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Title: Power-law liquid in cuprate superconductors from fermionic unparticles

Abstract

Recent photoemission spectroscopy measurements on cuprate superconductors have inferred that over a wide range of doping, the imaginary part of the electron self-energy scales as Σ" ~ (ω2 + π2T2)a with a = 1 in the overdoped Fermi-liquid state and a < 0.5 in the optimal to underdoped regime. Here, we show that this non-Fermi-liquid scaling behavior can naturally be explained by the presence of a scale-invariant state of matter known as unparticles. We evaluate analytically the electron self-energy due to interactions with fermionic unparticles. We find that, in agreement with experiments, the imaginary part of the self-energy scales with respect to temperature and energy as Σ" ~ T2 + 2α and ω2 + 2α, where α is the anomalous dimension of the unparticle propagator. In addition, the calculated occupancy and susceptibility of fermionic unparticles, unlike those of normal fermions, have significant spectral weights even at high energies. This unconventional behavior is attributed to the branch cut in the unparticle propagator which broadens the unparticle spectral function over a wide energy range and nontrivially alters the scattering phase space by enhancing (suppressing) the intrinsic susceptibility at low energies for negative (positive) α. Our work presents evidence suggesting that unparticles mightmore » be important low-energy degrees of freedom in strongly coupled systems such as the cuprate superconductors.« less

Authors:
 [1];  [1];  [1];  [1]
  1. Univ. of Illinois at Urbana-Champaign, IL (United States)
Publication Date:
Research Org.:
Energy Frontier Research Centers (EFRC) (United States). Center for Emergent Superconductivity (CES)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES); National Science Foundation (NSF); Agency of Science, Technology and Research; Ministry of Science and Technology
OSTI Identifier:
1470010
Alternate Identifier(s):
OSTI ID: 1406392
Grant/Contract Number:  
AC02-98CH10886; AC0298CH1088
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 96; Journal Issue: 20; Related Information: CES partners with Brookhaven National Laboratory (BNL); Argonne National Laboratory; University of Illinois, Urbana-Champaign; Los Alamos National Laboratory; 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, Setty, Chandan, Limtragool, Kridsanaphong, and Phillips, Philip W. Power-law liquid in cuprate superconductors from fermionic unparticles. United States: N. p., 2017. Web. doi:10.1103/physrevb.96.205101.
Leong, Zhidong, Setty, Chandan, Limtragool, Kridsanaphong, & Phillips, Philip W. Power-law liquid in cuprate superconductors from fermionic unparticles. United States. https://doi.org/10.1103/physrevb.96.205101
Leong, Zhidong, Setty, Chandan, Limtragool, Kridsanaphong, and Phillips, Philip W. 2017. "Power-law liquid in cuprate superconductors from fermionic unparticles". United States. https://doi.org/10.1103/physrevb.96.205101. https://www.osti.gov/servlets/purl/1470010.
@article{osti_1470010,
title = {Power-law liquid in cuprate superconductors from fermionic unparticles},
author = {Leong, Zhidong and Setty, Chandan and Limtragool, Kridsanaphong and Phillips, Philip W.},
abstractNote = {Recent photoemission spectroscopy measurements on cuprate superconductors have inferred that over a wide range of doping, the imaginary part of the electron self-energy scales as Σ" ~ (ω2 + π2T2)a with a = 1 in the overdoped Fermi-liquid state and a < 0.5 in the optimal to underdoped regime. Here, we show that this non-Fermi-liquid scaling behavior can naturally be explained by the presence of a scale-invariant state of matter known as unparticles. We evaluate analytically the electron self-energy due to interactions with fermionic unparticles. We find that, in agreement with experiments, the imaginary part of the self-energy scales with respect to temperature and energy as Σ" ~ T2 + 2α and ω2 + 2α, where α is the anomalous dimension of the unparticle propagator. In addition, the calculated occupancy and susceptibility of fermionic unparticles, unlike those of normal fermions, have significant spectral weights even at high energies. This unconventional behavior is attributed to the branch cut in the unparticle propagator which broadens the unparticle spectral function over a wide energy range and nontrivially alters the scattering phase space by enhancing (suppressing) the intrinsic susceptibility at low energies for negative (positive) α. Our work presents evidence suggesting that unparticles might be important low-energy degrees of freedom in strongly coupled systems such as the cuprate superconductors.},
doi = {10.1103/physrevb.96.205101},
url = {https://www.osti.gov/biblio/1470010}, journal = {Physical Review B},
issn = {2469-9950},
number = 20,
volume = 96,
place = {United States},
year = {2017},
month = {11}
}

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Works referenced in this record:

Unparticle as a Field with Continuously Distributed mass
journal, November 2007


Deconstruction of unparticles
journal, August 2007


Photoemission “experiments” on holographic superconductors
journal, March 2010


Soft Fermi Surfaces and Breakdown of Fermi-Liquid Behavior
journal, August 2003


Hidden Fermi Liquid: Self-Consistent Theory for the Normal State of High- T c Superconductors
journal, February 2011


Unparticle mediated superconductivity
journal, March 2015


Absence of Luttinger’s Theorem due to Zeros in the Single-Particle Green Function
journal, February 2013


Strange Metal Transport Realized by Gauge/Gravity Duality
journal, August 2010


Geodesically complete metrics and boundary non-locality in holography: Consequences for the entanglement entropy
journal, December 2016


Some phenomenologies of unparticle physics
journal, January 2008


Renormalization-group approach to interacting fermions
journal, January 1994


Nested-Fermi-liquid theory
journal, September 1990


Non-Fermi liquid due to orbital fluctuations in iron pnictide superconductors
journal, December 2012


Unparticles and anomalous dimensions in the cuprates
journal, March 2016


Quantum Theory of the Electron Liquid
book, August 2012


Phenomenology of the normal state of Cu-O high-temperature superconductors
journal, October 1989


Non-Fermi-liquid behavior of large- N B quantum critical metals
journal, April 2014


Realizing infrared power-law liquids in the cuprates from unparticle interactions
journal, December 2016


Unparticle realization through continuous mass scale invariant theories
journal, September 2008


Spectral-weight transfer: Breakdown of low-energy-scale sum rules in correlated systems
journal, August 1993


The AdS/CFT/unparticle correspondence
journal, February 2009


Unparticle Physics
journal, May 2007


Fermionic unparticles, gauge interactions and the β function
journal, April 2009


Critical Fermi surfaces and non-Fermi liquid metals
journal, July 2008


Criterion for stability of Goldstone modes and Fermi liquid behavior in a metal with broken symmetry
journal, October 2014


Power-law optical conductivity from unparticles: Application to the cuprates
journal, October 2015


Un-Fermi liquids: Unparticles in strongly correlated electron matter
journal, September 2013


Susceptibility scaling and vertex corrections for a nested Fermi liquid
journal, January 1999