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The fermionic Hubbard model (FHM)[1], despite its simple form, captures essential features of strongly correlated electron physics. Ultracold fermions in optical lattices[2, 3] provide a clean and well-controlled platform for simulating…

Interacting fermions on a lattice can develop strong quantum correlations, which lie at the heart of the classical intractability of many exotic phases of matter. Seminal efforts are underway in the control of artificial quantum systems,…

Mesoscale and Nanoscale Physics · Physics 2017-08-16 T. Hensgens , T. Fujita , L. Janssen , Xiao Li , C. J. Van Diepen , C. Reichl , W. Wegscheider , S. Das Sarma , L. M. K. Vandersypen

An effective quantum field theory of the 2D Hubbard model on a square lattice near half-filling is presented and studied. This effective model describes so-called nodal and antinodal fermions, and it is derived from the lattice model using…

Strongly Correlated Electrons · Physics 2023-09-22 Jonas de Woul , Edwin Langmann

We investigate the effect of hole doping on the strong-coupling Hubbard model at half-filling in spatial dimensions $D\ge 1$. We start with an antiferromagnetic mean-field description of the insulating state, and show that doping creates…

Condensed Matter · Physics 2009-10-28 Junwu Gan , Dung-Hai Lee , Per Hedegard

We investigate the feasibility of many candidate quantum Hall states for two-component bosons in the lowest Landau level. We identify interactions for which spin-singlet incompressible states occur at filling factors $\nu=2/3$, 4/5 and 4/3,…

Strongly Correlated Electrons · Physics 2013-06-25 Ying-Hai Wu , Jainendra K. Jain

Building on recent solutions of the fermion sign problem for specific models we present two continuous-time quantum Monte Carlo methods for efficient simulation of mass-imbalanced Hubbard models on bipartite lattices at half-filling. For…

Strongly Correlated Electrons · Physics 2015-12-18 Ye-Hua Liu , Lei Wang

We present strong numerical evidence for the band Kondo effect in the doped 2D Hubbard model by showing the systematic change of the density of states, imaginary part of the self-energy, effective magnetic moment and quasiparticle residue…

Condensed Matter · Physics 2007-05-23 Bumsoo Kyung

We propose a new quantum Monte Carlo algorithm to compute fermion ground-state properties. The ground state is projected from an initial wavefunction by a branching random walk in an over-complete basis space of Slater determinants. By…

Condensed Matter · Physics 2016-08-31 Shiwei Zhang , J. Carlson , J. E. Gubernatis

A wide variety of experimental platforms, ranging from semiconductor quantum-dot arrays to moir\'e materials, have recently emerged as powerful quantum simulators for studying the Hubbard model and its variants. Motivated by these…

Strongly Correlated Electrons · Physics 2024-10-03 Johannes Dieplinger , Rhine Samajdar , R. N. Bhatt

The Hubbard model is one of the primary models for understanding the essential many-body physics in condensed matter systems such as Mott insulators and cuprate high-Tc superconductors. Recent advances in atomically precise fabrication in…

When phonons couple to fermions in 2D semimetals, the interaction may turn the system into an insulator. There are several insulating phases in which the time reversal and the sublattice symmetries are spontaneously broken. Examples are…

Strongly Correlated Electrons · Physics 2021-05-12 Andreas Sinner , Klaus Ziegler

Disordered quantum antiferromagnets in two-dimensional compounds have been a focus of interest in the last years due to their exotic properties. However, with very few exceptions, the ground states of the corresponding Hamiltonians are…

Quantum Gases · Physics 2017-06-07 A. Yuste , M. Moreno-Cardoner , A. Sanpera

The effects of interactions in a 2D electron system in a strong magnetic field of two degenerate Landau levels with opposite spins and at filling factors 1/2 are studied. Using the Chern-Simons gauge transformation, the system is mapped to…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Matteo Merlo , Nicodemo Magnoli , Maura Sassetti , Bernhard Kramer

Unveiling the microscopic origins of quantum phases dominated by the interplay of spin and motional degrees of freedom constitutes one of the central challenges in strongly correlated many-body physics. When holes move through an…

Understanding the interplay between charge and spin and its effects on transport is a ubiquitous challenge in quantum many-body systems. In the Fermi-Hubbard model, this interplay is thought to give rise to magnetic polarons, whose dynamics…

Two particle interference phenomena, such as the Hong-Ou-Mandel effect, are a direct manifestation of the nature of the symmetry properties of indistinguishable particles as described by quantum mechanics. The Hong-Ou-Mandel effect has…

Quantum Physics · Physics 2017-05-24 Nils Trautmann , Gergely Ferenczi , Sarah Croke , Stephen M. Barnett

We theoretically study a generalized Hubbard model on moir\'e superlattices of twisted bilayers, and find very rich filling-factor-dependent quantum phase diagrams tuned by interaction strength and twist angle. Strong long-range Coulomb…

Strongly Correlated Electrons · Physics 2020-11-11 Haining Pan , Fengcheng Wu , Sankar Das Sarma

We propose a device for studying the Fermi-Hubbard model with long-range Coulomb interactions using an array of quantum dots defined in a semiconductor two-dimensional electron gas system. Bands with energies above the lowest energy band…

Quantum Physics · Physics 2009-11-13 Tim Byrnes , Na Young Kim , Kenichiro Kusudo , Yoshihisa Yamamoto

We investigate ground state properties of the half-filled staggered-flux Hubbard model on a square lattice. Energy gaps to charge and spin excitations and magnetic as well as dimer orders are calculated as a function of interaction strength…

Strongly Correlated Electrons · Physics 2015-06-04 Chia-Chen Chang , Richard T. Scalettar

Almost all quantum Hall effect to date can be understood as {\em integral} quantum Hall effect of appropriate particles, namely electrons or composite fermions. This paper investigates theoretically the feasibility of nested states of…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Sudhansu S. Mandal , Jainendra K. Jain