Planckian relaxation delusion in metals

M.V. Sadovskii
Institute of Electrophysics, Ural Branch of the Russian Academy of Sciences, ul. Amundsena 106, Ekaterinburg, 620016, Russian Federation

We present a critical review of recent attempts to introduce a new quantum ('Planckian') limit for the temperature dependence of the inelastic scattering rate of electrons in metals. We briefly discuss the main experimental facts and some simple theoretical models explaining the linear-in-temperature growth of resistivity (starting from very low temperatures) in superconducting cuprates and some similar systems. There is no commonly accepted theoretical explanation for such behavior up to now. We also discuss the known quantum limits for electrical conductivity (resistance). It is shown that the universal Planckian limit for the inelastic relaxation rate proposed in some papers is a kind of delusion related to a certain procedure to represent the experimental data.

Keywords: resistivity of metals, relaxation time, effective mass, quantum fluctuations, high-temperature superconductors
PACS: 72.10.Di, 72.15.Cz, 72.15.Lh (all)
DOI: 10.3367/UFNe.2020.08.038821
URL: https://ufn.ru/en/articles/2021/2/d/
Web of Science

000644699500004
Scopus

2-s2.0-85105406792
ADS NASA

2021PhyU...64..175S
Citation: Sadovskii M V "Planckian relaxation delusion in metals" Phys. Usp. 64 175–190 (2021)

BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Received: 5th, August 2020, accepted: 19th, August 2020

Оригинал: Садовский М В «Иллюзия планковской релаксации в металлах» УФН 191 182–198 (2021); DOI: 10.3367/UFNr.2020.08.038821

References (60) Cited by (15) Similar articles (20) ↓

L.P. Gor’kov, N.B. Kopnin “High-T_c superconductors from the experimental point of view” Sov. Phys. Usp. 31 850–860 (1988)
G.I. Kanel, E.B. Zaretsky et al “Unusual plasticity and strength of metals at ultra-short load durations” Phys. Usp. 60 490–508 (2017)
V.T. Dolgopolov “Quantum melting of a two-dimensional Wigner crystal” Phys. Usp. 60 731–742 (2017)
M.I. Eremets, A.P. Drozdov “High-temperature conventional superconductivity” Phys. Usp. 59 1154–1160 (2016)
L.B. Okun’ “Tests of electric charge conservation and the Pauli principle” Sov. Phys. Usp. 32 543–547 (1989)
A.Ya. Belen’kii “Electronic surface states of crystals” Sov. Phys. Usp. 24 412–425 (1981)
I.M. Dremin “The interaction region of high energy protons” Phys. Usp. 58 61–70 (2015)
A.V. Nedospasov “Gas rotation in discharges in a longitudinal magnetic field” Phys. Usp. 58 574–578 (2015)
H. Walther “One-atom maser and other experiments on cavity quantum electrodynamics” Phys. Usp. 39 727–743 (1996)
A.M. Zheltikov “In search of lost time: attosecond physics, petahertz optoelectronics, and quantum speed limit” Phys. Usp. 64 370–385 (2021)
A.L. Buchachenko “Microwave stimulation of dislocations and the magnetic control of the earthquake core” Phys. Usp. 62 46–53 (2019)
G.S. Golitsyn “Galaxy clusters, similarity parameters and ratios between measurable characteristics” Phys. Usp. 58 1206–1214 (2015)
S.G. Karshenboim “Progress in the accuracy of the fundamental physical constants: 2010 CODATA recommended values” Phys. Usp. 56 883–909 (2013)
L.D. Faddeev “New life of complete integrability” Phys. Usp. 56 465–472 (2013)
A. Bettini “Physics beyond the Standard Model: experiments at the Gran Sasso Laboratory” Phys. Usp. 44 931–954 (2001)
K.N. Mukhin, V.N. Tikhonov “Old and new exotic phenomena in the world of elementary particles” Phys. Usp. 44 1141–1188 (2001)
G. Veneziano “An evolving look at Pomeranchuk scattering” Phys. Usp. 43 177–180 (2000)
V.N. Tsytovich “Dust plasma crystals, drops, and clouds” Phys. Usp. 40 53–94 (1997)
Yu.A. Mostovoi, K.N. Mukhin, O.O. Patarakin “The neutron yesterday, today, and tomorrow” Phys. Usp. 39 925–958 (1996)
A.A. Lushnikov, A.E. Negin et al “Aerogel structures in a gas” Sov. Phys. Usp. 34 (2) 160–166 (1991)

The list is formed automatically.