Chemical Potential as a Detector of Phase Transitions in Solids

Matlak, M.; Gosławska, E.; Grabiec, B.; Eid, Kh.M.

doi:10.12693/aphyspola.97.365

Cited by 10 publications

(15 citation statements)

References 8 publications

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“…[11][12][13][14]), we claim that the same drastic effect in chemical potential derivative would apply to the Fermi systems with temperature, concentration or (internal or external) pressure driven phase transitions. The apparently smooth and featureless curve of the temperature dependence of the chemical potential shows small but distinct kinks at phase transitions.…”

Section: Discussionmentioning

confidence: 71%

“…The numerical solution of the system of complicated seven implicit nonlinear equations not only allows to discuss the magnetic properties of the model (the possibility of appearance of the antiferromagnetic or paramagnetic phases) but also to show the temperature dependence of the average electron occupation numbers and of the chemical potential in the vicinity of transition (Neel) temperature. Here, since both effects (on (nσf(d) ) and on µ) were first introduced and described in papers [11][12][13][14], we will concentrate ourselves only on the temperature dependence of the chemical potential µ (the effect of critical electron redistribution is much more difficult to measure in experiment for it needs the knowledge of the density of states and of the chemical potential µ at every temperature in the considered range). However, we will not put the special emphasis on the chemical potential alone but, to enhance the effect of chemical potential critical behaviour at critical temperatures, we introduce the chemical potential derivative (instead of recently used (Ref.…”

Section: H E R E a F T E R W E A S S U M E T H A T B O T H Vσmentioning

confidence: 99%

“…However, in view of the results of the recent papers, Refs. [11][12][13][14], concerning the straightforward relations between chemical potential temperature dependence and phase transitions in the electronic system, it seems to be interesting to see whether for magnetic systems exhibiting fluctuating valence the critical behaviour of the chemical potential can also be able to report on phase transitions in such systems. In the present paper we show that for antiferromagnets exhibiting fluctuating valence, described by the extended s-f model, Refs.…”

mentioning

confidence: 99%

“…[7][8][9][10], the phase transition antiferromagnet-paramagnet at Neel's temperature TN can clearly be detected (similarly to other types of phase transitions, Refs. [11][12][13][14]) exclusively from the plot of the chemical potential versus temperature, because of visible kinks at T = TN.…”

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confidence: 99%

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Chemical Potential Derivative as Hallmark for Phase Transitions

Pietruszka

Matlak

1999

Acta Phys. Pol. A

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We study antiferromagnetic properties of the two-band extended s-f model with fluctuating valence in the context of two mutually bound new effects of chemical potential critical behaviour, as well as of critical electron redistribution. In order to exemplify both phenomena we build phase diagrams of the system displaying the dependence of the critical Neel temperatures (TN) of the system versus 4f (5f) level positions. The phase diagram consists of two different areas corresponding to antiferromagnetic and paramagnetic phases. We plot the magnetizations and the correlation functions of the system as functions of temperature. Next, we investigate the temperature dependence of the relative average occupation numbers Δn f( d) and the chemical potential ΔA for a given 4f (5f)" level position Ef. Plotting this quantities along the Ef cross-section lines we observe small (of the order of 10 -4 -10 -3 ) but well localized kinks exactly at the Neel temperature TN. Last but not least, we plot the first derivative of the chemical potential d µ / d T w h i c h , a s i t s h o w s c l e a r l y v i s i b l e j u m p s a tT N, m a y t u r n o u t t o b e very accurate and sensitive (auxiliary) tool to find critical temperatures of the considered system. Moreover, we plot the difference µAF -µPARA where we subtract a chemical potential value of a reference paramagnetic sample from the actual value of the antiferromagnetic system. Also in this case we report the observation of discontinuous change in slope at TN. Our observations can be extended to point out to a new practical possibility of how to find experimentally the critical temperatures of the antiferromagnetic systems exclusively from the chemical potential measurements. We expect that the same type of measurement, according to our recent and present results, would also apply to all types of critical phenomena in real solids.

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Section: Discussionmentioning

confidence: 71%

Section: H E R E a F T E R W E A S S U M E T H A T B O T H Vσmentioning

confidence: 99%

mentioning

confidence: 99%

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confidence: 99%

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Chemical Potential Derivative as Hallmark for Phase Transitions

Pietruszka

Matlak

1999

Acta Phys. Pol. A

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“…also Refs. [11][12][13][14][15][16][17][18][19][20][21][22][23]). For superconducting systems (see Ref.…”

Section: Introductionmentioning

confidence: 99%

Thermodynamical Cross-Relations for Superconductors at the Critical Point

Grabiec

Matlak

2002

phys. stat. sol. (b)

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We investigate superconducting systems using the phenomenological Landau theory of second order phase transitions, including into the considerations the critical behaviour of the chemical potential. We derive in this way a variety of new thermodynamical relations at the critical point. Twelve basic relations connect critical jumps of different thermodynamical quantities (specific heat, chemical potential derivatives with respect to temperature, pressure (volume) and number of particles, volume (pressure) derivatives with respect to temperature and pressure (volume)) with the critical temperature or its derivatives with respect to the number of particles or pressure (volume). These relations allow to find plenty of cross-relations between different quantities at the critical point. The derived formulae can be practically used in many cases to find such thermodynamical quantities at the critical point, which are extremely difficult to measure, under the assumption that the other ones are already known. We additionally perform a test of two derived relations by using a two-band microscopic model describing superconducting systems. We calculate the specific heat, order parameter, and chemical potential as functions of temperature to show that the tested relations are very well fulfilled.

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Thermodynamical Cross‐Relations for Superconductors at the Critical Point

Grabiec¹,

Matlak²

2002

phys. stat. sol. (b)

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We investigate superconducting systems with the use of the phenomenological Landau's theory of second order phase transitions, including into the considerations the critical behaviour of the chemical potential. We derive in this way a variety of new thermodynamical relations at the critical point. Twelve basic relations connect critical jumps of different thermodynamical quantites (specific heat, chemical potential derivatives with respect to temperature, pressure (volume) and number of particles, volume (pressure) derivatives with respect to temperature and pressure (volume)) with the critical temperature or its derivatives with respect to the number of particles or pressure (volume). These relations allow to find plenty of cross-relations between different quantities at the critical point. The derived formulae can practically be used in many cases to find such thermodynamical quantities at the critical point which are extremely difficult to measure under the assumption that the other ones are already known. We additionally perform a test of the two derived relations by using two-band microscopic model, describing superconducting systems. We calculate the specific heat, order parameter and chemical potential as functions of temperature to show that the tested relations are very well fulfilled.

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Chemical Potential as a Detector of Phase Transitions in Solids

Cited by 10 publications

References 8 publications

Chemical Potential Derivative as Hallmark for Phase Transitions

Chemical Potential Derivative as Hallmark for Phase Transitions

Thermodynamical Cross-Relations for Superconductors at the Critical Point

Thermodynamical Cross‐Relations for Superconductors at the Critical Point

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