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We present exact diagonalization results on finite clusters of a $t$-$J$ model of spin-1/2 electrons with random all-to-all hopping and exchange interactions. We argue that such random models capture qualitatively the strong local…

Strongly Correlated Electrons · Physics 2025-09-09 Leyna Shackleton , Alexander Wietek , Antoine Georges , Subir Sachdev

We numerically study a model of interacting spin-$1/2$ electrons with random exchange coupling on a fully connected lattice. This model hosts a quantum critical point separating two distinct metallic phases as a function of doping: a Fermi…

Strongly Correlated Electrons · Physics 2022-06-07 Philipp T. Dumitrescu , Nils Wentzell , Antoine Georges , Olivier Parcollet

Anomalous metals are observed in numerous experiments on disordered two-dimensional systems proximate to superconductivity. A characteristic feature of an anomalous metal is that its low temperature conductivity has a weakly temperature…

Strongly Correlated Electrons · Physics 2021-03-31 Chenyuan Li , Darshan G. Joshi , Subir Sachdev

The effective interaction between the itinerant spin degrees of freedom in the paramagnetic phases of hole doped quantum Heisenberg antiferromagnets is investigated theoretically, based on the single-band t-J model on 1D lattice, at zero…

Strongly Correlated Electrons · Physics 2018-07-11 Suraka Bhattacharjee , Ranjan Chaudhury

`Strange metals' with resistivity depending linearly on temperature $T$ down to low-$T$ have been a long-standing puzzle in condensed matter physics. Here, we consider a model of itinerant spin-$1/2$ fermions interacting via on-site Hubbard…

Strongly Correlated Electrons · Physics 2020-09-14 Peter Cha , Nils Wentzell , Olivier Parcollet , Antoine Georges , Eun-Ah Kim

We analyze the thermodynamics and the critical behavior of the supersymmetric su($m$) $t$-$J$ model with long-range interactions. Using the transfer matrix formalism, we obtain a closed-form expression for the free energy per site both for…

Strongly Correlated Electrons · Physics 2020-09-03 B. Basu-Mallick , N. Bondyopadhaya , J. A. Carrasco , F. Finkel , A. Gonzalez-Lopez

We have studied the critical behaviour of a doped Mott insulator near the metal-insulator transition for the infinite-dimensional Hubbard model using a linearized form of dynamical mean-field theory. The discontinuity in the chemical…

Strongly Correlated Electrons · Physics 2009-11-07 Y. Ono , R. Bulla , A. C. Hewson , M. Potthoff

We propose an explanation of several experimental features of transport phenomena in the normal state of high Tc cuprates in terms of a spin-charge gauge theory of the 2D t-J model. The calculated doping-temperature dependence for a number…

Strongly Correlated Electrons · Physics 2009-11-11 P. A. Marchetti , Z. B. Su , L. Yu

We study the crossover from the underdoped to the overdoped regime in the t-J model.The underdoped regime is dominated by the superexchange interaction, locking the spins into singlets which weakly perturbe coherent charge carriers. In the…

Strongly Correlated Electrons · Physics 2009-11-11 Kristjan Haule , Gabriel Kotliar

We study the doping of a Mott insulator in the presence of quenched frustrating disorder in the magnetic exchange. A low doping regime $\delta<J/t$ is found, in which the quasiparticle coherent scale is low : $\epsilon_F^* = J…

Strongly Correlated Electrons · Physics 2016-08-31 Olivier Parcollet , Antoine Georges

We study superconducting pairing in the doped Kitaev-Heisenberg model by taking into account the recently proposed symmetric off-diagonal exchange $\Gamma$. By performing a mean-field analysis, we classify all possible superconducting…

Superconductivity · Physics 2018-01-17 Johann Schmidt , Daniel D. Scherer , Annica M. Black-Schaffer

The most puzzling aspect of the 'strange metal' behavior of correlated electron compounds is that the linear in temperature resistivity often extends down to low temperatures, lower than natural microscopic energy scales. We consider…

Strongly Correlated Electrons · Physics 2020-08-10 Haoyu Guo , Yingfei Gu , Subir Sachdev

We investigate models of electrons in the Sachdev-Ye-Kitaev class with random and all-to-all electron hopping, electron spin exchange, and Cooper-pair hopping. An attractive on-site interaction between electrons leads to superconductivity…

Superconductivity · Physics 2023-01-26 Chenyuan Li , Subir Sachdev , Darshan G. Joshi

We study the 2D static spin-pseudospin model equivalent to the dilute frustrated antiferromagnetic Ising model with charge impurities. We present the results of classical Monte Carlo simulation on a square lattice with periodic boundary…

Statistical Mechanics · Physics 2021-09-23 D. N. Yasinskaya , V. A. Ulitko , A. A. Chikov , Yu. D. Panov

We propose a lattice model for strongly interacting electrons with the potential to explain the main phenomenology of the strange metal phase in the cuprate high temperature superconductors. Our model is motivated by the recently developed…

Strongly Correlated Electrons · Physics 2018-10-23 Xiaochuan Wu , Xiao Chen , Chao-Ming Jian , Yi-Zhuang You , Cenke Xu

We discuss a phase transition in spin glass models which have been rarely considered in the past, namely the phase transition that may take place when two real replicas are forced to be at a larger distance (i.e. at a smaller overlap) than…

Disordered Systems and Neural Networks · Physics 2020-02-27 Maddalena Dilucca , Luca Leuzzi , Giorgio Parisi , Federico Ricci-Tersenghi , Juan J. Ruiz-Lorenzo

Ising spin-glass systems with long-range interactions ($J(r)\sim r^{-\sigma}$) are considered. A numerical study of the critical behaviour is presented in the non-mean-field region together with an analysis of the probability distribution…

Disordered Systems and Neural Networks · Physics 2009-10-31 Luca Leuzzi

We examine the metal-insulator transition in a half-filled Hubbard model of electrons with random and all-to-all hopping and exchange, and an on-site non-random repulsion, the Hubbard $U$. We argue that recent numerical results of Cha et…

Strongly Correlated Electrons · Physics 2020-05-13 Grigory Tarnopolsky , Chenyuan Li , Darshan G. Joshi , Subir Sachdev

Starting from a spin-fermion model for the cuprate superconductors, we obtain an effective interaction for the charge carriers by integrating out the spin degrees of freedom. Our model predicts a quantum critical point for the…

Superconductivity · Physics 2020-09-28 Lizardo H. C. M. Nunes , A. W. Teixeira , E. C. Marino

An analysis of the upper critical field in the gauge model is presented. It is shown that a `strange metallic' normal state has implications for the pairing transition even if the resulting superconducting state is essentially conventional.…

Condensed Matter · Physics 2009-10-22 A. J. Schofield
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