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We have been able to resolve two long-standing issues that are central to the theory of high Tc superconductivity: (1) How is the physics of the doped region connected to that of the Mott insulator? (2) What is the origin of the…

Strongly Correlated Electrons · Physics 2013-05-29 Sanjoy K Sarker , Timothy Lovorn

A long-standing unsolved problem is how a microscopic theory of superconductivity in cuprate superconductors based on the charge-spin separation can produce a large electron Fermi surface. Within the framework of the kinetic-energy driven…

Superconductivity · Physics 2015-07-21 Shiping Feng , Lulin Kuang , Huaisong Zhao

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

A real spin-charge separation scheme is found based on a saddle-point state of the $t-J$ model. In the one-dimensional (1D) case, such a saddle-point reproduces the correct asymptotic correlations at the strong-coupling fixed-point of the…

Condensed Matter · Physics 2009-10-28 Z. Y. Weng , D. N. Sheng , C. S. Ting

Within the t-J model, the mechanism of superconductivity in doped cuprates is studied based on the partial charge-spin separation fermion-spin theory. It is shown that dressed holons interact occurring directly through the kinetic energy by…

Superconductivity · Physics 2009-11-10 Shiping Feng

Within the framework of the kinetic energy driven superconducting mechanism, the dynamical spin response of cuprate superconductors is studied from low-energy to high-energy. The spin self-energy is evaluated explicitly in terms of the…

Superconductivity · Physics 2014-09-29 Lulin Kuang , Yu Lan , Shiping Feng

A model of CuO$_2$ planes of cuprate perovskites, containing $d_{x^2-y^2}$ copper orbitals and symmetric combinations of oxygen $p_\sigma$ orbitals, is investigated using the strong coupling diagram technique. This approach allows one to…

Strongly Correlated Electrons · Physics 2020-09-01 Alexei Sherman

We utilize the Hubbard model to demonstrate that doping of the antiferromagnetic parent compounds of cuprate superconductors stabilizes a spin liquid state. Superconductivity in such a state emerges due to the spin-orbit coupling between…

Superconductivity · Physics 2022-11-17 Sergei Urazhdin

The nature of the spin excitations in superconducting cuprates is a key question toward a unified understanding of the cuprate physics from long-range antiferromagnetism to superconductivity. The intense spin excitations up to the…

A microscopic theory of spin excitations in strongly-correlated electronic systems within the t-J model is discussed. An exact representation for the dynamic spin susceptibility is derived. In the normal state, the excitation spectrum…

Strongly Correlated Electrons · Physics 2011-11-01 Nikolay Plakida

The physical nature of doped Mott-insulator has been intensively studied for more than three decades. It is well known that the single band Hubbard model or $t$-$J$ model on the bipartite lattice is the simplest model to describe a doped…

Strongly Correlated Electrons · Physics 2023-01-09 Jian-Jian Miao , Zheng-Yuan Yue , Hao Zhang , Wei-Qiang Chen , Zheng-Cheng Gu

Early studies proposed a connection between cuprate superconductivity and fractionalized spin liquid states. But the low temperature phase diagram is dominated by states without fractionalization, with a competition between…

Strongly Correlated Electrons · Physics 2025-05-23 Maine Christos , Zhu-Xi Luo , Henry Shackleton , Ya-Hui Zhang , Mathias Scheurer , Subir Sachdev

Using Monte Carlo techniques, we study a three-orbital CuO$_2$ spin-fermion model for copper-based high critical temperature superconductors that captures the charge-transfer properties of these compounds. Our studies reveal the presence of…

Superconductivity · Physics 2019-01-11 Mostafa Sherif Derbala Aly Hussein , Elbio Dagotto , Adriana Moreo

To describe the cuprate superconductors, models of strongly correlated electronic systems, such as the Hubbard or t-J models, are commonly employed. To study these models, projected (Hubbard) operators have to be used. Due to the…

Strongly Correlated Electrons · Physics 2016-12-21 Nikolay M. Plakida

A simple interlayer pair tunneling is solved exactly. We find that in the normal state spin-1/2 particle and hole excitations are gapped. But the state is an unusual metal, characterized by novel fermionic spin zero and charge +2e and -2e…

Condensed Matter · Physics 2007-05-23 Sanjoy K. Sarker , Philip W. Anderson

In non-centrosymmetric superconductors, spin-orbit coupling can induce an unconventional superconducting state with a mixture of s-wave spin-singlet and p-wave spin-triplet channels, which leads to a variety of exotic phenomena, including…

Superconductivity · Physics 2018-10-03 Jiabin Yu , Chao-Xing Liu

Recently, we have solved the long-standing problem of connecting the physics of the Mott insulator to the underdoped regime of the t-J model [PRB 82, 014504, 2010]. We have derived a renormalized Hamiltonian valid for small doping (x) which…

Superconductivity · Physics 2010-12-07 Sanjoy K. Sarker , Timothy Lovorn

We make use of the S=1 pseudospin formalism to describe the charge degree of freedom in a model high-$T_c$ cuprate with the on-site Hilbert space reduced to the three effective valence centers, nominally Cu$^{1+,\,2+,\,3+}$. Starting with a…

Superconductivity · Physics 2019-02-20 E. V. Vasinovich , A. S. Moskvin , Yu. D. Panov

Asymptotic properties of nearly-half-filled one-dimensional conductors coupled with phonons are studied through a renormalization group method. Due to spin-charge coupling via electron-phonon interaction, the spin correlation varies with…

Strongly Correlated Electrons · Physics 2009-04-27 K. Yonemitsu , M. Imada

We theoretically analyse the process of charge recombination in the planar Mott-Hubbard insulators with the aim to explain short picosecond-range lifetime of photoexcited carriers, experimentally studied via pump-probe experiments on the…

Strongly Correlated Electrons · Physics 2015-01-07 Zala Lenarčič , Peter Prelovšek
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