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We study the twisted Hubbard model of a cuprate bilayer at a fixed twist angle $\theta=53.13^{\circ}$ using the variational cluster approximation, a method that treats short-range dynamical correlations exactly. At intermediate interlayer…

Strongly Correlated Electrons · Physics 2022-07-13 Xiancong Lu , David Sénéchal

Recent theoretical work predicted emergence of chiral topological superconducting phase with spontaneously broken time reversal symmetry in a twisted bilayer composed of two high-$T_c$ cuprate monolayers, such as…

Superconductivity · Physics 2021-10-13 Oguzhan Can , Xiao-Xiao Zhang , Catherine Kallin , Marcel Franz

Twisted bilayers of high-$T_c$ cuprate superconductors have been argued to form topological phases with spontaneously broken time reversal symmetry ${\cal T}$ for certain twist angles. With the goal of helping to identify unambiguous…

Superconductivity · Physics 2022-02-16 Tarun Tummuru , Stephan Plugge , Marcel Franz

We carry out a theoretical study of unconventional superconductivity in twisted bilayer cuprates (TBC) as a function of electron density and layer twist angle. The bilayer $t$-$J$-$U$ model is employed and analyzed within the framework of a…

Superconductivity · Physics 2024-10-11 Maciej Fidrysiak , Bartłomiej Rzeszotarski , Józef Spałek

Since the prediction of a time-reversal symmetry breaking (TRSB) $d+id^\prime$ state in twisted bilayer cuprate superconductors by Can et al. in 2021, several experiments have attempted to detect this state, yielding conflicting results. At…

Superconductivity · Physics 2026-03-12 Siddhant Panda , Andreas Kreisel , Laura Fanfarillo , Peter Hirschfeld

Twisted bilayers of nodal superconductors were recently proposed as a promising platform to host superconducting phases that spontaneously break time-reversal symmetry. Here we extend this analysis to twisted multilayers, focusing on two…

Superconductivity · Physics 2022-07-28 Tarun Tummuru , Étienne Lantagne-Hurtubise , Marcel Franz

At total filling factor $\nu=1$ quantum Hall bilayers can have an ordered ground state with spontaneous interlayer phase coherence. The ordered state is signaled experimentally by dramatically enhanced interlayer tunnel conductances at low…

Mesoscale and Nanoscale Physics · Physics 2012-12-06 Jung-Jung Su , Allan H. MacDonald

We study a one-band Hubbard model for a twisted cuprate bilayer with a twist angle of 43.6$^\circ$ and a moire cell containing 58 sites. We use the variational cluster approximation (VCA), which treats short-range correlations exactly and…

Strongly Correlated Electrons · Physics 2024-01-08 Mathieu Bélanger , David Sénéchal

Twisted nodal superconductors have been shown to exhibit chiral topological superconductivity under broken time-reversal symmetry. Here we show how a time-reversal preserving topological superconductivity can be induced in nodal triplet…

Superconductivity · Physics 2024-06-12 Kevin P. Lucht , Pavel A. Volkov , J. H. Pixley

We investigate the emergence of nontrivial topology in a twisted cuprate bilayer described by the Hubbard model in the weak-interaction regime. Our results show that the topological character depends sensitively on the doping level. For…

Strongly Correlated Electrons · Physics 2026-05-11 T. Vibert , D. Sénéchal

Understanding the electron pairing in hole-doped cuprate superconductors has been a challenge, in particular because the "normal" state from which it evolves is unprecedented. Now, after three and a half decades of research, involving a…

Superconductivity · Physics 2021-06-17 J. M. Tranquada

We investigate strong coupling topological superconductivity in twisted moir\'e bilayer WSe$_2$. Our approach is based on an effective $t$-$J$ model with displacement-field-dependent complex hoppings, which is treated with the variational…

Superconductivity · Physics 2025-05-15 Waseem Akbar , Andrzej Biborski , Louk Rademaker , Michał Zegrodnik

It was recently shown that a chiral topological phase emerges from the coupling of two twisted monolayers of superconducting Bi$_2$Sr$_2$CaCu$_2$O$_{8+\delta}$ for certain twist angles. In this work, we reveal the behavior of such twisted…

Superconductivity · Physics 2022-07-01 Leonardo R. Cadorim , Edson Sardella , Milorad V. Milošević

We study a one-band Hubbard model of twisted bilayer cuprates with a twist angle of $53.13^\circ$. By introducing an inter-layer bias, we simulate heterobilayers of different dopings. Using the variational cluster approximation (VCA) we…

Strongly Correlated Electrons · Physics 2023-11-07 Mathieu Bélanger , David Sénéchal

The recent observation of superconductivity in twisted bilayer WSe$_2$ raises intriguing questions concerning the origin and the properties of superconducting states realized in bands with non-trivial topological properties and repulsive…

Superconductivity · Physics 2024-08-30 Daniele Guerci , Daniel Kaplan , Julian Ingham , J. H. Pixley , Andrew J. Millis

We review and extend a previous study on the symmetry of the superconducting state, stimulated by recent tunneling and Andreev reflection measurements giving robust evidences for the existence of a $d_{x^2-y^2}+id_{xy}$ order parameter in…

Superconductivity · Physics 2009-11-07 G. Sangiovanni , M. Capone , S. Caprara

Cuprate superconductors display robust in-plane electronic correlations but exceptionally fragile interlayer coherence. We suggest that even weak vertically correlated disorder (arising from interstitial-oxygen staging, twin boundaries,…

Superconductivity · Physics 2026-02-12 E. Yu. Beliayev , Y. K. Mishra , I. G. Mirzoiev , V. V. Andrievskii , A. V. Terekhov

We investigate multicomponent superconductivity in twisted bilayer cuprates with order parameter $s+d_1 e^{i\phi_1}+d_2 e^{i\phi_2}$, where $s=s_1+s_2$ is the symmetric layer-resolved $s$-wave component and $d_i$ denotes the $d$-wave…

Superconductivity · Physics 2026-05-29 Yu-Hang Li , Congjun Wu , Wang Yang

There is growing evidence that the unconventional spatial inhomogeneities in the doped high-Tc superconductors are accompanied by the pairing of electrons, subsequent quantum phase transitions (QPTs), and condensation in coherent states. We…

Strongly Correlated Electrons · Physics 2012-11-12 Kun Fang , G. W. Fernando , A. V. Balatsky , A. N. Kocharian , Kalum Palandage

We argue that incoherent pair tunneling in a cuprate superconductor junction with an optimally doped superconducting and an underdoped normal lead can be used to detect the presence of pairing correlations in the pseudogap phase of the…

Strongly Correlated Electrons · Physics 2009-10-31 Boldizsar Janko , Ioan Kosztin , K. Levin , M. R. Norman , Douglas J. Scalapino
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