Relating supercooling and glass-like arrest of kinetics for phase separated systems: studies on doped CeFe$_2$ and (La,Pr,Ca)MnO$_3$

A. Banerjee; A. K. Pramanik; C. L. Zhang; Kranti Kumar; P. Chaddah; S. B. Roy; S. Park; S-W. Cheong

REVIEW

Relating supercooling and glass-like arrest of kinetics for phase separated systems: studies on doped CeFe$_2$ and (La,Pr,Ca)MnO$_3$

Kranti Kumar, A. K. Pramanik, A. Banerjee, P. Chaddah, S. B. Roy, S. Park, C. L. Zhang, S-W. Cheong

Strongly Correlated Electrons · Submitted 27 Feb 2006 · 16 references

Pith's verdict: A useful empirical anti-correlation between supercooling and kinetic-arrest bands, but the bands themselves are inferred rather than measured, and the arrest-vs-supercooled distinction is never tested.

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CitationA. Banerjee, A. K. Pramanik, C. L. Zhang, Kranti Kumar, P. Chaddah, S. B. Roy, S. Park, S-W. Cheong. "Relating supercooling and glass-like arrest of kinetics for phase separated systems: studies on doped CeFe$_2$ and (La,Pr,Ca)MnO$_3$." arXiv:cond-mat/0602627 (2006). https://pith.science/paper/Z7WKUMVT

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Editor's note

read the letter

I've read the CeFe2/LPCMO kinetic-arrest paper. The thing to know: it reports a genuinely new empirical pattern—two very different phase-separated magnets behave as if the regions that supercool most easily are the ones that arrest at higher temperatures. That anti-correlation between the supercooling band and the kinetic-arrest band is a useful organizing idea for the CMR/phase-separation crowd, and the two-system comparison is real independent support. The schematics in Figs. 1 and 2 are clear enough to extract the predicted M-H and M-T signatures, and the data match those signatures qualitatively for both an intermetallic and an oxide. Credit where due: this is not a fitting exercise; the two orderings make distinct predictions and the data pick one.

The soft spots are real, and one is load-bearing. The paper never directly measures either band. The conclusion rests on visual comparison of field-cooled magnetization curves with schematic sketches, with no error bars and no quantitative criterion for merger fields. That is a weaker form of evidence than the text's 'unambiguously show' suggests. More importantly, the distinction between a kinetically arrested glass and a merely supercooled metastable state—which the authors themselves draw in footnote [11]—is never experimentally checked. No relaxation, waiting-time, or cooling-rate data appear. The final paragraph concedes relaxation effects were not included. If the low-temperature field-cooled branches are simply supercooled, then the 'kinetic-arrest band' is a construct, not a measured object, and the anti-correlation claim is about a schematic. The one-to-one 'conjugate' correspondence between (H*,T*) and (HK,TK) lines is also asserted, not justified; interacting or diffuse regions could produce the same merger hierarchy without pointwise pairing.

None of this makes the paper worthless. It is a short letter, and the pattern is worth testing properly. The universal extrapolation is properly hedged as 'possible universality.' My bottom line: send it to peer review—a good referee will ask for time-dependent measurements or at least a clear statement that the arrest interpretation is assumed, not demonstrated. The paper would then be a solid contribution to the kinetic-arrest literature rather than an overclaimed one.

Referee report

Significance

If established, the claimed anti-correlation is significant because it connects two distinct metastability phenomena—supercooling and kinetic arrest—and it is tested on two very different material families. The paper makes a useful conceptual contribution by showing that the ordering of the two bands should be experimentally accessible through distinct M-H and M-T histories, and it presents data that are qualitatively consistent with the anti-correlated scenario. The strength of the paper lies in this falsifiable protocol and in the explicit comparison of correlated versus anti-correlated predictions. However, the evidence is currently qualitative: the bands are not directly measured, the identification of kinetic arrest is not experimentally verified against the paper's own definition in footnote [11], and no relaxation or waiting-time data are provided. The universal conclusion therefore remains speculative rather than demonstrated.

Major objections (3)

[Experimental identification of kinetic arrest (Figs. 3 and 4; footnote [11])] The paper's central distinction between a kinetically arrested glass and a supercooled metastable state is defined in footnote [11] through relaxation behavior, but no relaxation, waiting-time, or cooling-rate measurements are presented anywhere in the manuscript. The final paragraph explicitly states 'we have not included relaxation effects in our present study.' Consequently, the field-cooled low-temperature states are not experimentally shown to be kinetically arrested; they could be merely supercooled states. This matters because the anti-correlation claim refers to a kinetic-arrest band, and if the low-temperature branch is not an arrested glass, the object whose ordering is inferred is not the band claimed.
[Section 2, conjugate-band assumption and inference from bulk magnetization] The conclusion that the bands are anti-correlated rests on the assumption that each local region has a unique conjugate pair of (H*, T*) and (H_K, T_K) lines, and that the ordering inferred from bulk M-H and M-T curves faithfully reflects this one-to-one correspondence. The bands are never directly measured or reconstructed; the assignment is based on visual qualitative matching to the schematics in Figs. 1 and 2 (and Fig. 4), without error bars or a quantitative criterion for the merger fields shown by arrows in Fig. 3(a). This is a load-bearing gap because the same qualitative curves might be reproduced by a disorder-broadened first-order transition without kinetic arrest.
[Abstract and final paragraph] The abstract and final paragraph state that the systems 'unambiguously show anti-correlation' and suggest possible universality. Given the qualitative nature of the comparison and the missing relaxation data, the evidence supports consistency with the anti-correlated scenario but not an unambiguous determination. The universality claim is based on only two systems and is explicitly speculative; the wording should be moderated or, preferably, supported with additional quantitative and relaxation measurements.

Minor objections (5)

[Page 2, first paragraph] The word 'pollycrystalline' should be 'polycrystalline'.
[Figure 3(a)] The three panels in Fig. 3(a) are not individually labeled with the temperatures 2 K, 4 K, and 20 K; the caption should clarify which panel corresponds to which temperature.
[Page 3, last paragraph] The phrase 'the H is increase to 10 kOe' should be 'the H is increased to 10 kOe'.
[Reference [15]] The schematic predictions for the FM ground-state case rely on reference [15], a preprint; since this is central to interpreting Fig. 4, the key predicted curves for the correlated case should be shown or described more fully in the present paper.
[Abstract] The phrase 'unambiguously show anti-correlation' is stronger than the evidence in the body; consider replacing it with 'are consistent with anti-correlation' unless additional quantitative analysis is added.

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The paper

The paper claims

Two very different magnets show that the regions which supercool most easily are the ones that freeze first, suggesting a universal disorder-driven link between supercooling and kinetic arrest.

The reading

The paper sets out to relate two ways a magnetic material can be caught out of equilibrium across a first-order transition: supercooling, where a high-temperature phase survives below its equilibrium boundary, and kinetic arrest, where a phase freezes because transformation kinetics stop. It argues that in a disordered sample each local region has its own supercooling limit and its own kinetic-arrest limit, so the ensemble forms two bands in field-temperature space. The central experimental claim is that in two very different systems these bands are anti-correlated: regions that can be supercooled to lower temperatures undergo kinetic arrest at higher temperatures. The result matters because it suggests a common disorder-driven ordering behind glass-like arrest across diverse materials and gives a way to test it using magnetization measurements.

What carries the argument

The central object is a pair of bands in the field-temperature plane: the supercooling band $(H^*,T^*)$, made of the spinodal lines where each local region loses metastability, and the kinetic-arrest band $(H_K,T_K)$, made of the lines below which each region's transformation kinetics stop on laboratory time scales. Each line in one band is assumed to have a conjugate line in the other, representing the same local region. The argument works by deriving distinct magnetization-versus-field and magnetization-versus-temperature signatures for the two possible orderings of these bands and comparing them with measurements after field cooling in different fields.

Extended reading notes

Core claim

On the paper's own terms, the discovery is that the kinetic-arrest band $(H_K,T_K)$ and the supercooling spinodal band $(H^*,T^*)$ are anti-correlated in both Ce(Fe,2%Os)2 and (La,Pr,Ca)MnO3. For the intermetallic, which has an antiferromagnetic ground state, and the manganite, which has a ferromagnetic ground state, field-cooled magnetization curves measured on field reduction and on warming follow the predicted signatures for anti-correlated bands and contradict the correlated-band signatures. Because the two systems share almost nothing except disorder-broadened first-order transitions with coexisting ferromagnetic and antiferromagnetic regions, the paper takes this as evidence that the anti-correlation may be a general consequence of quenched disorder rather than a material-specific accident.

Load-bearing premise

The analysis assumes that each microscopic region of the sample has one well-defined supercooling line and one well-defined kinetic-arrest line, paired one-to-one, so that ordering the two bands is meaningful; the paper also sets aside relaxation effects, so time-dependent transformations could blur the signatures.

Editorial extensions

If this is right

If the anti-correlation is generic, field cooling in higher fields will always trap a larger frozen fraction, and de-arrest will begin at progressively higher fields or temperatures for higher cooling fields.
Kinetic arrest can be mapped with field as the control variable, not just temperature, giving a practical way to study glass-like arrest in magnets without changing T.
The same M-H and M-T tests can be applied to other phase-separated systems such as Gd5Ge4, Nd-Sr-Mn-O, and Nd7Rh3 to see whether they also show anti-correlated bands.
The results imply a link between stronger local disorder and easier glass formation, because regions whose transition temperatures are depressed are also the ones whose kinetics stop first.

Reading between the lines

Editorial extensions of the paper, not claims the author makes directly.

If the anti-correlation holds generally, it suggests a microscopic ordering principle: disorder that lowers the local equilibrium transition temperature also raises the local arrest temperature, so the most disordered regions freeze first and de-freeze last.
The paper explicitly sets aside relaxation effects; if relaxation is significant on the measurement time scale, the observed merger patterns could partly reflect slow dynamics rather than the static band ordering. Waiting-time experiments would separate the two.
A sharper test would be to tune disorder concentration in one material and check whether the relative order of the two bands changes in the predicted direction, connecting the band-ordering picture to the glass-transition 'fragility' concept.

Original abstract

Coexisting ferromagnetic and antiferromagnetic phases over a range of temperature as well as magnetic field have been reported in many materials of current interest, showing disorder-broadened 1st order transitions. Anomalous history effects observed in magnetization and resistivity are being explained invoking the concepts of kinetic arrest akin to glass transitions. From magnetization measurements traversing novel paths in field-temperature space, we obtain the intriguing result that the regions of the sample which can be supercooled to lower temperatures undergo kinetic-arrest at higher temperatures, and vice versa. Our results are for two diverse systems viz. the inter-metallic doped CeFe$_2$ which has an antiferromagnetic ground state, and the oxide La-Pr-Ca-Mn-O which has a ferromagnetic ground state, indicating the possible universality of this effect of disorder on the widely encountered phenomenon of glass-like arrest of kinetics.

The compiled record

The paper's own sentences, arranged, kept beside the review and separate from it. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 3,848 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.11 · human participants 0.01 · controlled comparison 0.05 · randomized assignment 0.01 · states quantitative result 0.04 · compares with prior results 0.21 · mentions code or data availability 0.01.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; show every role.

Coexisting ferromagnetic and antiferromagnetic phases over a range of temperature as well as magnetic field have been reported in many materials of current interest, showing disorder-broadened 1st order transitions. Anomalous history effects observed in magnetization and resistivity are being explained invoking the concepts of kinetic arrest akin to glass transitions. From magnetization measurements traversing novel paths in field-temperature space, we obtain the intriguing result that the regions of the sample which can be supercooled to lower temperatures undergo kinetic-arrest at higher temperatures, and vice versa. Our results are for two diverse systems viz. the inter-metallic doped CeFe$_2$ which has an antiferromagnetic ground state, and the oxide La-Pr-Ca-Mn-O which has a ferromagnetic ground state, indicating the possible universality of this effect of disorder on the widely encountered phenomenon of glass-like arrest of kinetics.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	Coexisting ferromagnetic and antiferromagnetic phases over a range of temperature as well as magnetic field have been reported in many materials of current interest, showing disorder-broadened 1st order transitions.	background 1.00	0.05	0.03	asserted 1.00
s1	Anomalous history effects observed in magnetization and resistivity are being explained invoking the concepts of kinetic arrest akin to glass transitions.	background 0.95	0.09	0.05	asserted 0.89
s2	From magnetization measurements traversing novel paths in field-temperature space, we obtain the intriguing result that the regions of the sample which can be supercooled to lower temperatures undergo kinetic-arrest at higher temperatures, and vice versa.	result 1.00	0.96	0.82	asserted 1.00
s3	Our results are for two diverse systems viz. the inter-metallic doped CeFe$_2$ which has an antiferromagnetic ground state, and the oxide La-Pr-Ca-Mn-O which has a ferromagnetic ground state, indicating the possible universality of this effect of disorder on the widely encountered phenomenon of glass-like arrest of kinetics.	interpretation 0.82	0.90	0.48	hedged possibility 0.99

What kind of paper the classifier reports this is: empirical study 1.00 · evidence from observation or experiment 1.00.

What was examined, and what was not

sources read

arXiv listing abstract v1

not examined

full text
figures and tables
references and citing sentences
relations to other papers

levels run

P abstract

not run

S sections
T body sentences
C citations
R cross-paper relations

Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

Figures

**Figure 1.** FIG. 1: (color online) Schematics of H-T phase diagrams as

**Figure 3.** FIG. 3: (color online) (a) Shows the M-H of Ce(Fe, 2%Os)

Showing 2 of the paper's 3 figures. See all figures in the PDF ↗ Figures reproduced from arXiv:cond-mat/0602627 by the authors.

References

Works cited (16)

[11]

The metastable kinetically arrested (or glass) state i s dif- ferent from the metastable supercooled state in that the latter (but not the former) will undergo a metastable to stable transformation on lowering of temperature. In other words, the relaxation time decreases with the decrease in T for a supercooled state whereas the relaxation time in- crease...

View on Pith
[1]

E Dagotto, T. Hotta and A. Moreo, Phys. Rep. 344, 1 (2001); E. Dagotto, Nanoscale Phase Separation and Colossal Magnetoresistance , Springer Verlag, Berlin (2003) and references therein

View on Pith 2001
[2]

Y Imry and M Wortis, Phys. Rev. B. 19, 3580 (1979)

View on Pith 1979
[3]

A Soibel et al., Nature (London) 406, 283 (2000)

View on Pith 2000
[4]

S. B. Roy et al., Phys. Rev. Lett. 92, 147203 (2004). 5

View on Pith 2004
[5]

M. A. Manekar et al., Phys. Rev. B 64, 104416 (2001)

View on Pith 2001
[6]

K. J. Singh et al., Phys. Rev. B 65, 094419 (2002)

View on Pith 2002
[7]

M. K. Chattopadhyay et al., Phys. Rev. B 70, 214421 (2004)

View on Pith 2004
[8]

M. K. Chattopadhyay et al., Phys. Rev. B 72, R180401 (2005)

View on Pith 2005
[9]

P. A. Sharma et al., Phys. Rev. B 71, 224416 (2005)

View on Pith 2005
[10]

L. Ghivelder and F. Parisi, Phys. Rev. B 71, 184425 (2005)

View on Pith 2005
[12]

H. Kuwahara et al., Science 270, 961 (1995)

View on Pith 1995
[13]

Y. Tokura et al., Phys. Rev. Lett. 76, 3184 (1996)

View on Pith 1996
[14]

K. Sengupta and E. V. Sampathkumaran, Phys. Rev. B 73, R20406 (2006)

View on Pith 2006
[15]

P. Chaddah, A. Banerjee and S. B. Roy, cond-mat 0601095

View on Pith
[16]

S. B. Roy, S. J. Kennedy and B. R. Coles, J. Physique Coll. 49, C8 277 (1988)

View on Pith 1988

Discussion

Disagree with the review, or know something it missed? Leave a comment, highlight any passage above to comment on it, or challenge this review formally.

[1] [11]

The metastable kinetically arrested (or glass) state i s dif- ferent from the metastable supercooled state in that the latter (but not the former) will undergo a metastable to stable transformation on lowering of temperature. In other words, the relaxation time decreases with the decrease in T for a supercooled state whereas the relaxation time in- crease...

View on Pith

[2] [1]

E Dagotto, T. Hotta and A. Moreo, Phys. Rep. 344, 1 (2001); E. Dagotto, Nanoscale Phase Separation and Colossal Magnetoresistance , Springer Verlag, Berlin (2003) and references therein

View on Pith 2001

[3] [2]

Y Imry and M Wortis, Phys. Rev. B. 19, 3580 (1979)

View on Pith 1979

[4] [3]

A Soibel et al., Nature (London) 406, 283 (2000)

View on Pith 2000

[5] [4]

S. B. Roy et al., Phys. Rev. Lett. 92, 147203 (2004). 5

View on Pith 2004

[6] [5]

M. A. Manekar et al., Phys. Rev. B 64, 104416 (2001)

View on Pith 2001

[7] [6]

K. J. Singh et al., Phys. Rev. B 65, 094419 (2002)

View on Pith 2002

[8] [7]

M. K. Chattopadhyay et al., Phys. Rev. B 70, 214421 (2004)

View on Pith 2004

[9] [8]

M. K. Chattopadhyay et al., Phys. Rev. B 72, R180401 (2005)

View on Pith 2005

[10] [9]

P. A. Sharma et al., Phys. Rev. B 71, 224416 (2005)

View on Pith 2005

[11] [10]

L. Ghivelder and F. Parisi, Phys. Rev. B 71, 184425 (2005)

View on Pith 2005

[12] [12]

H. Kuwahara et al., Science 270, 961 (1995)

View on Pith 1995

[13] [13]

Y. Tokura et al., Phys. Rev. Lett. 76, 3184 (1996)

View on Pith 1996

[14] [14]

K. Sengupta and E. V. Sampathkumaran, Phys. Rev. B 73, R20406 (2006)

View on Pith 2006

[15] [15]

P. Chaddah, A. Banerjee and S. B. Roy, cond-mat 0601095

View on Pith

[16] [16]

S. B. Roy, S. J. Kennedy and B. R. Coles, J. Physique Coll. 49, C8 277 (1988)

View on Pith 1988