journal article·2021-02Open access

A study of extended-to-Localized transition of electronic states of fluid mercury around the metal-to-insulator transition region using the framework of multifractal analysis

Kentaro Kobayashi, Takuya Sekikawa, Kenji Maruyama

Abstract

Abstract The metal-to-insulator transition and the presence of the disorder induced localization of electronic orbitals of fluid mercury (f-Hg) were investigated. The electronic structure of f-Hg was simulated by using the ab initio molecular dynamics. To determine the simulation size dependency of the electronic orbital, the electronic orbitals of systems with different number of atoms were investigated. The multifractal measure was used for analyzing the localization of the electronic orbitals and the size dependency of that reversed during the decrease of the density, which suggests there exists the extended-to-localized transition near the metal-to-insulator transition region of f-Hg.
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OpenAlex topics: nanoparticles nucleation surface interactions · Theoretical and Computational Physics · Spectroscopy and Quantum Chemical Studies

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References (54)

Show source-provided references
1. Electrical conductivity and density of a metal vapor
2. Metal-nonmetal transition in dense mercury vapor10.1103/RevModPhys.40.697 ↗
3. Electrical and thermodynamic properties of mercury in the metal–semiconductor transition range10.1080/13642817908246382 ↗
4. Thermodynamic properties of expanded liquid mercury in the metal–nonmetal transition range10.1143/JPSJ.51.966 ↗
5. Critical behaviour of metallic liquids
6. Knight shift in expanded liquid mercury10.1103/PhysRevLett.34.1276 ↗
7. Knight shift and dielectric anomaly in fluid mercury10.1103/PhysRevB.26.5980 ↗
8. Optical absorption coefficient of dense mercury vapor10.1016/0022-3093(90)90977-T ↗
9. Cluster formation in expanded fluid mercury and dilute amalgams near the liquid–gas critical point10.1016/0022-3093(93)90074-8 ↗
10. Critical behaviour in liquid mercury10.1016/S0022-3093(96)00230-X ↗
11. Multiband formulation for the electronic structure of nonsimple disordered metals and its application to expanded mercury10.1016/0038-1098(76)90372-0 ↗
12. Band model for the electronic structure of expanded liquid mercury10.1103/PhysRevB.16.624 ↗
13. Ab initio simulation of the metal/nonmetal transition in expanded fluid mercury10.1103/PhysRevB.55.7539 ↗
14. The electrical properties of liquid mercury10.1080/14786436608213149 ↗
15. Inhomogeneous transport regime in disordered materials10.1103/PhysRevLett.30.699 ↗
16. Conduction regimes in expanded liquid mercury10.1103/PhysRevA.10.978 ↗
17. Percolation approach to the metal-insulator transition in super-critical fluid metals10.1143/JPSJ.39.618 ↗
18. Localization versus band crossing transitions in a multiband model of spatially disordered materials10.1063/1.459677 ↗
19. Quantum interference in liquid metals10.1103/PhysRevB.51.12313 ↗
20. Ab initio molecular dynamics applied to the dynamics of liquid metals and to the metal–non–metal transition10.1016/S0022-3093(96)00314-6 ↗
21. Atomic vibrations in vitreous silica10.1039/df9705000055 ↗
22. Numerical studies of localization in disordered systems10.1088/0022-3719/5/8/007 ↗
23. Expanded fluid mercury in the metal–nonmetal transition range. An ab–initio MD study10.1140/epjst/e2011-01415-2 ↗
24. Static, dynamic and electronic properties of expanded fluid mercury in the metal-nonmetal transition range. An ab initio study
25. Fast sound in expanded fluid Hg accompanying the metal-nonmetal transition10.1103/PhysRevLett.93.097801 ↗
26. Slow-structural relaxation in the metal–nonmetal transition range of liquid mercury: I. Experimental evidence
27. Small angle X-ray scattering measurements for supercritical fluid metals using synchrotron radiation10.1016/S0022-3093(02)01681-2 ↗
28. Medium-range fluctuations accompanying the metal-nonmetal transition in expanded fluid Hg10.1103/PhysRevLett.98.185504 ↗
29. Experimental observation of density fluctuations in liquid metals associated with liquid–liquid, liquid–gas and metal–nonmetal transitions
30. The metal–nonmetal transition in fluid mercury: Landau–Zeldovich revisited
31. Computer simulations of localization and quantum transport in a three-dimensional topologically disordered system10.1103/PhysRevB.38.7292 ↗
32. Fluctuations of the correlation dimension at metal-insulator transitions10.1103/PhysRevLett.88.016401 ↗
33. Distribution of fractal dimensions at the Anderson transition10.1103/PhysRevLett.83.4590 ↗
34. Multifractal analysis of the metal-insulator transition in the three-dimensional anderson model. i. symmetry relation under typical averaging10.1103/PhysRevB.78.195106 ↗
35. Multifractal analysis of the metal-insulator transition in the three-dimensional Anderson model. II. Symmetry relation under ensemble averaging10.1103/PhysRevB.78.195107 ↗
36. Critical parameters from a generalized multifractal analysis at the Anderson transition10.1103/PhysRevLett.105.046403 ↗
37. Multifractality of ab initio wave functions in doped semiconductors10.1016/j.physe.2019.02.020 ↗
38. Scaling theory of localization: absence of quantum diffusion in two dimensions10.1103/PhysRevLett.42.673 ↗
39. Finite size scaling approach to Anderson localization10.1088/0022-3719/14/6/003 ↗
40. One–parameter scaling of localization length and conductance in disordered systems10.1103/PhysRevLett.47.1546 ↗
41. The scaling theory of electrons in disordered solids: additional numerical results10.1007/BF01578242 ↗
42. Critical exponent of the Anderson transition using massively parallel supercomputing10.7566/JPSJ.87.094703 ↗
43. Theory of impurity band conduction in semiconductors: an approach to random lattice problem10.1143/PTP.26.739 ↗
44. Quickstep: fast and accurate density functional calculations using a mixed Gaussian and plane waves approach10.1016/j.cpc.2004.12.014 ↗
45. Generalized gradient approximation made simple10.1103/PhysRevLett.77.3865 ↗
46. Separable dual-space Gaussian pseudopotentials10.1103/PhysRevB.54.1703 ↗
47. Structural and electronic properties of the liquid polyvalent elements. II. The divalent elements10.1103/PhysRevB.42.6926 ↗
48. Structural studies of expanded fluid mercury up to the liquid-vapor critical region10.1103/PhysRevB.58.9030 ↗
49. Nuclear quantum effects in solids using a colored-noise thermostat10.1103/PhysRevLett.103.030603 ↗
50. Langevin equation with colored noise for constant-temperature molecular dynamics simulations10.1103/PhysRevLett.102.020601 ↗
51. Local structure of expanded fluid mercury using synchrotron radiation: from liquid to dense vapor10.1103/PhysRevB.68.094108 ↗
52. Structural and electronic properties of the liquid polyvalent elements: the group-IV elements Si, Ge, Sn, and Pb10.1103/PhysRevB.41.1497 ↗
53. VESTA3 for three-dimensional visualization of crystal, volumetric and morphology data10.1107/S0021889811038970 ↗
54. Resolution of the exponent puzzle for the Anderson transition in doped semiconductors10.1103/PhysRevB.99.081201 ↗