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Two of the iconic phases of the hole-doped cuprate materials are the intermediate temperature pseudogap metal and the lower temperature $d$-wave superconductor. Following the suggestion of P. W. Anderson, there were early theories of these…

Strongly Correlated Electrons · Physics 2026-05-01 Subir Sachdev

We review a theoretical framework for the cuprate superconductors, rooted in a fractionalized Fermi liquid (FL*) description of the intermediate-temperature pseudogap phase at low doping. The FL* theory predicted hole pockets each of…

Strongly Correlated Electrons · Physics 2026-05-01 Pietro M. Bonetti , Maine Christos , Alexander Nikolaenko , Aavishkar A. Patel , Subir Sachdev

In spatial dimensions d >= 2, Kondo lattice models of conduction and local moment electrons can exhibit a fractionalized, non-magnetic state (FL*) with a Fermi surface of sharp electron-like quasiparticles, enclosing a volume quantized by…

Strongly Correlated Electrons · Physics 2007-05-23 T. Senthil , Subir Sachdev , Matthias Vojta

The pseudogap metal phase of the hole-doped cuprates can be described by small Fermi surfaces of electron-like quasiparticles, which enclose a volume violating the Luttinger relation. This violation requires the existence of additional…

Strongly Correlated Electrons · Physics 2023-11-21 Alexander Nikolaenko , Jonas von Milczewski , Darshan G. Joshi , Subir Sachdev

Insulating quantum spin liquids can undergo a confinement transition to a valence bond solid state via the condensation of topological excitations of the associated gauge theory. We extend the theory of such transitions to fractionalized…

Strongly Correlated Electrons · Physics 2016-04-26 Aavishkar A. Patel , Debanjan Chowdhury , Andrea Allais , Subir Sachdev

The Schwinger-boson theory of the frustrated square lattice antiferromagnet yields a stable, gapped $\mathbb{Z}_2$ spin liquid ground state with time-reversal symmetry, incommensurate spin correlations and long-range Ising-nematic order. We…

Strongly Correlated Electrons · Physics 2016-07-12 Shubhayu Chatterjee , Yang Qi , Subir Sachdev , Julia Steinberg

Recent experiments in the underdoped regime of the hole-doped cuprates have found evidence for an incommensurate charge density wave state. We present an analysis of the charge ordering instabilities in a metal with antiferromagnetic…

Strongly Correlated Electrons · Physics 2014-12-23 Debanjan Chowdhury , Subir Sachdev

The last few years have seen significant experimental progress in characterizing the copper-based hole-doped high temperature superconductors in the regime of low hole density, p. Quantum oscillations, NMR, X-ray, and STM experiments have…

Strongly Correlated Electrons · Physics 2016-08-01 Debanjan Chowdhury , Subir Sachdev

Recent experiments have observed superconductivity proximate to the nu = -2/3 fractional quantum anomalous Hall (FQAH) insulator in twisted MoTe2. A critical open question is whether the underlying normal state is a Fermi liquid with a…

Strongly Correlated Electrons · Physics 2025-12-01 Ya-Hui Zhang

Motivated by the realization of spin-valley Hubbard on triangular moir\'e superlattice in ABC trilayer graphene aligned with hexagon boron nitride (hBN) and possibly also in twisted transition metal dichalcogenide homobilayers, we study…

Strongly Correlated Electrons · Physics 2020-01-22 Ya-Hui Zhang , Dan Mao

A long standing problem in the study of the under-hole-doped cuprates has been the description of the Fermi surfaces underlying the high magnetic field quantum oscillations, and their connection to the higher temperature pseudogap metal.…

Strongly Correlated Electrons · Physics 2025-05-27 Pietro M. Bonetti , Maine Christos , Subir Sachdev

Inspired by the recent discovery of superconductivity in the nickelate Nd$_{1-x}$Sr$_x$NiO$_2$, we study a generalized $t-J$ model to investigate the correlated phases induced by doping spin-one Ni$^{2+}$ into a spin $1/2$ Mott insulator…

Strongly Correlated Electrons · Physics 2021-04-09 Ya-Hui Zhang , Zheng Zhu

The phenomenon of Mott insulation involves the localization of itinerant electrons due to strong local repulsion. Upon doping, a pseudogap (PG) phase emerges - marked by selective gapping of the Fermi surface without conventional symmetry…

Strongly Correlated Electrons · Physics 2026-02-25 Abhirup Mukherjee , S. R. Hassan , Anamitra Mukherjee , N. S. Vidhyadhiraja , A. Taraphder , Siddhartha Lal

The phase diagram of the cuprate superconductors continues to pose formidable scientific challenges. While these materials are typically viewed as doped Mott insulators, it is well known that they are Fermi liquids at high hole-dopant…

Superconductivity · Physics 2017-08-29 N. Barišić , M. K. Chan , M. J. Veit , C. J. Dorow , Y. Ge , Y. Tang , W. Tabis , G. Yu , X. Zhao , M. Greven

Recent experiments in moir\'e materials have observed fractional Chern insulators (FCI) at zero magnetic field, providing an opportunity to study the transition from FCI to the more conventional phases such as Fermi liquid (FL) and…

Strongly Correlated Electrons · Physics 2025-07-31 Ya-Hui Zhang

We establish that a doping-driven first-order metal-to-metal transition, from a pseudogap metal to Fermi Liquid, can occur in correlated quantum materials. Our result is based on the exact Dynamical Mean Field Theory solution of the Dimer…

Strongly Correlated Electrons · Physics 2021-09-15 L. Fratino , S. Bag , A. Camjayi , M. Civelli , M. J. Rozenberg

Electrical and magnetic properties of underdoped cuprates in the spin gap phase, a precursor to high Tc superconducting state, is riddled with puzzles. We propose a novel reference state to study this phase, where each hole dopant adds one…

Strongly Correlated Electrons · Physics 2007-09-07 G. Baskaran

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

We model the underdoped cuprates using fermions moving in a background with local antiferromagnetic order. The antiferromagnetic order fluctuates in orientation, but not in magnitude, so that there is no long-range antiferromagnetism, but a…

Strongly Correlated Electrons · Physics 2011-07-08 Eun Gook Moon , Subir Sachdev

The competition between antiferromagnetism and hole motion in two-dimensional Mott insulators lies at the heart of a doping-dependent transition from an anomalous metal to a conventional Fermi liquid. Condensed matter experiments suggest…

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