Critical behavior of Si:P at the metal-insulator transition

Rosenbaum, T. F.; Thomas, G. A.; Paalanen, M. A.

doi:10.1103/physrevlett.72.2121

Cited by 41 publications

(39 citation statements)

References 5 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Significant hysteresis effects are observed in N i(S, Se) 2 and if conventional (as opposed to activated) scaling is assumed then the dynamical scaling exponent is surprisingly large (Husmann et al, 1996). In the well studied (Rosenbaum et al, 1994;Stupp et al, 1994) doped semiconductor SiP there are large sample to sample variations that are apparent only at very low temperatures, T < 60mK, suggesting equilibration problems due to very long relaxation times, and, possibly, dynamical heterogeneity effects. The glassy aspects of this has been discussed in detail elsewhere (Belitz and Kirkpatrick, 1995a).…”

Section: B Disordered and Interacting Electrons: Connections With Ramentioning

confidence: 99%

Colloquium: Random first order transition theory concepts in biology and physics

2015

View full text Add to dashboard Cite

The routine transformation of a liquid, as it is cooled rapidly, resulting in glass formation, is remarkably complex. A theoretical explanation of the dynamics associated with this process has remained one of the major unsolved problems in condensed matter physics. The Random First Order Transition (RFOT) theory, which was proposed over twenty five years ago, provides a theoretical basis for explaining much of the phenomena associated with glass forming materials. It links or relates multiple metastable states, slow or glassy dynamics, dynamic heterogeneity, and both a dynamical and an ideal glass transition. Remarkably, the major concepts in the RFOT theory can also be profitably used to understand many spectacular phenomena in biology and condensed matter physics, as we illustrate here. The presence of a large number of metastable states and the dynamics in such complex landscapes in biological systems from molecular to cellular scale and beyond leads to behavior, which is amenable to descriptions based on the RFOT theory. Somewhat surprisingly even intratumor heterogeneity arising from variations in cancer metastasis in different cells is hauntingly similar to glassy systems. There are also deep connections between glass physics and electronically disordered systems undergoing a metal-insulator transition, aging effects in which quantum effects play a role, and the physics of super glasses (a phase that is simultaneously a super fluid and a frozen amorphous structure). We argue that the common aspect in all these diverse phenomena is that multiple symmetry unrelated states governing both the equilibrium and dynamical behavior -a lynchpin in the RFOT theory -controls the behavior observed in these unrelated systems.

show abstract

Section: B Disordered and Interacting Electrons: Connections With Ramentioning

confidence: 99%

Colloquium: Random first order transition theory concepts in biology and physics

2015

View full text Add to dashboard Cite

show abstract

“…3. Here N c is fixed already within an accuracy of 0.16% corresponding to the fractional difference in N between the first and second samples from the bottom, i.e., unlike the case for Si:P, 30,43,44 the determination of the critical conductivity exponent will not be affected by the ambiguity in the value of N c . was criticized by Shlimak et al 45 for our doping level's not being close enough to N c .…”

mentioning

confidence: 99%

Electrical properties of isotopically enriched neutron-transmutation-doped70Ge:Ganear the metal-insulator transition

et al. 1998

View full text Add to dashboard Cite

We report low-temperature carrier transport properties of a series of nominally uncompensated neutron-transmutation-doped 70 Ge:Ga samples very close to the critical concentration Nc for the metal-insulator transition. The nine samples closest to Nc have Ga concentrations N in the range 0.99Nc < N < 1.01Nc. The electrical conductivity σ has been measured in the temperature range T = 0.02 − 1 K. On the metallic side of the transition the standard σ(T ) = a + bT q with q = 1/2 was observed for all the samples except for the two that are closest to Nc with N between Nc and 1.0015Nc. These samples clearly show q = 1/3.An extrapolation technique has been developed in order to obtain the zero-temperature conductivity σ(0) from σ(T ) with different dependence on T . Based on the analysis, ν ≈ 0.5 in the familiar form of σ(0) ∝ (N/Nc − 1) ν has been found. On the insulating side of the transition, variable range hopping resistivity ρ(T ) ∝ exp(T0/T ) p with p = 1/2 has been observed for all the samples having N < 0.991Nc. In this regime T0 ∝ (1 − N/Nc) α with α ≈ 1 as N → Nc. The values of T0 agree very well with theoretical estimates based on the modified Efros and Shklovskii relation kBT0 ≈ (2.8e 2 /4πǫ0κ0ξ0)(1 − N/Nc) α , where κ0 and ξ0 are the dielectric constant and the Bohr radius, respectively. The insulating samples very close to the transition (0.991Nc < N < Nc) exhibit quite a different behavior. In this range 1/p increases rapidly as N changes from 0.991Nc to Nc. The relevance of our findings to the collapsing of the Coulomb gap is discussed.

show abstract

“…Then it is not necessary to include interactions to characterize the critical behaviour although these can be important outside the critical regime. It has to be noted that some reserves have been made [23] about the results obtained in Ref. [22] and it will be interesting to check carefully this problem in order to clarify the situation.…”

mentioning

confidence: 99%

Does Broken Time Reversal Symmetry Modify the Critical Behavior at the Metal-Insulator Transition in 3-Dimensional Disordered Systems?

Hofstetter

Schreiber

1994

Phys. Rev. Lett.

View full text Add to dashboard Cite

The critical behaviour of 3-dimensional disordered systems with magnetic field is investigated by analyzing the spectral fluctuations of the energy spectrum. We show that in the thermodynamic limit we have two different regimes, one for the metallic side and one for the insulating side with different level statistics. The third statistics which occurs only exactly at the critical point is independent of the magnetic field. The critical behaviour which is determined by the symmetry of the system at the critical point should therefore be independent of the magnetic field.

show abstract

Critical behavior of Si:P at the metal-insulator transition

Cited by 41 publications

References 5 publications

Colloquium: Random first order transition theory concepts in biology and physics

Colloquium: Random first order transition theory concepts in biology and physics

Electrical properties of isotopically enriched neutron-transmutation-doped70Ge:Ganear the metal-insulator transition

Does Broken Time Reversal Symmetry Modify the Critical Behavior at the Metal-Insulator Transition in 3-Dimensional Disordered Systems?

Contact Info

Product

Resources

About