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Though most fermionic Mott insulators order at low temperatures, ordering is ancillary to their insulating behaviour. Our emphasis here is on disentangling ordering from the intrinsic strongly correlated physics of a doped half-filled band.…

Strongly Correlated Electrons · Physics 2009-11-10 Tudor D. Stanescu , Philip Phillips

We study possible charge instabilities in doped Mott insulators by employing the two-dimensional t-J model with a positive value of the next nearest-neighbor hopping integral t' on a square lattice, which is applicable to electron-doped…

Superconductivity · Physics 2014-12-04 Matias Bejas , Andres Greco , Hiroyuki Yamase

We study the superconducting state of the hole-doped two-dimensional Hubbard model using Cellular Dynamical Mean Field Theory, with the Lanczos method as impurity solver. In the under-doped regime, we find a natural decomposition of the…

Strongly Correlated Electrons · Physics 2008-02-04 M. Civelli , M. Capone , A. Georges , K. Haule , O. Parcollet , T. D. Stanescu , G. Kotliar

A Mott insulator sometimes induces unconventional superconductivity in its neighbors when doped and/or pressurized. Because the phase diagram should be strongly related to the microscopic mechanism of the superconductivity, it is important…

Strongly Correlated Electrons · Physics 2019-05-14 Yoshitaka Kawasugi , Kazuhiro Seki , Satoshi Tajima , Jiang Pu , Taishi Takenobu , Seiji Yunoki , Hiroshi M. Yamamoto , Reizo Kato

We present a systematic study of spin dynamics in a superconducting ground state, which itself is a doped-Mott-insulator and can correctly reduce to an antiferromagnetic (AF) state at half-filling with an AF long-range order (AFLRO). Such a…

Superconductivity · Physics 2007-05-23 W. Q. Chen , Z. Y. Weng

In strongly correlated electron systems, the emergence of states in the Mott gap in the single-particle spectrum following the doping of the Mott insulator is a remarkable feature that cannot be explained in a conventional rigid-band…

Strongly Correlated Electrons · Physics 2015-08-20 Masanori Kohno

We have carried out density-matrix-renormalization group (DMRG) calculations for the problem of one doped hole in a two-leg $t-J$ ladder. Recent studies have concluded that exotic "Mott" physics --- arising from the projection onto the…

Strongly Correlated Electrons · Physics 2015-08-05 S. R. White , D. J. Scalapino , S. A. Kivelson

Momentum resolved inelastic resonant x-ray scattering is used to map the evolution of charge excitations over a large range of energies, momenta and doping levels in the electron doped Mott insulator class Nd$_{2-x}$Ce$_x$CuO$_4$. As the…

Strongly Correlated Electrons · Physics 2008-12-11 Y. W. Li , D. Qian , L. Wray , D. Hsieh , Y. Kaga , T. Sasagawa , H. Takagi , R. S. Markiewicz , A. Bansil , H. Eisaki , S. Uchida , M. Z. Hasan

We present a new approach to static and dynamical properties of holes and spins in weakly doped antiferromagnets in two dimensions. The calculations are based on a recently introduced cumulant approach to ground--state properties of…

Condensed Matter · Physics 2009-10-28 Matthias Vojta , Klaus W. Becker

It is generally accepted that doped Mott insulators can be well characterized by the t-J model. In the t-J model, the electron fractionalization is dictated by the phase string effect. We found that in the underdoped regime, the…

Strongly Correlated Electrons · Physics 2012-01-18 Peng Ye , Chu-Shun Tian , Xiao-Liang Qi , Zheng-Yu Weng

We apply the fermionic tensor network (TN) state method to understand the strongly correlated nature in a doped Mott insulator. We conduct a comparative study of the $\sigma t$-$J$ model, in which the no-double-occupancy constraint remains…

Strongly Correlated Electrons · Physics 2025-12-19 Wayne Zheng , Jia-Xin Zhang , Zheng-Yuan Yue , Zheng-Cheng Gu , Zheng-Yu Weng

The doped Mott insulator in one dimension has been studied based on the phase Hamiltonian with the Umklapp scattering process, in which the charge degree of freedom is described by the quantum sine-Gordon model. The well-known equivalence…

Condensed Matter · Physics 2009-10-28 Michiyasu Mori , Hidetoshi Fukuyama

We report on a detailed examination of numerical results and analytical calculations devoted to a study of two holes doped into a two-dimensional, square lattice described by the t-J model. Our exact diagonalization numerical results…

Strongly Correlated Electrons · Physics 2009-10-31 A. L. Chernyshev , P. W. Leung , R. J. Gooding

A description of long-lived photo-doped states in Mott insulators is challenging, as it needs to address exponentially separated timescales. We demonstrate how properties of such states can be computed using numerically exact steady state…

Strongly Correlated Electrons · Physics 2023-11-27 Fabian Künzel , André Erpenbeck , Daniel Werner , Enrico Arrigoni , Emanuel Gull , Guy Cohen , Martin Eckstein

We present a general framework for describing the quantum phases obtained by doping paramagnetic Mott insulators on the square lattice. The undoped insulators are efficiently characterized by the projective transformations of various fields…

Strongly Correlated Electrons · Physics 2008-11-26 Leon Balents , Subir Sachdev

The kinetic features of holes (electrons) in the Hubbard model are studied using a variational Monte Carlo method. In doped Mott insulators (U>U_co), holes are classified, in the sense of conduction, into two categories: (i) The holes…

Strongly Correlated Electrons · Physics 2012-11-28 H. Yokoyama , S. Tamura , K. Kobayashi , M. Ogata

In this paper we explore the incommensurate spatial modulation of spin-spin correlations as the intrinsic property of the doped Mott insulator, described by the $t-J$ model. We show that such an incommensurability is a direct manifestation…

Strongly Correlated Electrons · Physics 2009-10-31 Z. Y. Weng , D. N. Sheng , C. S. Ting

By combining a generalized Lanczos scheme with the variational Monte Carlo method we can optimize the short- and long-range properties of the groundstate separately. This allows us to measure the long-range order of the groundstate of the…

Condensed Matter · Physics 2016-08-31 Elmar S. Heeb , T. Maurice Rice

How superconductivity emerges in the vicinity of an antiferromagnetic insulating state is a long-standing issue of strong correlation physics. We study the transition from an antiferromagnetic insulator to a superconductor by hole-doping…

Strongly Correlated Electrons · Physics 2022-08-16 Tianxing Ma , Da Wang , Congjun Wu

We present a nonperturbative method for deriving a quasiparticle description of the low-energy excitations in the t-J model for strongly correlated electrons. Using the exact diagonalization technique we evaluated exactly the spectral…

Condensed Matter · Physics 2009-10-22 R. Eder , Y. Ohta