Mutual Chern-Simons effective theory of doped antiferromagnets

Kou, Su-Peng; Qi, Xiao-Liang; Weng, Zheng-Yu

doi:10.1103/physrevb.71.235102

Cited by 47 publications

(74 citation statements)

References 64 publications

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“…This RVB order parameter is different from the RVB order parameter introduced by Anderson and collaborators 1,2 : it involves the charge degrees of freedom through the gauge field, A h ij , and is gauge invariant under (16). Note that b † iσ b jσ nn ≡ 0 in this theory, and ∆ s is the sole order parameter.…”

Section: Construction Of the Ground State In Phase String Represmentioning

confidence: 91%

“…Thus A s ij and A h ij are gauge fields, seen by holons and spinons respectively, as the latter carry their gauge charges according to (15) and (16). But they are not conventional U(1) gauge fields, as they must satisfy the topological constraints: c A s ij = π l∈c n b l↑ − n b l↓ and c A h ij = π l∈c n h l according to (12) and (14), respectively.…”

Section: B the T − J Model In The Phase String Representationmentioning

confidence: 99%

“…Spin degrees of freedom and bosonic RVB order parameter Let us begin by considering the superexchange term H J , which is expressed in terms of an RVB pair operator∆ s ij in (10). Note that∆ s ij is invariant under the gauge transformation (16). It is then natural to define the bosonic RVB order parameter by…”

Section: Construction Of the Ground State In Phase String Represmentioning

confidence: 99%

“…Here the subscript c denotes an arbitrary closed loop such that the fluxes enclosed, c A s ij and c A h ij , are determined by the number of spinons and holons respectively, inside the loop c; viz., A s ij and A h ij are not independent gauge fields with their own dynamics. Rather they are directly connected to matter fields as a pair of mutual Chern-Simons gauge fields 16 . The term "mutual" refers to the fact that A s ij describes quantized π fluxoids attached to spinons, coupled to the holons in H t .…”

Section: B the T − J Model In The Phase String Representationmentioning

confidence: 99%

“…We reemphasize that H s is not a mean field Hamiltonian in the conventional sense. Spinons are coupled to a gauge field A h ij , related to the charge degrees of freedom, and the Hamiltonian is invariant under the internal gauge transformation (16). So H s is still a gauge model, describing low energy, long wavelength spin fluctuations, underpinned by the bosonic RVB order parameter (30).…”

Section: Construction Of the Ground State In Phase String Represmentioning

confidence: 99%

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Bosonic resonating valence bond wave function for doped Mott insulators

2005

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We propose a class of ground states for doped Mott insulators in the electron second quantization representation. They are obtained from a bosonic resonating valence bond (RVB) theory of the t−J model. At half filling, the ground state describes spin correlations of the S=1/2 Heisenberg model very accurately. Its spin degrees of freedom are characterized by RVB pairing of spins, the size of which decreases continuously as holes are doped into the system. Charge degrees of freedom emerge upon doping and are described by twisted holes in the RVB background. We show that the twisted holes exhibit an off diagonal long range order (ODLRO) in the pseudogap ground state, which has a finite pairing amplitude, but is short of phase coherence. Unpaired spins in such a pseudogap ground state behave as free vortices, preventing superconducting phase coherence. The existence of nodal quasiparticles is also ensured by such a hidden ODLRO in the ground state, which is non Fermi liquid-like in the absence of superconducting phase coherence. Two distinct types of spin excitations can also be constructed. The superconducting instability of the pseudogap ground state is discussed and a d-wave superconducting ground state is obtained. This class of pseudogap and superconducting ground states unifies antiferromagnetism, pseudogap, superconductivity, and Mott physics into a new state of matter.

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Section: Construction Of the Ground State In Phase String Represmentioning

confidence: 91%

Section: B the T − J Model In The Phase String Representationmentioning

confidence: 99%

Section: Construction Of the Ground State In Phase String Represmentioning

confidence: 99%

Section: B the T − J Model In The Phase String Representationmentioning

confidence: 99%

Section: Construction Of the Ground State In Phase String Represmentioning

confidence: 99%

See 3 more Smart Citations

Bosonic resonating valence bond wave function for doped Mott insulators

2005

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Mutual Chern-Simons theory and its applications in condensed matter physics

2007

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In this paper, the mutual Chern-Simons (MCS) theory is introduced as a new kind of topological gauge theory in 2+1 dimensions. We use the MCS theory in gapped phase as an effective low energy theory to describe the Z 2 topological order of the Kitaev-Wen model. Our results show that the MCS theory can catch the key properties for the Z 2 topological order. On the other hand, we use the MCS theory as an effective model to deal with the doped Mott insulator. Based on the phase string theory, the t-J model reduces to a MCS theory for spinons and holons. The related physics in high T c cuprates is discussed.

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Mott physics, sign structure, ground state wavefunction, and high-T c superconductivity

Weng¹

2011

Front. Phys.

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In this article I give a pedagogical illustration of why the essential problem of high-Tc superconductivity in the cuprates is about how an antiferromagnetically ordered state can be turned into a short-range state by doping. I will start with half-filling where the antiferromagnetic ground state is accurately described by the Liang-Doucot-Anderson (LDA) wavefunction. Here the effect of the Fermi statistics becomes completely irrelevant due to the no double occupancy constraint. Upon doping, the statistical signs reemerge, albeit much reduced as compared to the original Fermi statistical signs. By precisely incorporating this altered statistical sign structure at finite doping, the LDA ground state can be recast into a short-range antiferromagnetic state. Superconducting phase coherence arises after the spin correlations become short-ranged, and the superconducting phase transition is controlled by spin excitations. I will stress that the pseudogap phenomenon naturally emerges as a crossover between the antiferromagnetic and superconducting phases. As a characteristic of non Fermi liquid, the mutual statistical interaction between the spin and charge degrees of freedom will reach a maximum in a high-temperature "strange metal phase" of the doped Mott insulator.

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Mutual Chern-Simons effective theory of doped antiferromagnets

Cited by 47 publications

References 64 publications

Bosonic resonating valence bond wave function for doped Mott insulators

Bosonic resonating valence bond wave function for doped Mott insulators

Mutual Chern-Simons theory and its applications in condensed matter physics

Mott physics, sign structure, ground state wavefunction, and high-T c superconductivity

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