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The quarter-filling extended Hubbard model on the triangular lattice is studied to explore pairing instability in the three-fold charge-ordered (CO) metal. We derive a second-order strong-coupling effective Hamiltonian of doped carriers…

Superconductivity · Physics 2015-05-13 Shotaro Morohoshi , Yoshiyuki Fukumoto

Bilayer transition metal dichalcogenides (TMDs) belong to a class of materials with two unique features, the coupled spin-valley-layer degrees of freedom and the crystal structure that is globally centrosymmetric but locally…

Mesoscale and Nanoscale Physics · Physics 2017-03-01 Chao-Xing Liu

Transition metal dichalcogenide (TMD) bilayers are a new class of tunable moir\'e systems attracting interest as quantum simulators of strongly-interacting electrons in two dimensions. In particular, recent theory predicts that the…

Strongly Correlated Electrons · Physics 2021-01-01 Kevin Slagle , Liang Fu

The advent of twisted moir\'e heterostructures as a playground for strongly correlated electron physics has led to a plethora of experimental and theoretical efforts seeking to unravel the nature of the emergent superconducting and…

Strongly Correlated Electrons · Physics 2022-05-06 Dominik Kiese , Yuchi He , Ciarán Hickey , Angel Rubio , Dante M. Kennes

Motivated by the recently discovered high $T_c$ nickelate superconductor $\mathrm{La_3Ni_2O_7}$, we investigate superconductivity in a two dimensional Hubbard model on square lattice that consists of two layers of hybridizing $d_{x^2-y^2}$…

Strongly Correlated Electrons · Physics 2025-01-10 Yao-Yuan Zheng , Wéi Wú

Motivated by the possible non-spin-singlet superconductivity in the magic-angle twisted trilayer graphene experiment, we investigate the triplet-pairing superconductivity arising from a correlation-induced spin-fermion model on a honeycomb…

Superconductivity · Physics 2021-11-18 Yang-Zhi Chou , Fengcheng Wu , Jay D. Sau , Sankar Das Sarma

The few-layer transition metal dichalcogenides (TMDs) have been recently suggested as a platform for controlled unconventional superconductivity. We study the manifestations of unconventional triplet pairing in the density of states of a…

Superconductivity · Physics 2021-01-01 M. Haim , D. Möckli , M. Khodas

We analyze an analog of the $t$-$J$-$U$ model as applied to the description of a single moir\'e flat band of twisted WSe$_2$ bilayer. To take into account the correlation effects induced by a significant strength of the Coulomb repulsion,…

Strongly Correlated Electrons · Physics 2025-05-15 M. Zegrodnik , A. Biborski

The discovery of superconductivity in twisted bilayer and twisted trilayer graphene has generated tremendous interest. The key feature of these systems is an interplay between interlayer coupling and a moir\'e superlattice that gives rise…

We investigate the bilayer model with two layers of imbalanced densities coupled by the interlayer hybridization. Using the large-scale dynamical cluster quantum Monte Carlo simulation, we discovered that increased hybridization induces a…

Superconductivity · Physics 2025-12-12 Ziying Jia , Xun Liu , Mi Jiang

The moir\'e Hubbard model describes correlations in certain homobilayer twisted transition metal dichalcogenides. Using exact diagonalization and density matrix renormalization group methods, we find magnetic Mott insulating and metallic…

Strongly Correlated Electrons · Physics 2022-11-15 Alexander Wietek , Jie Wang , Jiawei Zang , Jennifer Cano , Antoine Georges , Andrew Millis

We explore superconductivity in strongly interacting electrons on a decorated honeycomb lattice (DHL). An easy-plane ferromagnetic interaction arises from spin-orbit coupling in the Mott insulating phase, which favors a triplet resonance…

Superconductivity · Physics 2022-12-22 Manuel Fernández López , Ben J. Powell , Jaime Merino

Strain-induced lattice mismatch leads to moir\'{e} patterns in homobilayer transition metal dichalcogenides (TMDs). We investigate the structural and electronic properties of such strained moir\'{e} patterns in TMD homobilayers. The…

Materials Science · Physics 2025-10-21 Sudipta Kundu , Indrajit Maity , Robin Bajaj , H. R. Krishnamurthy , Manish Jain

We generalize the recently introduced TRILEX approach (TRiply Irreducible Local EXpansion) to superconducting phases. The method treats simultaneously Mott and spin-fluctuation physics using an Eliashberg theory supplemented by local vertex…

Strongly Correlated Electrons · Physics 2017-09-07 Jaksa Vucicevic , Thomas Ayral , Olivier Parcollet

Motivated by the recent numerical simulations for doped $t$-$J$ model on the honeycomb lattice, we study superconductivity of singlet and triplet pairing on the honeycomb lattice Hubbard model. We show that a superconducting state with…

Strongly Correlated Electrons · Physics 2020-12-25 Yang Qi , Liang Fu , Kai Sun , Zhengcheng Gu

Several research groups have reported on the observation of superconductivity in bilayer graphene structures where single atomic layers of graphene are stacked and then twisted at angles $\theta$ forming Moir\'e superlattices. The…

Superconductivity · Physics 2020-01-15 Evgueni F. Talantsev , Ratu C. Mataira , Wayne P. Crump

We present a systematic theoretical study on the structural and electronic properties of twisted trilayer transition metal dichalcogenide (TMD) WSe$_2$, where two independent moir\'e patterns form between adjacent layers. Using a continuum…

Mesoscale and Nanoscale Physics · Physics 2025-12-19 Naoto Nakatsuji , Takuto Kawakami , Hayato Tateishi , Koichiro Kato , Mikito Koshino

Moir\'e materials provide exciting platforms for studying the interplay of strong electronic correlation and large magnetic flux effects. We study the lightly doped Hofstadter-Hubbard model on a triangular lattice through large-scale…

Strongly Correlated Electrons · Physics 2025-09-04 Feng Chen , Wen O. Wang , Jia-Xin Zhang , Leon Balents , D. N. Sheng

We report a large-scale density-matrix renormalization group study of the lightly doped Hubbard model on 4-leg cylinders at hole doping concentration $\delta=12.5\%$. By keeping a large number of states for long system sizes, we are able to…

Strongly Correlated Electrons · Physics 2019-09-30 Hong-Chen Jiang , Thomas P. Devereaux

Moir\'e superlattices have recently emerged as a novel platform where correlated physics and superconductivity can be studied with unprecedented tunability. Although correlated effects have been observed in several other moir\'e systems,…

Superconductivity · Physics 2021-02-03 Jeong Min Park , Yuan Cao , Kenji Watanabe , Takashi Taniguchi , Pablo Jarillo-Herrero