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Ultrathin FeSe films grown on SrTiO$_{3}$ substrates are a recent milestone in atomic material engineering due to their important role in understanding unconventional superconductivity in Fe-based materials. Using femtosecond time- and…

Spontaneous formation of charge density wave (CDW) superstructures in monolayers (MLs) of a two-dimensional (2D) crystal lattice is fundamental in understanding its complex quantum states. We report a successful top-down liquid phase…

Density-wave patterns in (quasi-) discrete media with local interactions are known to be unstable. We demonstrate that \emph{stable} double- and triple- period patterns (DPPs and TPPs), with respect to the period of the underlying lattice,…

Electronic properties of crystals can be manipulated using spatially periodic modulations. Long-wavelength, incommensurate modulations are of particular interest, exemplified recently by moir\'e patterned van der Waals (vdW)…

We define a distinct phase of matter, a "pair density wave" (PDW), in which the superconducting order parameter $\phi$ varies periodically as a function of position such that when averaged over the center of mass position, all components of…

Superconductivity · Physics 2009-02-25 Erez Berg , Eduardo Fradkin , Steven A. Kivelson

The transition-metal kagome lattice materials host frustrated, correlated, and topological quantum states of matter. Recently, a new family of vanadium-based kagome metals AV3Sb5 (A=K, Rb, and Cs) with topological band structures has been…

We report the superconductivity evolution of one unit cell (1-UC) and 2-UC FeSe films on SrTiO3(001) substrates with potassium (K) adsorption. By in situ scanning tunneling spectroscopy measurement, we find that the superconductivity in…

Compelling evidence exists for electronic phase separation in cuprate high-$T_c$ superconductors, emerging near 1/8 hole doping. At these dopings and low temperatures, intertwined charge and spin stripes coexist with more uniformly doped…

Strongly Correlated Electrons · Physics 2025-05-14 Qiang Chen , Angela Moskal , Yiheng Wang , B. D. E. McNiven , A. A. Aczel , Wei Tian , B. D. Gaulin

The Holstein Hamiltonian describes fermions hopping on a lattice and interacting locally with dispersionless phonon degrees of freedom. In the low density limit, dressed quasiparticles, polarons and bipolarons, propagate with an effective…

Strongly Correlated Electrons · Physics 2021-06-09 Owen Bradley , George G. Batrouni , Richard T. Scalettar

Superconductivity (SC) in so-called "unconventional superconductors" is nearly always found in the vicinity of another ordered state, such as antiferromagnetism, charge density wave (CDW), or stripe order. This suggests a fundamental…

The intricate interplay between novel lattice geometry and spontaneous symmetry-breaking states is at the forefront of contemporary research on quantum materials. Recently, the observation of unconventional charge and pairing density waves…

We study the evolution of the superconducting coherence length $\xi_0$ from weak to strong coupling, both within a s-wave and a d-wave lattice model. We show that the identification of $\xi_0$ with the Cooper-pair size $\xi_{pair}$ in the…

Superconductivity · Physics 2009-11-07 L. Benfatto , A. Toschi , S. Caprara , C. Castellani

We investigate color superconductivity on the lattice using the gap equation for the Cooper pair condensate. The weak coupling analysis is justified by choosing the physical size of the lattice to be smaller than the QCD scale, while…

High Energy Physics - Lattice · Physics 2023-06-28 Takeru Yokota , Yuta Ito , Hideo Matsufuru , Yusuke Namekawa , Jun Nishimura , Asato Tsuchiya , Shoichiro Tsutsui

The de Gennes extrapolation length is a direction dependent measure of the spatial evolution of the pairing gap near the boundary of a superconductor, and thus provides a viable means to probe its symmetry. It is expected to be infinite and…

Superconductivity · Physics 2019-04-16 Zhuozhi Ge , Chenhui Yan , Huimin Zhang , Daniel Agterberg , Michael Weinert , Lian Li

1T-TaS$_2$ is a layered charge density wave (CDW) crystal exhibiting sharp phase transitions and associated resistance changes. These resistance steps could be exploited for information storage, underscoring the importance of controlling…

Charge density wave (CDW), the periodic modulation of the electronic charge density, will open a gap on the Fermi surface that commonly leads to decreased or vanishing conductivity. On the other hand superconductivity, a commonly believed…

For decades, superconductivity in high-Tc cuprates has been viewed as a competitor that suppresses charge-density-wave (CDW) order by reducing its amplitude and spatial extent. Here, we show that this picture is incomplete, as…

Superconductivity · Physics 2026-05-13 H. Lee , C. -T. Kuo , M. Fujita , C. -C. Kao , J. -S. Lee

Understanding the formation of novel pair density waves (PDWs) in strongly correlated electronic systems remains challenging. Recent mean-field studies suggest that PDW phases may arise in strong-coupling multiband superconductors by virtue…

Strongly Correlated Electrons · Physics 2025-10-24 Hao-Xin Wang , Wen Huang

Superconductivity emerging near charge-density-wave (CDW) quantum critical points often defies a conventional BCS description, particularly in multi-orbital systems with small and orbitally distinct Fermi surfaces. In TiSe$_2$,…

Strongly Correlated Electrons · Physics 2026-03-20 Jin Mo Bok , B. J. Kim , Ki-Seok Kim

Motivated by recent reports of ambient-pressure superconductivity in La$_3$Ni$_2$O$_7$ films grown on LaSrAlO$_4$, we investigate the superconducting instability in a one-unit cell thin film using {\it ab initio} and random-phase…

Superconductivity · Physics 2025-12-23 Yang Zhang , Ling-Fang Lin , Adriana Moreo , Satoshi Okamoto , Thomas A. Maier , Elbio Dagotto