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Inspired by the recent experimental advances in cold atom quantum simulators, we explore the experimentally implemented bosonic $t$-$t'$-$J$ model on the square lattice using large-scale density matrix renormalization group simulations. By…

Strongly Correlated Electrons · Physics 2026-03-06 Xin Lu , Jia-Xin Zhang , Lukas Homeier , Shou-Shu Gong , D. N. Sheng , Zheng-Yu Weng

Cooper pairing instability in a Fermi liquid is well understood by the BCS theory, but pairing mechanism for doped Mott insulators still remains elusive. Previously it has been shown by density matrix renormalization group (DMRG) method…

Strongly Correlated Electrons · Physics 2014-08-28 Zheng Zhu , Hong-Chen Jiang , Dong-Ning Sheng , Zheng-Yu Weng

There continues to be enormous interest in the BCS to BEC transition as there still is no exact theory. We recently reported a revealing reinterpretation of the condensed phase Boson-Fermion Model (BFM) by comparing it to a cold atom…

Superconductivity · Physics 2008-04-28 Richard H. Squire , Norman H. March

A composite pairing structure of superconducting state is revealed by density matrix renormalization group study in a two-leg $t$-$J$ model. The pairing order parameter is composed of a pairing amplitude and a phase factor, in which the…

Strongly Correlated Electrons · Physics 2024-03-15 Hao-Kai Zhang , Rong-Yang Sun , Zheng-Yu Weng

Doping an antiferromagnetic Mott insulator is central to our understanding of a variety of phenomena in strongly-correlated electrons, including high-temperature superconductors. To describe the competition between tunneling $t$ of hole…

Cooper's one pair problem is investigated for a 2D lattice in the background of both passive and active Fermi sea in a weakly correlated environment. Boson exchange mechanisms involving excitons as well as phonons are invoked for pairing in…

Superconductivity · Physics 2016-04-12 Soumi Roy Chowdhury , Ranjan Chaudhury

The energy associated with bosonic and fermionic pairs of topological spin defects in doped antiferromagnetic quantum spin-1/2 square lattice is estimated within a resonating valence bond scenario, as described by a t-t'-J-like model…

Strongly Correlated Electrons · Physics 2009-11-11 M. A. Garcia-Bach

Unraveling the microscopic mechanisms governing the physics of doped quantum magnets is key to advancing our understanding of strongly correlated quantum matter. Quantum simulation platforms, e.g., ultracold atoms in optical lattices or…

Quantum Gases · Physics 2024-12-04 Timothy J. Harris , Ulrich Schollwöck , Annabelle Bohrdt , Fabian Grusdt

We apply the fermionic tensor network (TN) state method to understand the strongly correlated nature in a doped Mott insulator. We conduct a comparative study of the $\sigma t$-$J$ model, in which the no-double-occupancy constraint remains…

Strongly Correlated Electrons · Physics 2025-12-19 Wayne Zheng , Jia-Xin Zhang , Zheng-Yuan Yue , Zheng-Cheng Gu , Zheng-Yu Weng

Near zero temperature, quantum magnetism can non-trivially arise from short-range interactions, but the occurrence of magnetic order depends crucially on the interplay of interactions, lattice geometry, dimensionality and doping. Even…

Quantum Gases · Physics 2017-05-03 J. H. Drewes , L. A. Miller , E. Cocchi , C. F. Chan , D. Pertot , F. Brennecke , M. Köhl

A key to understanding unconventional superconductivity lies in unraveling the pairing mechanism of mobile charge carriers in doped antiferromagnets, yielding an effective attraction between charges even in the presence of strong repulsive…

Strongly Correlated Electrons · Physics 2024-03-26 Hannah Lange , Lukas Homeier , Eugene Demler , Ulrich Schollwöck , Annabelle Bohrdt , Fabian Grusdt

We report the numerical discovery of a pair-density-wave (PDW) superconductor from doping either (i) a spin-one Haldane chain or (ii) a two-leg ladder in the rung singlet phase in which the doped charges occupy a single leg. We model these…

Strongly Correlated Electrons · Physics 2022-07-20 Ya-Hui Zhang , Ashvin Vishwanath

We propose a theory for doped antiferromagnet based on a bosonic resonating-valence-bond (RVB) state with incorporating the phase string effect. Both antiferromagnetic (AF) and superconducting phase transitions occur naturally within such a…

Strongly Correlated Electrons · Physics 2007-05-23 Z. Y. Weng , D. N. Sheng , C. S. Ting

Recent experiments on electron- or hole-doped SrTiO$_{3}$ have revealed a hitherto unknown form of superconductivity, where the Fermi energy of the paired electrons is much lower than the energies of the bosonic excitations thought to be…

Superconductivity · Physics 2018-09-19 Peter Wölfle , Alexander V. Balatsky

Pairing of mobile charge carriers in doped antiferromagnets plays a key role in the emergence of unconventional superconductivity. In these strongly correlated materials, the pairing mechanism is often assumed to be mediated by magnetic…

We apply the spin-fermion model to study the normal state and pairing instability in electron-doped cuprates near the antiferromagnetic QCP. Peculiar frequency dependencies of the normal state properties are shown to emerge from the…

Superconductivity · Physics 2009-11-11 Pavel Krotkov , Andrey V. Chubukov

I introduce a doped two-dimensional quantum dimer model describing a doped Mott insulator and retaining the original Fermi statistics of the electrons. This model shows a rich phase diagram including a d-wave hole-pair unconventional…

Strongly Correlated Electrons · Physics 2008-04-24 Didier Poilblanc

In strongly correlated quantum materials, the behavior of charge carriers is dominated by strong electron-electron interactions. These can lead to insulating states with spin order, and upon doping to competing ordered states including…

Strongly Correlated Electrons · Physics 2023-05-03 Fabian Grusdt , Eugene Demler , Annabelle Bohrdt

Quantum gases consisting of species with distinct quantum statistics, such as Bose-Fermi mixtures, can behave in a fundamentally different way than their unmixed constituents. This makes them an essential platform for studying emergent…

Interference effects between Berry phase factors in spin tunneling systems have been discussed in recent Letters by Loss, DiVincenzo and Grinstein and von Delft and Henley. This Comment points out that Berry phases in spin tunneling are…

Condensed Matter · Physics 2009-10-22 Assa Auerbach
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