound-state dispersion of a fermion with spin-up interacting with a fermion with spin-down through short-range attractive interaction. By using a variational approach, the exact solution of the dispersion is derived in the form of self-consistency equations, applied to tight-binding Hamiltonians with on-site interactions. Special attention is given to bipartite lattices with time-reversal symmetry, showing that the lowest-energy bound states disperse quadratically with momentum, with the effective mass tensor partially controlled by the quantum metric tensor of the underlying Bloch states. The theory is applied to the Mielke checkerboard lattice, studying the role of interband processes in producing a finite effective mass for bound states in a nonisolated flat band.

PHYSICAL REVIEW A (2021)

Article Materials Science, Multidisciplinary

Flat-band transport and Josephson effect through a finite-size sawtooth lattice

Ville A. J. Pyykkonen et al.

Summary: This theoretical study focuses on transport through a finite-size sawtooth lattice coupled to fermionic reservoirs in a superfluid state. It reveals that flat-band states support larger critical current and temperature than dispersive band states, requiring tuning of the boundary states at resonance with the flat-band states. The two-terminal configuration transport can show the linear dependence of key quantities on interaction strength, reflecting the geometric contribution of flat-band superconductivity.

PHYSICAL REVIEW B (2021)

Article Physics, Multidisciplinary

Superconductivity and strong correlations in moire flat bands

Leon Balents et al.

NATURE PHYSICS (2020)

Article Physics, Multidisciplinary

Designer flat bands in quasi-one-dimensional atomic lattices

Md Nurul Huda et al.

PHYSICAL REVIEW RESEARCH (2020)

Article Physics, Multidisciplinary

Electron trimer states in conventional superconductors

Ali Sanayei et al.

PHYSICAL REVIEW RESEARCH (2020)

Article Physics, Multidisciplinary

Efimov States in an Ultracold Gas: How it Happened in the Laboratory

Rudolf Grimm

FEW-BODY SYSTEMS (2019)

Article Materials Science, Multidisciplinary

Flat-band engineering in tight-binding models: Beyond the nearest-neighbor hopping

Tomonari Mizoguchi et al.

PHYSICAL REVIEW B (2019)

Article Optics

Few-body physics in resonantly interacting ultracold quantum gases

Jose P. D'Incao

JOURNAL OF PHYSICS B-ATOMIC MOLECULAR AND OPTICAL PHYSICS (2018)

Article Multidisciplinary Sciences

Unconventional superconductivity in magic-angle graphene superlattices

Yuan Cao et al.

NATURE (2018)

Article Multidisciplinary Sciences

Realization of flat band with possible nontrivial topology in electronic Kagome lattice

Zhi Li et al.

SCIENCE ADVANCES (2018)

Review Physics, Multidisciplinary

Artificial flat band systems: from lattice models to experiments

Daniel Leykam et al.

ADVANCES IN PHYSICS-X (2018)

Article Materials Science, Multidisciplinary

Quantum metric and effective mass of a two-body bound state in a flat band

P. Torma et al.

PHYSICAL REVIEW B (2018)

Article Optics

Fast trimers in a one-dimensional extended Fermi-Hubbard model

A. Dhar et al.

PHYSICAL REVIEW A (2018)

Article Physics, Multidisciplinary

Experimental realization and characterization of an electronic Lieb lattice

Marlou R. Slot et al.

NATURE PHYSICS (2017)

Article Physics, Multidisciplinary

Five-Body Efimov Effect and Universal Pentamer in Fermionic Mixtures

B. Bazak et al.

PHYSICAL REVIEW LETTERS (2017)

Article Physics, Multidisciplinary

Interaction-Driven Shift and Distortion of a Flat Band in an Optical Lieb Lattice

Hideki Ozawa et al.

PHYSICAL REVIEW LETTERS (2017)

Review Physics, Multidisciplinary

Efimov physics: a review

Pascal Naidon et al.

REPORTS ON PROGRESS IN PHYSICS (2017)

Article Physics, Multidisciplinary

Conical Diffraction and Composite Lieb Bosons in Photonic Lattices

Falko Diebel et al.

PHYSICAL REVIEW LETTERS (2016)

Article Materials Science, Multidisciplinary

Observation of a nonradiative flat band for spoof surface plasmons in a metallic Lieb lattice

Sho Kajiwara et al.

PHYSICAL REVIEW B (2016)

Article Materials Science, Multidisciplinary

Low-energy behavior of strongly interacting bosons on a flat-band lattice above the critical filling factor

L. G. Phillips et al.

PHYSICAL REVIEW B (2015)

Review Physics, Multidisciplinary

Exotic electronic states in the world of flat bands: From theory to material

Liu Zheng et al.

CHINESE PHYSICS B (2014)

Article Physics, Multidisciplinary

Observation of a Strong Atom-Dimer Attraction in a Mass-Imbalanced Fermi-Fermi Mixture

Michael Jag et al.

PHYSICAL REVIEW LETTERS (2014)

Article Astronomy & Astrophysics

Fractional quantum Hall physics in topological flat bands

Siddharth A. Parameswaran et al.

COMPTES RENDUS PHYSIQUE (2013)

Article Physics, Multidisciplinary

Bound States in a Quasi-Two-Dimensional Fermi Gas

Jesper Levinsen et al.

PHYSICAL REVIEW LETTERS (2013)

Article Materials Science, Multidisciplinary

Observation of flat band for terahertz spoof plasmons in a metallic kagome lattice

Yosuke Nakata et al.

PHYSICAL REVIEW B (2012)

Article Physics, Multidisciplinary

Universal Four-Body States in Heavy-Light Mixtures with a Positive Scattering Length

D. Blume

PHYSICAL REVIEW LETTERS (2012)

Article Physics, Multidisciplinary

Ultracold Atoms in a Tunable Optical Kagome Lattice

Gyu-Boong Jo et al.

PHYSICAL REVIEW LETTERS (2012)

Review Physics, Multidisciplinary

Few-body physics with ultracold atomic and molecular systems in traps

D. Blume

REPORTS ON PROGRESS IN PHYSICS (2012)

Article Physics, Multidisciplinary

The density-matrix renormalization group in the age of matrix product states

Ulrich Schollwoeck

ANNALS OF PHYSICS (2011)

Article Astronomy & Astrophysics

Fermionic trimers in spin-dependent optical lattices

Giuliano Orso et al.

COMPTES RENDUS PHYSIQUE (2011)

Review Physics, Nuclear

Efimov States in Nuclear and Particle Physics

Hans-Werner Hammer et al.

ANNUAL REVIEW OF NUCLEAR AND PARTICLE SCIENCE, VOL 60 (2010)

Article Optics

Three-body bound states in a lattice

Manuel Valiente et al.

PHYSICAL REVIEW A (2010)

Article Materials Science, Multidisciplinary

Bose condensation in flat bands

Sebastian D. Huber et al.

PHYSICAL REVIEW B (2010)

Article Physics, Multidisciplinary

Four-Body Efimov Effect for Three Fermions and a Lighter Particle

Yvan Castin et al.

PHYSICAL REVIEW LETTERS (2010)

Article Physics, Multidisciplinary

Luttinger Liquid of Trimers in Fermi Gases with Unequal Masses

Giuliano Orso et al.

PHYSICAL REVIEW LETTERS (2010)

Article Physics, Multidisciplinary

Observation of an Efimov spectrum in an atomic system

M. Zaccanti et al.

NATURE PHYSICS (2009)

Article Physics, Multidisciplinary

Observation of Universality in Ultracold 7Li Three-Body Recombination

Noam Gross et al.

PHYSICAL REVIEW LETTERS (2009)

Article Multidisciplinary Sciences

Universality in Three- and Four-Body Bound States of Ultracold Atoms

Scott E. Pollack et al.

SCIENCE (2009)

Article Optics

Low-energy three-body dynamics in binary quantum gases

O. I. Kartavtsev et al.

JOURNAL OF PHYSICS B-ATOMIC MOLECULAR AND OPTICAL PHYSICS (2007)

Article Multidisciplinary Sciences

Evidence for Efimov quantum states in an ultracold gas of caesium atoms

T Kraemer et al.

NATURE (2006)

Review Physics, Multidisciplinary

Universality in few-body systems with large scattering length

Eric Braaten et al.

PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS (2006)