{VERSION 3 0 "SUN SPARC SOLARIS" "3.0" } {USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 0 1 255 0 0 1 0 1 0 0 1 0 0 0 0 }{PSTYLE "Normal" -1 0 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 }0 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "Heading 1" 0 3 1 {CSTYLE "" -1 -1 "" 1 18 0 0 0 0 0 1 0 0 0 0 0 0 0 }1 0 0 0 8 4 0 0 0 0 0 0 -1 0 }{PSTYLE "Heading 2" 3 4 1 {CSTYLE "" -1 -1 "" 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 }0 0 0 -1 8 2 0 0 0 0 0 0 -1 0 }{PSTYLE "Tit le" 0 18 1 {CSTYLE "" -1 -1 "" 1 18 0 0 0 0 0 1 1 0 0 0 0 0 0 }3 0 0 -1 12 12 0 0 0 0 0 0 19 0 }{PSTYLE "Author" 0 19 1 {CSTYLE "" -1 -1 " " 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 }3 0 0 -1 8 8 0 0 0 0 0 0 -1 0 } {PSTYLE "" 19 256 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 }0 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }} {SECT 0 {EXCHG {PARA 18 "" 0 "" {TEXT -1 109 "Coefficients of the HTSE for Unfrustrated and Frustrated S=1/2 Spin Chains\n(cond-mat/0003221, to \+ appear in EPJ B)" }}{PARA 256 "" 0 "" {TEXT -1 121 "Alexander Buehler, Norbert Elstner and Goetz S. Uhrig\n\nUniversity of Cologne\nInstitut e for Theoretical Physics\nApril 2000" }}}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 29 "Unfrustrated S=1/2 Spin Chain" }}{SECT 1 {PARA 4 "" 0 "" {TEXT -1 21 "Linked cluster method" }}{EXCHG {PARA 0 "" 0 "" {TEXT -1 14 "Susceptibility" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 705 "m[0] := 1.:\nm[1] := -4.:\nm[2] := 0.:\nm[3] := 64.:\nm[4] := 400 .:\nm[5] := -4032.:\nm[6] := -89376.:\nm[7] := 163840.:\nm[8] := \+ 26313984.:\nm[9] := 191334400.:\nm[10] := -9565698560.:\nm[11] := \+ -210597986304.:\nm[12] := 3486950684672.:\nm[13] := 2036347311882 24.:\nm[14] := -127324657152000.:\nm[15] := -205019990184689664.:\nm [16] := -3169755454477500416.:\nm[17] := 208763541109969256448.:\nm [18] := 8342101010835559022592.:\nm[19] := -17591285827114458152960 0.:\nm[20] := -18366266410738921187573760.:\nm[21] := -4078031728924 6872850923520.:\nm[22] := 38668138493195891009425244160.: \nm[23] \+ := 983734184997038611238624428032.: \nm[24] := -75650797544886562 610211717119286.7: " }{TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 65 "suceptibility_lc:=1/(4*T)*sum(m[i]/((i+1)!)*(J/(4*T)) ^i,i=0..24):" }{TEXT -1 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 13 "Sp ecific heat" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 659 "mc[2] := 6. 0:\nmc[3] := 36.:\nmc[4] := -360.:\nmc[5] := -7200.:\nmc[6] := 15120.: \nmc[7] := 1848672.:\nmc[8] := 11426688.:\nmc[9] := -594846720.:\nmc[1 0] := -11558004480.:\nmc[11] := 199812856320.:\nmc[12] := 101061911808 00.:\nmc[13] := -19376365252608.:\nmc[14] := -9289795522775040.:\nmc[1 5] := -121944211136778240.:\nmc[16] := 8791781390116945920.:\nmc[17] : = 310402124957945954304.:\nmc[18] := -7225535925744106143744.:\nmc[19] := -643407197363813620776960.:\nmc[20] := 96147483542540314214400.:\n mc[21] := 1279121513829538179364945920.:\nmc[22] := 279620698617435018 62336200704.:\nmc[23] := -2398518627113966015427501883392.:\nmc[24] := -129834725539335848980192847460554.112:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 54 "specific_heat_lc:=sum(mc[j]/(j!)*(J/(4*T))^j,j=2..24) :" }}}}{SECT 1 {PARA 4 "" 0 "" {TEXT -1 16 "Moment algorithm" }} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 420 "suceptibility_ma:=1/T*(1/4- 1/8*J/T+1/96*J^3/(T^3)+5/1536*J^4/(T^4)-7/5120*J^5/(T^5)-133/122880*J^ 6/(T^6)+1/16128*J^7/(T^7)+1269/4587520*J^8/(T^8)+3737/74317824*J^9/(T^ 9)-339691/5945425920*J^10/(T^10)-1428209/54499737600*J^11/(T^11)+18710 029/2242274918400*J^12/(T^12)+7045849/809710387200*J^13/(T^13)-358847/ 3957275492352*J^14/(T^14)-65174099663/28566582460416000*J^15/(T^15)-25 8645079463/498616712036352000*J^16/(T^16)):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 401 "specific_heat_ma:= 3/16*J^2/(T^2)+3/32*J^3/(T^3)- 15/256*J^4/(T^4)-15/256*J^5/(T^5)+21/4096*J^6/(T^6)+917/40960*J^7/(T^7 )+1417/327680*J^8/(T^8)-4303/688128*J^9/(T^9)-334433/110100480*J^10/(T ^10)+37543/31457280*J^11/(T^11)+3987607/3170893824*J^12/(T^12)-1925339 /41523609600*J^13/(T^13)-369233453/930128855040*J^14/(T^14)-3150427081 7/362750253465600*J^15/(T^15)+851758334701/8706006083174400*J^16/(T^16 ):" }{TEXT -1 0 "" }}}}}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 27 "Frustrate d S=1/2 Spin Chain" }}{SECT 1 {PARA 4 "" 0 "" {TEXT -1 16 "Moment algo rithm" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 1256 "fsuceptibility_ma :=1/T*((15205963/5945425920*alpha^2-311903/82575360*alpha^3+9659/39321 60*alpha^4-1177787/825753600*alpha^5+599639/594542592*alpha^6+791221/1 486356480*alpha^7-367481/1486356480*alpha^8+22433/148635648*alpha^9-33 9691/5945425920*alpha^10-22843/1486356480*alpha-339691/5945425920)*J^1 0/(T^10)+(-34337/23592960*alpha+14125/4128768*alpha^2-1249/35389440*al pha^3+317/229376*alpha^4-969/655360*alpha^5+93463/61931520*alpha^6-670 97/82575360*alpha^7-361/1720320*alpha^8+3737/74317824*alpha^9+3737/743 17824)*J^9/(T^9)+(-23629/20643840*alpha-58651/13762560*alpha^2+28751/5 160960*alpha^3-59/20160*alpha^4-877/1290240*alpha^5+5389/20643840*alph a^6-1271/1720320*alpha^7+1269/4587520*alpha^8+1269/4587520)*J^8/(T^8)+ (5863/1474560*alpha-805/73728*alpha^2+3023/737280*alpha^3-381/81920*al pha^4+943/368640*alpha^5+67/368640*alpha^6+1/16128*alpha^7+1/16128)*J^ 7/(T^7)+(9/1280*alpha+221/61440*alpha^2-163/92160*alpha^3+7/15360*alph a^4+23/7680*alpha^5-133/122880*alpha^6-133/122880)*J^6/(T^6)+(-7/5120- 49/6144*alpha+37/1536*alpha^2-1/128*alpha^3-7/5120*alpha^5+1/512*alpha ^4)*J^5/(T^5)+(5/1536-23/768*alpha+1/512*alpha^2+5/1536*alpha^4-1/96*a lpha^3)*J^4/(T^4)+(1/96+1/128*alpha+1/96*alpha^3-1/32*alpha^2)*J^3/(T^ 3)+1/8*J^2*alpha/(T^2)+(-1/8-1/8*alpha)*J/T+1/4):" }}}{EXCHG {PARA 0 " > " 0 "" {MPLTEXT 1 0 1006 "fspecific_heat_ma:=(38993/1572864*alpha^8- 334433/110100480*alpha^10-420475/11010048*alpha^2-334433/110100480+593 05/2752512*alpha^3+92629/2752512*alpha+51701/1376256*alpha^5-1817/9175 04*alpha^7+27641/2752512*alpha^6-138811/2752512*alpha^4)*J^10/(T^10)+( 2613/573440*alpha-4303/688128+5901/81920*alpha^5+1/10240*alpha^3-2229/ 573440*alpha^7-2411/143360*alpha^6-261/286720*alpha^4-4303/688128*alph a^9+3855/57344*alpha^2)*J^9/(T^9)+(35/2048*alpha^4-407/61440*alpha^5+2 323/24576*alpha^2-59/960*alpha^3-2449/40960*alpha^6+1417/327680*alpha^ 8-4793/61440*alpha+1417/327680)*J^8/(T^8)+(-119/4096*alpha^2-245/8192* alpha^5+651/20480*alpha^4-2611/40960*alpha-413/4096*alpha^3+917/40960* alpha^7+917/40960)*J^7/(T^7)+(21/4096+105/1024*alpha^4+21/4096*alpha^6 -363/4096*alpha^2+17/512*alpha^3+63/512*alpha)*J^6/(T^6)+(15/128*alpha ^3-5/128*alpha^2-15/256*alpha^5-15/256+25/128*alpha)*J^5/(T^5)+(-3/32* alpha-15/256-3/32*alpha^2-15/256*alpha^4)*J^4/(T^4)+(-9/32*alpha+3/32* alpha^3+3/32)*J^3/(T^3)+(3/16*alpha^2+3/16)*J^2/(T^2):" }}}}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{MARK "0 0 0" 24 }{VIEWOPTS 1 1 0 1 1 1803 }