# Mean-field theory of spin-liquid states with finite energy gap and topological orders.

@article{Wen1991MeanfieldTO, title={Mean-field theory of spin-liquid states with finite energy gap and topological orders.}, author={Wen}, journal={Physical review. B, Condensed matter}, year={1991}, volume={44 6}, pages={ 2664-2672 } }

The mean-field theory of a T- and P-symmetric spin-liquid state is developed. The quasiparticle excitations in the spin-liquid state are shown to be spin-1/2 neutral fermions (the spinons) and charge e spinless bosons (the holons). The spin-liquid state is shown to be characterized by a nontrivial topological order. Although our discussions are based on the mean-field theory, the concept of the topological order and the associated universal properties (e.g., the quantum number of the… Expand

#### Topics from this paper

#### 302 Citations

Quantum spin liquid near Mott transition with fermionized π-vortices

- Physics
- 2011

Abstract
In this paper, we study the non-magnetic insulator state near Mott transition of 2D π-flux Hubbard model on square lattice and find that such non-magnetic insulator state is quantum spin… Expand

Topological Spin Liquid with Symmetry-Protected Edge States

- Physics
- 2017

Topological spin liquids are robust quantum states of matter with long-range entanglement and possess many exotic properties such as the fractional statistics of the elementary excitations. Yet these… Expand

Spin-liquid phase in a spin-1/2 quantum magnet on the kagome lattice.

- Physics, Medicine
- Physical review letters
- 2006

These results, together with the equivalence between hard-core bosons and S=1/2 spins, provide compelling evidence for a spin-liquid phase in an easy-axis spin-1/ 2 model with no special conservation laws. 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

Absence of U(1) spin liquids in two dimensions

- Physics
- 2003

Many popular models of fractionalized spin liquids contain neutral fermionic spinon excitations on a Fermi surface, carrying unit charges under a compact U(1) gauge force. We argue that instanton… Expand

Quantum Phase Transitions in d-wave Superconductors and Antiferromagnetic Kagome Lattices

- Physics
- 2011

Strongly correlated systems are of interest due to their exotic collective behavior. In this thesis we study low energy effective theory and quantum phase transitions of d-wave superconductors and… Expand

Intertwining Topological Order and Broken Symmetry in a Theory of Fluctuating Spin-Density Waves.

- Physics, Medicine
- Physical review letters
- 2017

A SU(2) gauge theory of quantum fluctuations of magnetically ordered states which appear in a classical theory of square lattice antiferromagnets, in a spin-density wave mean field theory of thesquare lattice Hubbard model, and in a CP^{1} theory of spinons is presented. Expand

Field Theories of Condensed Matter Physics

- Physics
- 2010

1. Introduction 2. The Hubbard model 3. The magnetic instability of the Fermi system 4. The renormalization group and scaling 5. One-dimensional quantum antiferromagnets 6. The Luttinger liquid 7.… Expand

Characterization of quantum spin liquids and their spinon band structures via functional renormalization

- Physics
- Physical Review B
- 2019

We combine the pseudofermion functional renormalization group (PFFRG) method with a self-consistent Fock-like mean-field scheme to calculate low-energy effective theories for emergent spinon… Expand

A class of P,T-invariant topological phases of interacting electrons

- Physics
- 2004

Abstract We describe a class of parity- and time-reversal-invariant topological states of matter which can arise in correlated electron systems in 2+1-dimensions. These states are characterized by… Expand

#### References

SHOWING 1-3 OF 3 REFERENCES

Phys

- Rev. B38,

Phys

- Rev. B39,

Baskaran also studied some mean field theories which completely break the SU (2) gauge symmetry. G. Baskaran private communication