Square Fermi surface model for conduction in linear chain mercury compounds: Hg3-δAsF6

M. Kaveh; E. Ehrenfreund

doi:10.1016/0038-1098(79)90771-3

Square Fermi surface model for conduction in linear chain mercury compounds: Hg_3-δAsF₆

M. Kaveh
, E. Ehrenfreund

Department of Physics - at Bar-Ilan University

Technion-Israel Institute of Technology

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

Abstract

The unusual temperature dependence of the electrical resistivity of Hg_3-δAsF₆ (δ = 0.18-0.22) is discussed in the framework of a nearly square Fermi surface model. This model predicts a T³ dependence of the resistivity, in close agreement with the recently observed T^2.8 dependence.

Original language	English
Pages (from-to)	709-712
Number of pages	4
Journal	Solid State Communications
Volume	31
Issue number	10
DOIs	https://doi.org/10.1016/0038-1098(79)90771-3
State	Published - Sep 1979

Bibliographical note

Funding Information:
THE COMPOUND Hg3-6 AsF6 (with 8 = 0.18-0.22) has recently been the subject of considerable experimental interest \[1-4\].T his compound consists \[4-6\] of metallic chains of mercury ions embedded in a matrix of octahedral AsF6-ions from a tetragonal lattice (see Fig. 1) with a = b = 7.54A, within which there are arrays of non-intersecting mercury chains parallel to the axis or the b axis. However, there are no chains parallel to the ~ axis. Recently, it was found \[I, 5\] that the electrical conductivity of Hg3-6AsF6 possesses striking anisotropic properties. The conductivity in the a-b plane appears to be isotropic, whereas the conductivity in the c direction is two orders of magnitude smaller at room temperatures. The a-b plane conductivity remains metallic down to the lowest measured temperatures (~ 1 K) and provides an opportunity for theoretical studies of low-dimensional metallic systems at helium temperatures. The a-b plane resistivity shows several unique features \[1,2, 7, 8\]. At low temperatures, Pab ~x T 2.8 without any indication \[8, 9\] of residual resistivity even at temperatures as low \[1\ ] as 1.2 K. By contrast, for pure mercury metal one does find \[10\]t he usual Bloch behaviour pcx T s below 3 K. Furthermore, application of a magnetic field \[1,7\] produces residual resistivity much larger than the temperature.dependent part of the resistivity p(T), which by itself is independent of the applied .magnetic field. At higher temperatures, say T> 5OK, p(T) is found \[1,7, 8\] to be proportional to T 3/2 . In this Note, we concentrate on the temperature * This research was supported by a grant from the United States-Israel Binational Science Foundation (BSF), Jerusalem, Israel.

Funding

THE COMPOUND Hg3-6 AsF6 (with 8 = 0.18-0.22) has recently been the subject of considerable experimental interest \[1-4\].T his compound consists \[4-6\] of metallic chains of mercury ions embedded in a matrix of octahedral AsF6-ions from a tetragonal lattice (see Fig. 1) with a = b = 7.54A, within which there are arrays of non-intersecting mercury chains parallel to the axis or the b axis. However, there are no chains parallel to the ~ axis. Recently, it was found \[I, 5\] that the electrical conductivity of Hg3-6AsF6 possesses striking anisotropic properties. The conductivity in the a-b plane appears to be isotropic, whereas the conductivity in the c direction is two orders of magnitude smaller at room temperatures. The a-b plane conductivity remains metallic down to the lowest measured temperatures (~ 1 K) and provides an opportunity for theoretical studies of low-dimensional metallic systems at helium temperatures. The a-b plane resistivity shows several unique features \[1,2, 7, 8\]. At low temperatures, Pab ~x T 2.8 without any indication \[8, 9\] of residual resistivity even at temperatures as low \[1\ ] as 1.2 K. By contrast, for pure mercury metal one does find \[10\]t he usual Bloch behaviour pcx T s below 3 K. Furthermore, application of a magnetic field \[1,7\] produces residual resistivity much larger than the temperature.dependent part of the resistivity p(T), which by itself is independent of the applied .magnetic field. At higher temperatures, say T> 5OK, p(T) is found \[1,7, 8\] to be proportional to T 3/2 . In this Note, we concentrate on the temperature * This research was supported by a grant from the United States-Israel Binational Science Foundation (BSF), Jerusalem, Israel.

Funders
United States-Israel Binational Science Foundation

Access to Document

10.1016/0038-1098(79)90771-3

Cite this

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title = "Square Fermi surface model for conduction in linear chain mercury compounds: Hg3-δAsF6",

abstract = "The unusual temperature dependence of the electrical resistivity of Hg3-δAsF6 (δ = 0.18-0.22) is discussed in the framework of a nearly square Fermi surface model. This model predicts a T3 dependence of the resistivity, in close agreement with the recently observed T2.8 dependence.",

author = "M. Kaveh and E. Ehrenfreund",

note = "Funding Information: THE COMPOUND Hg3-6 AsF6 (with 8 = 0.18-0.22) has recently been the subject of considerable experimental interest \textbackslash{}[1-4\textbackslash{}].T his compound consists \textbackslash{}[4-6\textbackslash{}] of metallic chains of mercury ions embedded in a matrix of octahedral AsF6-ions from a tetragonal lattice (see Fig. 1) with a = b = 7.54A, within which there are arrays of non-intersecting mercury chains parallel to the axis or the b axis. However, there are no chains parallel to the \textasciitilde{} axis. Recently, it was found \textbackslash{}[I, 5\textbackslash{}] that the electrical conductivity of Hg3-6AsF6 possesses striking anisotropic properties. The conductivity in the a-b plane appears to be isotropic, whereas the conductivity in the c direction is two orders of magnitude smaller at room temperatures. The a-b plane conductivity remains metallic down to the lowest measured temperatures (\textasciitilde{} 1 K) and provides an opportunity for theoretical studies of low-dimensional metallic systems at helium temperatures. The a-b plane resistivity shows several unique features \textbackslash{}[1,2, 7, 8\textbackslash{}]. At low temperatures, Pab \textasciitilde{}x T 2.8 without any indication \textbackslash{}[8, 9\textbackslash{}] of residual resistivity even at temperatures as low \textbackslash{}[1\textbackslash{} ] as 1.2 K. By contrast, for pure mercury metal one does find \textbackslash{}[10\textbackslash{}]t he usual Bloch behaviour pcx T s below 3 K. Furthermore, application of a magnetic field \textbackslash{}[1,7\textbackslash{}] produces residual resistivity much larger than the temperature.dependent part of the resistivity p(T), which by itself is independent of the applied .magnetic field. At higher temperatures, say T> 5OK, p(T) is found \textbackslash{}[1,7, 8\textbackslash{}] to be proportional to T 3/2 . In this Note, we concentrate on the temperature * This research was supported by a grant from the United States-Israel Binational Science Foundation (BSF), Jerusalem, Israel.",

year = "1979",

month = sep,

doi = "10.1016/0038-1098(79)90771-3",

language = "אנגלית",

volume = "31",

pages = "709--712",

journal = "Solid State Communications",

issn = "0038-1098",

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T1 - Square Fermi surface model for conduction in linear chain mercury compounds

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AU - Kaveh, M.

AU - Ehrenfreund, E.

N1 - Funding Information: THE COMPOUND Hg3-6 AsF6 (with 8 = 0.18-0.22) has recently been the subject of considerable experimental interest \[1-4\].T his compound consists \[4-6\] of metallic chains of mercury ions embedded in a matrix of octahedral AsF6-ions from a tetragonal lattice (see Fig. 1) with a = b = 7.54A, within which there are arrays of non-intersecting mercury chains parallel to the axis or the b axis. However, there are no chains parallel to the ~ axis. Recently, it was found \[I, 5\] that the electrical conductivity of Hg3-6AsF6 possesses striking anisotropic properties. The conductivity in the a-b plane appears to be isotropic, whereas the conductivity in the c direction is two orders of magnitude smaller at room temperatures. The a-b plane conductivity remains metallic down to the lowest measured temperatures (~ 1 K) and provides an opportunity for theoretical studies of low-dimensional metallic systems at helium temperatures. The a-b plane resistivity shows several unique features \[1,2, 7, 8\]. At low temperatures, Pab ~x T 2.8 without any indication \[8, 9\] of residual resistivity even at temperatures as low \[1\ ] as 1.2 K. By contrast, for pure mercury metal one does find \[10\]t he usual Bloch behaviour pcx T s below 3 K. Furthermore, application of a magnetic field \[1,7\] produces residual resistivity much larger than the temperature.dependent part of the resistivity p(T), which by itself is independent of the applied .magnetic field. At higher temperatures, say T> 5OK, p(T) is found \[1,7, 8\] to be proportional to T 3/2 . In this Note, we concentrate on the temperature * This research was supported by a grant from the United States-Israel Binational Science Foundation (BSF), Jerusalem, Israel.

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N2 - The unusual temperature dependence of the electrical resistivity of Hg3-δAsF6 (δ = 0.18-0.22) is discussed in the framework of a nearly square Fermi surface model. This model predicts a T3 dependence of the resistivity, in close agreement with the recently observed T2.8 dependence.

AB - The unusual temperature dependence of the electrical resistivity of Hg3-δAsF6 (δ = 0.18-0.22) is discussed in the framework of a nearly square Fermi surface model. This model predicts a T3 dependence of the resistivity, in close agreement with the recently observed T2.8 dependence.

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