# Cuprates as doped U(1) spin liquids

@article{Senthil2005CupratesAD, title={Cuprates as doped U(1) spin liquids}, author={T. Senthil and Patrick A. Lee}, journal={Physical Review B}, year={2005}, volume={71}, pages={174515} }

We explore theoretically the notion that the underdoped cuprates may be viewed as doped $U(1)$ spin liquid Mott insulators. We pursue a conceptually clear version of this idea that naturally incorporates several aspects of the phenomenology of the cuprates. We argue that the low-doping region may be fruitfully discussed in terms of the universal physics associated with a chemical-potential-tuned Mott transition between a $U(1)$ spin liquid insulator and a $d$-wave superconductor. A precise… Expand

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#### References

SHOWING 1-10 OF 26 REFERENCES

Theory of underdoped cuprates.

- Physics, Medicine
- Physical review letters
- 1996

A slave-boson theory for the TSPJ model at finite doping is developed which respects an $\mathrm{SU}(2)$ symmetry\char22{}a symmetry previously known to be important at half filling. Expand

SU(2) formulation of the t−J model: Application to underdoped cuprates

- Physics
- 1998

We develop a slave-boson theory for the $t\ensuremath{-}J$ model at finite doping that respects an SU(2) symmetry: a symmetry previously known to be important at half filling. The mean-field phase… Expand

Theory of spin excitations in undoped and underdoped cuprates

- Physics
- 1999

Abstract We consider the magnetic properties of high T c cuprates from a gauge theory point of view, with emphasis on the underdoped regime. Underdoped cuprates possess certain antiferromagnetic… Expand

Vortex structure in underdoped cuprates

- Physics
- 2001

In underdoped cuprates the normal state is highly anomalous and is characterized as a pseudogap phase. The question of how to describe the {open_quotes}normal{close_quotes} core of a superconducting… Expand

Colloquium: Order and quantum phase transitions in the cuprate superconductors

- Physics
- 2003

It is now widely accepted that the cuprate superconductors are characterized by a long-range order similar to that present in the Bardeen-Cooper-Schrieffer (BCS) theory, that associated with the… Expand

Spin correlations in the algebraic spin liquid: Implications for high-Tc superconductors

- Physics
- 2002

We propose that underdoped high-T c superconductors are described by an algebraic spin liquid (ASL) at high energies, which undergoes a spin-charge recombination transition at low energies. The spin… Expand

The Resonating Valence Bond State in La2CuO4 and Superconductivity

- Chemistry, Medicine
- Science
- 1987

The oxide superconductors, particularly those recently discovered that are based on La2CuO4, have a set of peculiarities that suggest a common, unique mechanism: they tend in every case to occur near… Expand

On the stability of U(1) spin liquids in two dimensions

- Physics
- 2004

We establish that spin liquids described in terms of gapless fermionic (Dirac) spinons and gapless U(1) gauge fluctuations can be stable in two dimensions, at least when the physical SU(2) spin… Expand

Charge Order, Superconductivity, and a Global Phase Diagram of Doped Antiferromagnets

- Physics
- 1999

We investigate the interplay between lattice symmetry breaking and superconducting order in a two-dimensional model of doped antiferromagnets, with long-range Coulomb interactions and… Expand

Vortex-like excitations and the onset of superconducting phase fluctuation in underdoped La2-xSrxCuO4

- Chemistry, Medicine
- Nature
- 2000

Evidence for vortices (or vortex-like excitations) in La2-xSrxCuO4 at temperatures significantly above the critical temperature is reported. Expand