Interacting electrons on a fluctuating string

Orgad, Dror

doi:10.1103/physrevb.69.205104

Cited by 2 publications

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Concepts in High Temperature Superconductivity

Carlson¹,

et al.

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It is the purpose of this paper to explore the theory of high temperature superconductivity. Much of the motivation for this comes from the study of cuprate high temperature superconductors. However, we do not focus in great detail on the remarkable and exciting physics that has been discovered in these materials. Rather, we focus on the core theoretical issues associated with the mechanism of high temperature superconductivity. Although our discussions of theoretical issues in a strongly correlated superconductor are intended to be self contained and pedagogically complete, our discussions of experiments in the cuprates are, unfortunately, considerably more truncated and impressionistic.Our primary focus is on physics at intermediate temperature scales of order T c (as well as the somewhat larger "pseudogap" temperature) and energies of order the gap maximum, ∆ 0 . Consequently (and reluctantly) we have omitted any detailed discussion of a number of fascinating topics in cuprate superconductivity, including the low energy physics associated with nodal quasiparticles, the properties of the vortex matter which results from the application of a magnetic field, the effects of disorder, and a host of material specific issues. This paper is long enough as it is! 13.3 Our view of the phase diagram-Reprise 13.3.1 Pseudogap scales 13.3.1 Dimensional crossovers 13.3.2 The cuprates as quasi-1D superconductors 13.3.3 Inherent competition 13.4 Some open questions 13.4.1 Are stripes universal in the cuprate superconductors? 13.4.2 Are stripes an unimportant low temperature complication? 13.4.3 Are the length and time scales reasonable? 13.4.4 Are stripes conducting or insulating? 13.4.5 Are stripes good or bad for superconductivity? 13.4.6 Do stripes produce pairing? 13.4.7 Do stripes really make the electronic structure quasi-1D? 13.4.8 What about overdoping? 13.4.9 How large is the regime of substantial fluctuation superconductivity? 13.4.10 What about phonons? 13.4.11 What are the effects of quenched disorder? List of Symbols 6 Quasi-1D Physics in a Dynamical Stripe Array As mentioned before, in the simplest microscopic realizations of the 1DEG Competition between CDW and SS is key in quasi-1D systems.with repulsive interactions, 0 < K c < 1 and hence the CDW susceptibility is the most divergent as T → 0 (See Eq. (32).) This seemingly implies that the typical fate of a quasi-one dimensional system with a spin gap is to wind up a CDW insulator in which CDW modulations on neighboring chains phase

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Concepts in High Temperature Superconductivity

Carlson¹,

et al.

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Disorder effects in fluctuating one-dimensional interacting systems

2006

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The zero-temperature localization of interacting electrons coupled to a two-dimensional quenched random potential, and constrained to move on a fluctuating one-dimensional string embedded in the disordered plane, is studied using a perturbative renormalization group approach. In the reference frame of the electrons the impurities are dynamical and their localizing effect is expected to decrease. We consider several models for the string dynamics and find that while the extent of the delocalized regime indeed grows with the degree of string fluctuations, the critical interaction strength, which determines the localization-delocalization transition for infinitesimal disorder, does not change unless the fluctuations are softer than those of a simple elastic string.

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Interacting electrons on a fluctuating string

Cited by 2 publications

References 50 publications

Concepts in High Temperature Superconductivity

Concepts in High Temperature Superconductivity

Disorder effects in fluctuating one-dimensional interacting systems

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