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Over the last two decades, the competing orders in high-$T_{c}$ cuprates have been intensely studied, such as pseudogap phase, charge density waves (CDW), and pair density waves (PDW), which are thought to play a crucial role in…

Strongly Correlated Electrons · Physics 2025-11-24 Wayne Zheng , Zheng-Yuan Yue , Jian-Hao Zhang , Zheng-Cheng Gu

Complex phase diagrams are generic feature of quantum materials that display high temperature superconductivity. In addition to d-wave superconductivity (or other unconventional states), these phase diagrams typically include various forms…

Superconductivity · Physics 2025-07-29 Eduardo Fradkin

Spin-triplet topological superconductors should exhibit many unprecedented electronic properties including fractionalized electronic states relevant to quantum information processing. Although UTe$_2$ may embody such bulk topological…

We consider the id-density wave (DDW) order, representing the pseudo-gap (PG) state, and the d-wave superconductivity (DSC)within the BCS framework for the two-dimensional (2D) fermion system on a square lattice starting with a mean-field…

Superconductivity · Physics 2013-06-28 Partha Goswami

We show, based on microscopic models, that fermionic band insulators with multiple bands and strong interband attraction are generically unstable towards nonzero momentum Cooper pairing leading to a pair density wave (PDW) superfluid state.…

Superconductivity · Physics 2015-05-13 Predrag Nikolic , A. A. Burkov , Arun Paramekanti

We study the emergence of multiband superconductivity with $s$- and $d-$wave symmetry on the background of spin density wave (SDW). We show that the SDW coherence factors renormalize the momentum dependence of the superconducting (SC) gap,…

Superconductivity · Physics 2015-05-13 J. -P. Ismer , Ilya Eremin , Enrico Rossi , Dirk K. Morr , G. Blumberg

A recent scanning tunneling microscopy (STM) experiment reports the observation of charge density wave (CDW) with period of approximately 8a in the halo region surrounding the vortex core, in striking contrast to the approximately period 4a…

Strongly Correlated Electrons · Physics 2018-07-20 Zhehao Dai , Ya-Hui Zhang , T. Senthil , Patrick Lee

Typical BCS superconductors are microscopically homogeneous in real space governed by the coherent Cooper pairs with high phase stiffness of superfluid density, which is characterized by a coherence length. However, a periodic oscillation…

Superconductivity · Physics 2024-06-13 Yao Zhang , Lianzhi Yang , Chaofei Liu , Wenhao Zhang , Ying-Shuang Fu

Electron-lattice coupling effects in low dimensional materials give rise to charge density wave (CDW) order and phase transitions. These phenomena are critical ingredients for superconductivity and predominantly occur in metallic model…

A spatially modulated superconducting state, known as pair density wave (PDW), is a tantalizing state of matter with unique properties. Recent scanning tunneling microscopy (STM) studies revealed that spin-triplet superconductor UTe$_2$…

Strongly Correlated Electrons · Physics 2024-08-08 Caitlin S. Kengle , Jakub Vonka , Sonia Francoual , Johan Chang , Peter Abbamonte , Marc Janoschek , P. F. S. Rosa , Wolfgang Simeth

The issue of whether $d$-wave superconductivity (SC) occurs in the square-lattice Hubbard model with $U$ of order of the bandwidth has been one of the most debated issues to emerge from the study of high temperature SC. Here, we report…

Strongly Correlated Electrons · Physics 2025-11-25 Hong-Chen Jiang , Thomas P. Devereaux , Steven A. Kivelson

We consider electrons on a honeycomb or triangular lattice doped to the saddle point of the bandstructure. We assume system parameters are such that spin density wave (SDW) order emerges below a temperature $T_N$ and investigate the nature…

Strongly Correlated Electrons · Physics 2013-05-15 Rahul Nandkishore , Gia-Wei Chern , Andrey V. Chubukov

Central to the layered kagome lattice superconductors AV3Sb5 (A = K, Cs, Rb) is a cascade of novel quantum states triggered by an unconventional charge density wave (CDW) order. The three-dimensional (3D) order involves a 2x2x2 phase…

We analyze the interplay between charge-density-wave (CDW) and pair-density-wave (PDW) orders within the spin-fermion model for the cuprates. We specifically consider CDW order with transferred momenta $(\pm Q,0)$/$(0,\pm Q)$, and PDW order…

Strongly Correlated Electrons · Physics 2015-06-23 Yuxuan Wang , Daniel F. Agterberg , Andrey Chubukov

We analyze incommensurate charge-density-wave (CDW) and pair-density-wave (PDW) orders with transferred momenta $(\pm Q,0)$/$(0,\pm Q)$ in underdoped cuprates within the spin-fermion model. Both orders appear due to exchange of spin…

Strongly Correlated Electrons · Physics 2015-05-21 Yuxuan Wang , Daniel F. Agterberg , Andrey Chubukov

Pair density waves (PDWs) are superconducting states formed by ``Cooper pairs" of electrons containing a non-zero center-of-mass momentum. They are characterized by a spatially modulated order parameter and may occur in a variety of…

We study the effects of doping the Kitaev model on the honeycomb lattice where the spins interact via the bond-directional interaction $J_K$, which is known to have a quantum spin liquid as its exact ground state. The effect of hole doping…

Strongly Correlated Electrons · Physics 2021-07-08 Cheng Peng , Yi-Fan Jiang , Thomas P. Devereaux , Hong-Chen Jiang

We investigate the properties and the microscopic structure of superconductivity (SC), coexisting and sharing the common conducting band with density wave (DW). Such coexistence may take place when the nesting of the Fermi surface (FS) is…

Superconductivity · Physics 2009-11-13 P. D. Grigoriev

We study the coexistence of pair- (PDW) and charge-density-wave (CDW) states within the single-band $t$-$J$-$U$ and Hubbard models of $d$-$wave$ superconductivity and discuss our results in the context of the experimental observations for…

Superconductivity · Physics 2018-11-07 M. Zegrodnik , J. Spałek

The discovery of multiple charge-density-wave (CDW) orders in superconducting cuprates and Kagome CsV3Sb5 has offered a unique milieu for studying the interplay of CDW and superconductivity and altered our perspective on their nature. Here,…

Superconductivity · Physics 2023-10-06 Shuyang Wang , Qing Wang , Chao An , Yonghui Zhou , Ying Zhou , Xuliang Chen , Ning Hao , Zhaorong Yang