Ladder physics in the spin fermion model

Tsvelik, A. M.

doi:10.1103/physrevb.95.201112

Cited by 26 publications

(42 citation statements)

References 22 publications

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“…Our observations are thus of interest for understanding the physics of high-T c superconductivity in cuprate materials, which is believed to be captured by the Hubbard model. Our findings support the idea of a pairing interaction mediated by correlated antiferromagnetic spin fluctuations, as characteristic of the lower dimensional LE phase [47,48]. It must be stressed that the nature of such phase changes when passing from the attractive to the repulsive case discussed here.…”

Section: Discussionsupporting

confidence: 87%

Superconductivity in the Hubbard model: a hidden-order diagnostics from the Luther-Emery phase on ladders

2019

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Short-range antiferromagnetic correlations are known to open a spin gap in the repulsive Hubbard model on ladders with M legs, when M is even. We show that the spin gap originates from the formation of correlated pairs of electrons with opposite spin, captured by the hidden ordering of a spin-parity operator. Since both spin gap and parity vanish in the two-dimensional limit, we introduce the fractional generalization of spin parity and prove that it remains finite in the thermodynamic limit. Our results are based upon variational wave functions and Monte Carlo calculations: performing a finite size-scaling analysis with growing M , we show that the doping region where the parity is finite coincides with the range in which superconductivity is observed in two spatial dimensions. Our observations support the idea that superconductivity emerges out of spin gapped phases on ladders, driven by a spin-pairing mechanism, in which the ordering is conveniently captured by the finiteness of the fractional spin-parity operator.

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Section: Discussionsupporting

confidence: 87%

Superconductivity in the Hubbard model: a hidden-order diagnostics from the Luther-Emery phase on ladders

2019

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“…This was explicitly demonstrated in Ref. 15, so providing a mapping that unifies these two arXiv:1811.01103v2 [cond-mat.str-el] 7 Jan 2019 well-known approaches to the anomalous phases of the cuprates. Within this picture, the excitation gap of the d-Mott phase relates to the pseudogap and the cooperon excitations of the ladder play the role of preformed pairs.…”

Section: Introductionmentioning

confidence: 77%

“…The formal link between the physics of the hot spots in the spin-fermion model and half-filled, two leg ladders is provided by recent work of one of the authors. 15 We remind the reader of the basic ideas of this approach here. The spin-fermion model 8 describes electrons interacting with soft spin excitations (paramagnons) that emerge in the vicinity of an antiferromagnetic quantum critical point.…”

Section: Ladder Physics In the Spin-fermion Modelmentioning

confidence: 99%

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Ladderlike optical conductivity in the spin-fermion model

2019

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In the nested limit of the spin-fermion model for the cuprates, one-dimensional physics in the form of half-filled two-leg ladders emerges. We show that the renormalization group flow of the corresponding ladder is towards the d-Mott phase, a gapped spin-liquid with short-ranged d-wave pairing correlations, and reveals an intermediate SO(5)×SO(3) symmetry. We use the results of the renormalization group in combination with a memory-function approach to calculate the optical conductivity of the spin-fermion model in the high-frequency regime, where processes within the hot spot region dominate the transport. We argue that umklapp processes play a major role. For finite temperatures, we determine the resistivity in the zero-frequency (dc) limit. Our results show an approximate linear temperature dependence of the resistivity and a conductivity that follows a non-universal power law. A comparison to experimental data supports our assumption that the conductivity is dominated by the antinodal contribution above the pseudogap.

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“…In the SDW quantum critical scenario, the underlying mechanism for the formation of Cooper pairs in the superconducting phase of these compounds is rooted in the exchange of antiferromagnetic short-range SDW fluctuations 20 , which are enhanced close to the quantum critical point 10 . On the theoretical side, many works have described several aspects of the properties of the Abanov-Chubukov spin-fermion model using various complementary analytical 10,15,19,[21][22][23][24][25][26] and numerical 27 techniques. In this respect, it is now clear that the quasiparticle excitations are destroyed at the socalled hot spots (i.e., the intersection of the underlying Fermi surface with the antiferromagnetic zone boundary) at low energies 19,27 .…”

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confidence: 99%

Calculation of the magnetotransport for a spin-density-wave quantum critical theory in the presence of weak disorder

Freire¹

2017

EPL

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We compute the Hall angle and the magnetoresistance of the spin-fermion model, which is a successful phenomenological theory to describe the physics of the cuprates and iron-based superconductors within a wide range of doping regimes. We investigate both the role of the spin-fermion interaction that couples the large-momentum antiferromagnetic fluctuations to the so-called "hotspots" at the Fermi surface and also of an effective higher-order composite operator in the theory. The latter operator provides a scattering mechanism such that the momentum transfer for the fermions close to the Fermi surface can be small. We also include weak disorder that couples to both the bosonic order-parameter field and the fermionic degrees of freedom. Since the quasiparticle excitations were shown in recent works to be destroyed at the "hot-spots" in the low-energy limit of the model, we employ the Mori-Zwanzig memory-matrix approach that permits the evaluation of all transport coefficients without assuming well-defined Landau quasiparticles in the system. We then apply this transport theory to discuss universal metallic-state properties as a function of temperature and magnetic field of the cuprates from the perspective of their fermiology, which turn out to be in qualitative agreement with key experiments in those materials.

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Ladder physics in the spin fermion model

Cited by 26 publications

References 22 publications

Superconductivity in the Hubbard model: a hidden-order diagnostics from the Luther-Emery phase on ladders

Superconductivity in the Hubbard model: a hidden-order diagnostics from the Luther-Emery phase on ladders

Ladderlike optical conductivity in the spin-fermion model

Calculation of the magnetotransport for a spin-density-wave quantum critical theory in the presence of weak disorder

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