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In quantum many-body physics, one aims to understand emergent phenomena and effects of strong interactions, ideally by developing a simple theoretical picture. Recently, progress in quantum simulators has enabled the measurement of site…

We study the emergence of superconductivity in the one-band Hubbard model using the spin-rotation-invariant Kotliar-Ruckenstein slave-boson (SB) approach. Motivated by its intrinsically renormalized mean-field ground state, we construct an…

Resonating valence bond (RVB) states are of crucial importance in our intuitive understanding of quantum spin liquids in 2D. We systematically classify short-range bosonic RVB states into symmetric or nematic spin liquids by examining their…

强关联电子 · 物理学 2012-10-11 Fan Yang , Hong Yao

Understanding superconductivity emerging from repulsive fermions remains a major challenge in condensed matter physics. In this paper, we investigate the pairing tendencies in a one-dimensional, three component repulsive Hubbard model,…

超导电性 · 物理学 2025-12-10 Sheng Chen , Qiao Yang , Wéi Wú , Fadi Sun

The combination of spin-orbit coupling with interactions results in many exotic phases of matter. In this Letter, we investigate the superconducting pairing instability of the two-dimensional extended Hubbard model with both Rashba and…

超导电性 · 物理学 2020-07-08 Majid Kheirkhah , Zhongbo Yan , Yuki Nagai , Frank Marsiglio

The phase diagram of Kane-Mele-Heisenberg (KMH) model in classical limit~\cite{zare}, contains disordered regions in the coupling space, as the result of to competition among different terms in the Hamiltonian, leading to frustration in…

强关联电子 · 物理学 2014-10-28 Mohammad H. Zare , Hamid Mosadeq , Farhad Shahbazi , S. A. Jafari

We study the robustness of the paradigmatic kagome Resonating Valence Bond (RVB) spin liquid and its orthogonal version, the quantum dimer model. The non-orthogonality of singlets in the RVB model and the induced finite length scale not…

强关联电子 · 物理学 2020-03-03 Mohsin Iqbal , Helena Casademunt , Norbert Schuch

We introduce a general method to construct one-dimensional translationally invariant valence bond solid states with a built-in Lie group $G$ and derive their matrix product representations. The general strategies to find their parent…

强关联电子 · 物理学 2013-05-29 Hong-Hao Tu , Guang-Ming Zhang , Tao Xiang , Zheng-Xin Liu , Tai-Kai Ng

The nature of the effective interaction responsible for pairing in the high-temperature superconducting cuprates remains unsettled. This question has been studied extensively using the simplified single-band Hubbard model, which does not…

超导电性 · 物理学 2021-04-05 Peizhi Mai , Giovanni Balduzzi , Steven Johnston , Thomas A. Maier

Bosonic and fermionic Hubbard models on the checkerboard lattice are studied numerically for infinite on-site repulsion. At particle density n=1/4 and strong nearest-neighbor repulsion, insulating Valence Bond Crystals (VBC) of resonating…

强关联电子 · 物理学 2010-08-18 A. Ralko , F. Trousselet , D. Poilblanc

The ground state (GS) properties of the quasi-one-dimensional $AB_2$ Hubbard model are investigated taking the effects of charge and spin quantum fluctuations on equal footing. In the strong-coupling regime, we derive a low-energy…

强关联电子 · 物理学 2018-12-17 V. M. Martinez Alvarez , M. D. Coutinho-Filho

We present a projector quantum Monte Carlo study of the topological properties of the valence-bond-solid ground state in the $J$-$Q_3$ spin model on the square lattice. The winding number is a topological number counting the number of…

统计力学 · 物理学 2015-10-28 Hui Shao , WenAn Guo , Anders W. Sandvik

To pinpoint the microscopic mechanism for superconductivity has proven to be one of the most outstanding challenges in the physics of correlated quantum matter. Thus far, the most direct evidence for an electronic pairing mechanism is the…

超导电性 · 物理学 2015-01-29 Mathias S. Scheurer , Jörg Schmalian

The hole-doped ground state of a recently introduced extended "t-U-J" two-orbital Hubbard model for the Fe-based superconductors is studied via exact diagonalization methods on small clusters. Similarly as in the previously studied case of…

超导电性 · 物理学 2012-02-06 Andrew Nicholson , Weihao Ge , José Riera , Maria Daghofer , Adriana Moreo , Elbio Dagotto

Weak-coupling approaches to the pairing problem in the iron pnictide superconductors have predicted a wide variety of superconducting ground states. We argue here that this is due both to the inadequacy of certain approximations to the…

超导电性 · 物理学 2009-03-02 S. Graser , T. A. Maier , P. J. Hirschfeld , D. J. Scalapino

The Hubbard model is the simplest model that is believed to exhibit superconductivity arising from purely repulsive interactions, and has been extensively applied to explore a variety of unconventional superconducting systems. Here we study…

We introduce a Hubbard model on a particular class of geometries, and consider the effect of doping the highly spin-degenerate Mott-insulating state with a microscopic number of holes in the extreme strong-coupling limit. The geometry is…

强关联电子 · 物理学 2009-11-10 J. D. Champion , M. W. Long

We consider the two-band Hubbard model, where electrons from different bands interact through an on-site one- and two-particle hybridization. The proposed Hamiltonian makes it possible to construct an effective theory and answer the…

强关联电子 · 物理学 2026-01-07 Igor N. Karnaukhov

By relating the ground state of Temperley-Lieb hamiltonians to partition functions of 2D statistical mechanics systems on a half plane, and using a boundary Coulomb gas formalism, we obtain in closed form the valence bond entanglement…

统计力学 · 物理学 2013-05-29 Jesper Lykke Jacobsen , Hubert Saleur

We study the Hubbard model on a bilayer with repulsive on-site interactions, $U$, in which fermions undergo both intra-plane ($t$) and inter-plane ($t_z$) hopping. This situation is what one would expect in high-temperature superconductors…

凝聚态物理 · 物理学 2016-08-31 Raimundo R dos Santos