It is widely believed that the t-J model contains some of the key physics of the high-temperature superconductors. It was proposed that the low-energy physics of the t-J model can be described by a gauge theory of fermions and bosons coupled to a gauge field. The normal state of these fermions was assumed to be a Fermi liquid. We show that perturbation theory around the Fermi-liquid state breaks down at low temperature in a wide class of gauge theories of high-temperature superconductors due to the interaction with an overdamped singular mode arising from the gauge field. This breakdown is present even if the coupling to the gauge field is arbitrary small.It is widely believed that the t-J model contains some of the key physics of the high-temperature superconductors. It was proposed that the low-energy physics of the t-J model can be described by a gauge theory of fermions and bosons coupled to a gauge field. The normal state of these fermions was assumed to be a Fermi liquid. We show that perturbation theory around the Fermi-liquid state breaks down at low temperature in a wide class of gauge theories of high-temperature superconductors due to the interaction with an overdamped singular mode arising from the gauge field. This breakdown is present even if the coupling to the gauge field is arbitrary small.

Physical review. B, Condensed matterFeb 1, 199348 citations

Theory of critical phenomena in superconductors : quantum field theoretical approach

一高山

Jan 1, 19720 citations

Recent Numerical Studies on Models for High-Tc Superconductors

Masatoshi Imada

Springer series in materials scienceJan 1, 19890 citations

Quantum dynamical manifolds. 4. High-temperature superconductors

THOMAS C. COLLINS, D. F. Scofield

A self-consistent, non-Abelian gauge theory is developed for high-temperature superconductors (HTSCs). As a physical example, a spontaneously broken (SO(4)⊃SO(3)×U(1))×3 gauge theory is described that includes excitonic and antiferromagnetic boson exchange pairing forces for the interacting superconducting and antiferromagnetic phases of the soft superconductor YBa2Cu3O7−x. A new differential geometric approach for generating quantum dynamical manifolds, called quantum dynamical manifold theory (QDMT) is used to compute the quantum geometry of these systems. It is shown how geometric conditions applied to the quasi-particle system can be used to determine self-consistent, self-gauge fields (SC-SGFs) and fix the coupling constants to reduce the calculational number of degrees of freedom of such many-body systems. The resulting theory is formulated in a way that real crystal quasi-particle basis sets are used. This work raises the hope that ab initio property calculation and systematic exploration of different mechanisms for HTSCs will become possible. © 2000 John Wiley & Sons, Inc. Int J Quant Chem 80: 341–368, 2000A self-consistent, non-Abelian gauge theory is developed for high-temperature superconductors (HTSCs). As a physical example, a spontaneously broken (SO(4)⊃SO(3)×U(1))×3 gauge theory is described that includes excitonic and antiferromagnetic boson exchange pairing forces for the interacting superconducting and antiferromagnetic phases of the soft superconductor YBa2Cu3O7−x. A new differential geometric approach for generating quantum dynamical manifolds, called quantum dynamical manifold theory (QDMT) is used to compute the quantum geometry of these systems. It is shown how geometric conditions applied to the quasi-particle system can be used to determine self-consistent, self-gauge fields (SC-SGFs) and fix the coupling constants to reduce the calculational number of degrees of freedom of such many-body systems. The resulting theory is formulated in a way that real crystal quasi-particle basis sets are used. This work raises the hope that ab initio property calculation and systematic exploration of different mechanisms for HTSCs will become possible. © 2000 John Wiley & Sons, Inc. Int J Quant Chem 80: 341–368, 2000

International Journal of Quantum ChemistryJan 1, 20003 citations

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

Walter Rantner, Xiao-Gang Wen

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 correlation in the ASL is calculated via its effective theory---a system of massless Dirac fermions coupled to a U(1) gauge field. We find that without fine-tuning any parameters the gauge interaction strongly enhances the staggered spin correlation even in the presence of a large single-particle pseudogap. This allows us to show that the ASL plus spin-charge recombination picture can explain many highly unusual properties of underdoped high- ${T}_{c}$ superconductors.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 correlation in the ASL is calculated via its effective theory---a system of massless Dirac fermions coupled to a U(1) gauge field. We find that without fine-tuning any parameters the gauge interaction strongly enhances the staggered spin correlation even in the presence of a large single-particle pseudogap. This allows us to show that the ASL plus spin-charge recombination picture can explain many highly unusual properties of underdoped high-${T}_{c}$ superconductors.

arXiv:cond-mat/0201521Physical review. B, Condensed matterOct 9, 2002175 citations

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 correlation in the ASL is calculated via its effective theory---a system of massless Dirac fermions coupled to a U(1) gauge field. We find that without fine-tuning any parameters the gauge interaction strongly enhances the staggered spin correlation even in the presence of a large single-particle pseudogap. This allows us to show that the ASL plus spin-charge recombination picture can explain many highly unusual properties of underdoped high-

{T}_{c}

superconductors.