p of - w2agz collected 1965-1990...w1th fractional statistics (a.nyons) in 2+1 dimensions. we study...

17
3r Abstract Submilted Sorting Category P;\CS Number 74.70Vy ror the March 1990 iVle e Ung o r llie Suggested Se ss ion : American I'hysic;lI So ciety 1Jigh-Tc Superconductor s 12-1() [ "larch 1990 Electronic Properties of " n_type "' Iligh Temper- ature Superconductors as a Function of Synthesis and Process- ing. P. M. GRANT, M.E . LCWEZ-MORALES* and R..J. SA YOY, IllM Almaden Research Center.-- We report studies on the resistivity, a.c. susceptihility and thermopower or ceramic Nd 2 - x Ce x Cu04_y and Ndl:u04 -Y - Xr X as a runction of prepa- ration and processing. We find that the temperature dependence of p in the normal state, the low-temperature shielding fraction given by Xac, and the sign and magnitude of the thermopower depend strongly on synthetic conditions . Usual calcination methods involving direct reaction or oxides of the constituent cations in a single step result in samples \vitl! non-metallic normal s tate resistivity, low hulk superconducting fraction , and a Seebeck coefficient which can change sign as a function of temperature . Using a two-step calcination rollowed hy a long anneal time and rapid quenching, material obtained with bulk superconducting fraction, metallic resistivity and negative thermopower. *On leave from Instituto de Investigaciones en Materiales, UNAM Signrlture or ;\ PS Member Paul M . Grant Nilme of /\ PS Member I BM Almaden Research Center Prefer Standard Session Address San .Jose, CJ\ 95120-6099

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Page 1: p of - W2AGZ Collected 1965-1990...W1th fractional statistics (a.nyons) in 2+1 dimensions. We study the mean field theory of anyons. Based on the RPA, we study the superfluidity (or,

3r

Abstract Submilted Sorting Category P;\CS Number 74.70Vy ror the March 1990 iVleeUng o r llie Suggested Sess ion :

American I'hysic;lI Society 1Jigh-Tc Superconductors 12-1() ["larch 1990

Electronic Properties of "n_type"' Iligh Temper­ature Superconductors as a Function of Synthesis and Process­ing. P .M. GRANT, M.E. LCWEZ-MORALES* and R..J. SAYOY, IllM Almaden Research Center.-- We report studies on the resistivity, a.c. susceptihility and thermopower or ceramic Nd 2 - xCexCu04_y and Ndl:u04 -Y - Xr X as a runction of prepa­ration and processing. We find that the temperature dependence of p in the normal state, the low-temperature shielding fraction given by Xac, and the sign and magnitude of the thermopower depend strongly on synthetic conditions . Usual calcination methods involving direct reaction or oxides of the constituent cations in a single step result in samples \vitl! non-metallic normal state resistivity, low hulk superconducting fraction , and a Seebeck coefficient which can change sign as a function of temperature. Using a two-step calcination rollowed hy a long anneal time and rapid quenching, material i .~ obtained with bulk superconducting fraction, metallic resistivity and negative thermopower. *On leave from Instituto de Investigaciones en Materiales, UNAM

Signrlture or ;\ PS Member

Paul M . Grant

Nilme of /\ PS Member

I BM Almaden Research Center

Prefer Standard Session Address

San .Jose, CJ\ 95120-6099

Page 2: p of - W2AGZ Collected 1965-1990...W1th fractional statistics (a.nyons) in 2+1 dimensions. We study the mean field theory of anyons. Based on the RPA, we study the superfluidity (or,

ulletin of the American

Physical ociety

Program of the 1990 March Meeting begins on page 160

>

Volume 35, Number 3 March 1990

Page 3: p of - W2AGZ Collected 1965-1990...W1th fractional statistics (a.nyons) in 2+1 dimensions. We study the mean field theory of anyons. Based on the RPA, we study the superfluidity (or,

16:06

K149 Elec tronic I' ropi:rties or "u-typc" Il igh Tem12£!: at urc Superconductor~ as a Fl!llction or Synthesis and Process­~ P.M. (;RANT, . ME. L()I'I~Z-M ()RAI.I;S· and IU . SA VOy. IIlM. Almaden Research Center..:: We report studies on the resistivity. a.c . . ~usceptihility and thermopower or ceramic Nd1_.Ce.CuO• .. y and Nd1CuO. y .1'. as ,I rlllH:tion or prera. ralion and processlllg. We find that the temperature dependence of I' In the normal state. the low· temperature .~hiclding fraction given by be. and the sign <lnd magnitudc or the thermopower depend strongly on synthetic condition .~. {Isual calcination methods involving direct react ion or oxides or the constituent cations in a single step re.qlit in s~nlples with non-metallic normal state resistivity. low hulk superconducting rraction. and a Seeheck 'eoefficient which can change sign ;r .~ a rllnction or temperature. \Jsing a two-step calcination followed hy a long an neal tllne and rapid quenching. material i~ ohtained with hulk superconducting rraction, metallic I'c .~is tivity and negative thermopower. 'On leave rrom IMtituto de Investigaciones cn Materiales. UNAM

10:18

!-:' 141O Neutron Irradiatjon Effects of Un-dooed and Doped Tl-8a-Ca-Cy-O Supercoducting Samples. J.M.M~ason and Z.Z.Sheng, Department Qf ~, ~.~lrlc~, Department of Chemical Engineering, ~nlverslty of Arkansas. -- Various un-doped and Ag- or Hg-doped Tl-8a-Ca-Cu-O samples were exposed to dlfferent lev~ls o~ neutron radiation and were compared to thelr non-lrradlated counterparts by resistance m~asurem~nt, ac susceptibility measurements, and x-raydlffractlon analysis_ Interesting differences between the irradiated and non-irradiated samples were observed.

16:30 K14 II Impurity Effect .of S on SuperconductIvity In

YBa2CU3S06-<>· J . T. Wang. Stanely Tsai. Willie Williams, and

Saligrama SubbaRao Lincoln UnIversity, Lincoln UniversIty,

PA 19352 A. Kebede and J . E. Crow Temple UniversIty,

PhiladelphIa, PA 19122 -- We have studied the temperature

dependence of resistivity. magnetization of YBa~Cu .1so 6-<> to

determine the effect of the substitution of 0 by S . It has been

found that the transition temeprature Tc Is about the same as

YBa lCU307..,f, . It shows no isotopic effects; however, the

susceptibility of YBalCulSO~6 has remarkable difference from

that of YBa2CU307..,f,. The curve of susceptibility YBa2CUlS06-<>

above Tc can well be fit by the Curie-like law.

'This work is supported by ONR Grant NO. NOO014-89-J-3237.

16:42 K1412 Superconductivity in the Pre sence of Strong Parama netism: ( 7Ca )Sr (TI Pb )Cu 0 (R =

Magnetic Rare Earth Element. K_ Chen, Y.T. Huang, S.W. Lu, and W.H. Lee, Materials Research Laboratori ­es, Industrial Technology Research Institute, Chutung, Hsinchu, Taiwan R_O.C .. *-- The electrical and magnet­ic properties of the monophasic polycrystalline supe­rconductors (Ro.2Cao_s)Sr2(Tlo.SPbO.S)CU20y (R = mag­net lc tare earth element), which crystalize in the YBa2Cu307_x-like tetragonal structure with space gro­up P4/mmm, have been investigated. One interesting phenomenoo is the observation of the s trong paramagn­etism induced by the low-field-cooled trapped flux. For the compounds with effective moment larger than ­7 ~B' the magnetic susceptibility became positive be­low Tc wh en the applied magnetic field was 'i ncreased to - 2 Tesla. DC electrical resistivity meas urements under these magneti c fields reveal the fact of incom-

Vol. 35, No.3 (I 990)

Wednesday Afternoon

pletely burried diamagne ic l 'gnal by the magnetic !ield induced paramagnet i m.

Supported by the Ministl ot conomic Affairs, Rep­ublic of Chioa, no. 33Bl000 to ITRI.

SESSION K1S: HIGH T< THEORY: ANYONS Wednesday afternoon, 14 March 1990 San Simeon A Room at 14:30 D. Lee, presiding

14:30 K151. Anyon Superconductivity. Y-H Chen, F. Wilczek, E. Witten, B. Halperin, Institute for Advanced Studies' - We in.vestigate the statistical mechanics of a system of p~icles W1th fractional statistics (a.nyons) in 2+1 dimensions. We study the mean field theory of anyons. Based on the RPA, we study the superfluidity (or, superconductivity after coupling to elec­tromagnetism) of Anyon gas for statistical parameter 9 = '/l"(1- . l i n). Large n approximation is taken to study the low energy excitations. We study the phenomenology of anyon supercon­ductivity by mapping the response function from RPA to that of an effective lagrangian.

1 Y.-H. Chen, F. Wilczek, E . Witten, B. Halperin, Int. J. Mod. Phys . B S, 1001(1989).

14:42 K15 2Collective Behavior of Anyons. C.B. HANNA. A.L. FE11 and R.B . LAUGHLIN. StanFord University -- The undamped linearly-dlsperslng collecttve mode and the Meissner effec of the fractional-statistics gas are explained in terms of simple generalization of Llndhard screening . The collective-mode spectrum is obtained both variationally an in the random-phase ' approximation.

14:54 K 15 3 Band Structure of the Flux Lattice. D .P. AROVAS· and F.D.M. HALDANEt, Unjversity of California. San Djel:o -- As an approximation to the many anyon problem, we have investigated the band structure of a charged particle in the presence of a two-dimensional lattice of flux tubes. Various features of the dispersion are sensitive to the arithmetic ratio p/q, where <I>=p/q'hc/e is the flux per tube. For p­=1, q>2, there appear to be (q-2) extremely flat low-lying magnetic Bloch bands, reminiscent of a Landau level structure. Degeneracies and "flux smearing" are also discussed.

* NSF Presidential Young Investigator and Alfred P. Sloan Fellow. ** Supported in part by NSF: DMR-8901985.

15:06 K 15 4 Noncommutatjye Geometry Instead of Nal:aoka's Ground State and Pennj-LiQuid Breakdown in Correlated Electron Systems. P. WIEGMANN, University of California San Diel:o -- t'-rguments suggesting that in two dimensions the ground state of correlated electronic systems violates parity and time reversal are presented. It is shown that quasi-particles acquire fractional statistics and fonn an anyon gas.

15 :18 K 15 5 SuperfJlljdjty ofthe Lattice Anyon Gas and Topological lnyarjance. Eduardo Fradkin", Department of Physics, Uoiversity of Illinois at Urbana·Champaign, 1110 W.Green St., Urbana IL 61801. I consider a gas of"free" anyons with statistical pare meter 0, with hard cores, on a two dimensional square lattice. I map this problem onto a gas of fepnions coupled to a Chern-Simons gauge theory with coupung e=-. At the semi­classical level, the system is fOWld to be equivale~ to a gas of fermions , with the same density, in an average efective magnetic field ~. I consider the case in which an integer number of the Landau baods of the sapdle point problem are completely filled. If o~ and the density p=-, with m, r and q integers, the system is a s~perfluid, provided th?!t q is larger than twice the largest com mon factor of m and r . If q is even and the system is half

583

Page 4: p of - W2AGZ Collected 1965-1990...W1th fractional statistics (a.nyons) in 2+1 dimensions. We study the mean field theory of anyons. Based on the RPA, we study the superfluidity (or,

Electronic Properties of "n -type" High Temperature Superconductors

as a Function of Synthesis and Processing

P. M. Grant . M. E. Lopez-Morales·

R. J. Savoy

IBM Almaden Research Center

• On leave from IIM-UNAM, Mexico City

Appearing in Journal of Materials Research

Page 5: p of - W2AGZ Collected 1965-1990...W1th fractional statistics (a.nyons) in 2+1 dimensions. We study the mean field theory of anyons. Based on the RPA, we study the superfluidity (or,

- -- - - ---------

"n-type" High-Tc

~

Nd a:+-; @ (Ce) v~Clf?)

CUO~

• Nd2Cu04 Host

o Long History (> La2Cu04) o Cu-Q Planes: No Apical Q

• 1988 SC Discovered (Tokura, et al.)

o Doped with 4+ Cations o Negative Hall and TEP at 300K

Page 6: p of - W2AGZ Collected 1965-1990...W1th fractional statistics (a.nyons) in 2+1 dimensions. We study the mean field theory of anyons. Based on the RPA, we study the superfluidity (or,

One-Step Synthesis

(1-0.5x)Nd203 + CuO + xCe02 -7

Nd2-xCexCu04 + O.25x02t

• Synthesis/Processing

o Calcine at 950°C o Sinter at 1050-1150 °C o Reduce under Argon o Rapidly Quench

• Difficulties

o Strong Ce-O Bond o Slow Ce Diffusion o High Temperatures Needed o No Oxygen Reduction Control

Page 7: p of - W2AGZ Collected 1965-1990...W1th fractional statistics (a.nyons) in 2+1 dimensions. We study the mean field theory of anyons. Based on the RPA, we study the superfluidity (or,

,..-..... (f)

+-' C

:::> OJ >

+-' o OJ

0::::

I

~

@~ Nd~ © (Ce) •~CJl?)

cu~

I

1

I I

Nd1.8SCeO.1SCU04-y

I NdCe03.5

~ NdCeJ07.5

- - ~ CU20

I

lI I

Vj J ! UlA-VVv-.A A j

I I I~IIN

I N

0 0~ ~ o to ~

r-­N ~ 'I' N N~0 ~ 0 a0 ~ 0 ~0a to

-~ 0 -­0 -('oj ns: 0

~ N

n S

I I I I ' .

10 20 30 40 50 60 Diffraction Angle (20)

Page 8: p of - W2AGZ Collected 1965-1990...W1th fractional statistics (a.nyons) in 2+1 dimensions. We study the mean field theory of anyons. Based on the RPA, we study the superfluidity (or,

----0

§ Q

[}

0.01 0

8

0.00 0

0.04

0.03

~

E

a0 0.02

'--""

Q..

0.01

0.00 0

0.04

0.03 E

e0

0.02 0 '--""

10 20 30 40 50 Temperature (K)

0

8 8 § 0

0

0

0 Nd 1.85CeO.15CU04-y

~ 0

50 . 100 150 200 250 . 300 Temperature (K)

Page 9: p of - W2AGZ Collected 1965-1990...W1th fractional statistics (a.nyons) in 2+1 dimensions. We study the mean field theory of anyons. Based on the RPA, we study the superfluidity (or,

,--.... (f)

-+-' C

:::l

Q)

.> -+-' 0 Q)

~-0 0

><

i ~

0 0

~

Q)

> --+--J o Q)

~

(,) o

><

~ o 10 20 30 40 50, Temperature (K)

0 50 100 150 200 250 ' 300 Temperature (K)

Page 10: p of - W2AGZ Collected 1965-1990...W1th fractional statistics (a.nyons) in 2+1 dimensions. We study the mean field theory of anyons. Based on the RPA, we study the superfluidity (or,

Two-step Synthesis

I. O.5Nd203 + Ce02 4 NdCe03.5

• Calcine at 1400 DC, 48 hrs, in air

II. (1-x)Nd203 + xNdCe03.5 + CuO 4

Nd2-xCexCu04 + O.25x02t

• Calcine at 980 DC, 24 hrs, in 02 • Sinter at 1050 DC, 48 hrs, in O2

. • Anneal at 980°C, 36 hrs, in Argon • Quench to 25 DC, 30 sec, in Argon

Page 11: p of - W2AGZ Collected 1965-1990...W1th fractional statistics (a.nyons) in 2+1 dimensions. We study the mean field theory of anyons. Based on the RPA, we study the superfluidity (or,

NdCe20 / x

(a)

5011

.. ' ,- . _.

" r tI

/ t:::

r ." " .41' _.,,­I :

-1# '- ~"

"

.~. ' • ..... - . .-' ~

I •

(b)

Page 12: p of - W2AGZ Collected 1965-1990...W1th fractional statistics (a.nyons) in 2+1 dimensions. We study the mean field theory of anyons. Based on the RPA, we study the superfluidity (or,

--

--

8

6

E

a u

4 E Q

2

0

0

0

0

0

0

0

0

0

0

8 0

(c) Nd1.85CeO.15CU04-y

Ar Annealed, 36 Hrs Quenched

8 f-

I

6

-­E 0 a 4 E-­Q

2

f-

-

o -I

0 10 20 30 40 50 Temperature (K)

I I T -

f? CO coo 0 cxx:o 000_

0

0

0

0 -

0

0

0 -

0

~ cf)0~ -

I I I

o 50 100 150 200 250 300 Temperature (K)

Page 13: p of - W2AGZ Collected 1965-1990...W1th fractional statistics (a.nyons) in 2+1 dimensions. We study the mean field theory of anyons. Based on the RPA, we study the superfluidity (or,

0.0

-0.2

S' -0.4 E Q) ~

u 0

>< I;:: ~ -0.6

-0.8

-1.0

I I I I

I- cUDodb~o 0

0

0 00000 ­o 0

0

L­ 0 -

0

0 0

0 -

- # ,0

I 0

-

I--

Nd 1.85CeO.15CU04-y

Ar Annealed, 24 Hrs Quenched

-

- -

I I I I

10 20 30 40 50

Temperature (K) 0

Page 14: p of - W2AGZ Collected 1965-1990...W1th fractional statistics (a.nyons) in 2+1 dimensions. We study the mean field theory of anyons. Based on the RPA, we study the superfluidity (or,

--

1

0.0 T I 1

\ -0.2 I- a ­a

a----. a~ ~ a ~ -0.4 - a ­0 a

a

-0.6 a ­

U1

I- a a

a I I I I-0.8 ----.

~ 0 10 20 30 40 50 ~ ~ -1 Temperature (K) '--'"

(/)

T a

-2 1

-3 ~--~----~----~--~~~~----~ o 50 100 150 200 250 ' 300

Temperature (K)

Page 15: p of - W2AGZ Collected 1965-1990...W1th fractional statistics (a.nyons) in 2+1 dimensions. We study the mean field theory of anyons. Based on the RPA, we study the superfluidity (or,

Summary

o Successes

o Two-Step Method -t Uniform Cex

o dp/dT > 0, T > Tc o Narrow Transition Width o High Diagmagnetic Fraction

o Negative TEP, Tc< T < 300 K

• Unresolved Issues

o Oxygen Distribution o Microstructure

Page 16: p of - W2AGZ Collected 1965-1990...W1th fractional statistics (a.nyons) in 2+1 dimensions. We study the mean field theory of anyons. Based on the RPA, we study the superfluidity (or,

o o

Page 17: p of - W2AGZ Collected 1965-1990...W1th fractional statistics (a.nyons) in 2+1 dimensions. We study the mean field theory of anyons. Based on the RPA, we study the superfluidity (or,

o 0 o

~

0 0 o

s 0

cO 0 s ~o

(DO o o

oo