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Title: Scale invariance as the cause of the superconducting dome in the cuprates

Abstract

Recent photoemission spectroscopy measurements (T. J. Reber et al., arXiv:1509.01611) of cuprate superconductors have inferred that the self-energy exhibits critical scaling over an extended doping regime, thereby calling into question the conventional wisdom that critical scaling exists only at isolated points. In particular, this new state ofmatter, dubbed a power-law liquid, has a self-energy whose imaginary part scales as $$Σ" \sim (ω^2 + π^2T^2)^α$$, with $α = 1$ in the overdoped Fermi-liquid state and $α = 0.5$ in the optimal to underdoped regime. Previously, we showed that this self-energy can arise from interactions between electrons and unparticles, a scale-invariant sector that naturally emerges from strong correlations. Here, taking the self-energy as a given, we first reconstruct the real part of the self-energy. We find that the resultant quasiparticle weight vanishes for any doping level less than optimal, implying an absence of particlelike excitations in the underdoped regime. Consequently, the Fermi velocity vanishes and the effective mass diverges for $$α ≤ \frac{1}{2}$$, in agreement with earlier experimental observations. We then use the self-energy to reconstruct the spectral function and compute the superconducting $$T_c$$ within the BCS formalism. Finally, we find that the $$T_c$$ has a domelike structure, implying that broad scale invariance manifested in the form of a power-law liquid is the likely cause of the superconducting dome in the cuprates.

Authors:
 [1];  [1];  [1];  [1]
  1. Univ. of Illinois, Urbana, IL (United States)
Publication Date:
Research Org.:
Energy Frontier Research Centers (EFRC) (United States). Center for Emergent Superconductivity (CES); Brookhaven National Lab. (BNL), Upton, NY (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)
OSTI Identifier:
1566682
Alternate Identifier(s):
OSTI ID: 1480373
Grant/Contract Number:  
AC02-98CH10886; AC0298CH1088
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 98; Journal Issue: 18; Journal ID: ISSN 2469-9950
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; phonons; thermal conductivity; energy storage (including batteries and capacitors); superconductivity; defects; spin dynamics

Citation Formats

Leong, Zhidong, Limtragool, Kridsanaphong, Setty, Chandan, and Phillips, Philip W. Scale invariance as the cause of the superconducting dome in the cuprates. United States: N. p., 2018. Web. doi:10.1103/physrevb.98.184501.
Leong, Zhidong, Limtragool, Kridsanaphong, Setty, Chandan, & Phillips, Philip W. Scale invariance as the cause of the superconducting dome in the cuprates. United States. doi:10.1103/physrevb.98.184501.
Leong, Zhidong, Limtragool, Kridsanaphong, Setty, Chandan, and Phillips, Philip W. Thu . "Scale invariance as the cause of the superconducting dome in the cuprates". United States. doi:10.1103/physrevb.98.184501. https://www.osti.gov/servlets/purl/1566682.
@article{osti_1566682,
title = {Scale invariance as the cause of the superconducting dome in the cuprates},
author = {Leong, Zhidong and Limtragool, Kridsanaphong and Setty, Chandan and Phillips, Philip W.},
abstractNote = {Recent photoemission spectroscopy measurements (T. J. Reber et al., arXiv:1509.01611) of cuprate superconductors have inferred that the self-energy exhibits critical scaling over an extended doping regime, thereby calling into question the conventional wisdom that critical scaling exists only at isolated points. In particular, this new state ofmatter, dubbed a power-law liquid, has a self-energy whose imaginary part scales as $Σ" \sim (ω^2 + π^2T^2)^α$, with $α = 1$ in the overdoped Fermi-liquid state and $α = 0.5$ in the optimal to underdoped regime. Previously, we showed that this self-energy can arise from interactions between electrons and unparticles, a scale-invariant sector that naturally emerges from strong correlations. Here, taking the self-energy as a given, we first reconstruct the real part of the self-energy. We find that the resultant quasiparticle weight vanishes for any doping level less than optimal, implying an absence of particlelike excitations in the underdoped regime. Consequently, the Fermi velocity vanishes and the effective mass diverges for $α ≤ \frac{1}{2}$, in agreement with earlier experimental observations. We then use the self-energy to reconstruct the spectral function and compute the superconducting $T_c$ within the BCS formalism. Finally, we find that the $T_c$ has a domelike structure, implying that broad scale invariance manifested in the form of a power-law liquid is the likely cause of the superconducting dome in the cuprates.},
doi = {10.1103/physrevb.98.184501},
journal = {Physical Review B},
number = 18,
volume = 98,
place = {United States},
year = {2018},
month = {11}
}

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