Bethe Ansatz Solvability, Correlated Hopping, and the Connection to ...
Bethe Ansatz Solvability, Correlated Hopping, and the Connection to ...
Bethe Ansatz Solvability, Correlated Hopping, and the Connection to ...
Create successful ePaper yourself
Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.
ƒ –=WpoxN m Z@LOfMokcm W<br />
f m WOZOLOf°oxcuŠ>c…o=•”Ù WOZ¡oxgO\©„€NxÙ fMoxcm<br />
¢<br />
à´—yx lNyRj§nµs<br />
vs§wZx ngyzpj²UDNT\nU”NT\úUDSuceKúU|oxcm W m vÁÙ W„• m WO]tUDW@Z}oxgO\°•}\MWpox\bNqa m ZO\bSu]²okg€Ù oqÙ ceaèÙ ô U”ZO\b]TfbNTct@okcm W<br />
W€UDS†÷¦LOUDWpoxLOa[âIë{UDSeS„P3¨B\bfMoR„^„Þ²†k÷¦ë^P³†_~ü¤€\á§<br />
ë{cuXYgGâg|e±2ùGL-F\bNkf m WOZOL@fMoxc…Š>cuo=•+~ŽGá§g\"ŒOL@õ U¥€UDNk\MWpoxSu• stc…oxg m LGo”\Z¦F\bNTcead\bWpohÙ SÀ\°ŠGcuZO\bW@fb\—L-<br />
]kcm We\DokgO\qNk\M]k\Ma¡ŒOSVÙ WOfb\qo m Ù W„• m WOcufqŒB\Mg€UúŠGcm N6cu]gO\bNT\qNk\MvÕ\MNkNT\bZ˜o m UD]‚· sps§w[ž¥rn¢zs«¹¸&ºcªšžp€s<br />
a m ZO\MSó]Tg m LOSuZ;f m WpohUDcuW¥f m NTNk\MSVÙ ok\bZ g m-@ceWOXœcuWO]Tok\úUDZà5–ãõ g€UD][ŒF\b\bW UDNTXYLO\bZ cuWXFQ\°vIàŠ~ŽS4S<br />
½ \_€WOZ˜oxg€Ù o²US€UDNTovÕN m a*vÕ\°s+\Z¦@fM\]@okcm W@]\>f m NTNk\bSeÙ ox\MZ[g m-@ceWOXçUD]sÀ\bSeSOUD]ÀiçP²ù¡ce]W m oo m Sâ<br />
m vqokgO\—Á÷¦ë^P~Ž`\3454i à‚ m N”] m aû\doxcead\¥\"UDWp• m W@]˜UDNk\—Ù Se] m ]TokLOZOce\MZ¥ceW f m WOWO\MfMokcm W5stc…oxg<br />
o m W m sjà<br />
’qgO\éUDWp• m W@cefça m ZO\bSu]ˆvm NqoxgO\éÁ÷¦ë^P+XpUúŠY\éUDSu] m Uda m oxc…Š`Ù oxcm W}o m ]TokLOZ@• m WO\‘â=ZOcuaû\MWO]kcm W€UDS<br />
vÕNxÙ fMoxcm W€UDS"]TohU|oxce]oxcufb]böçNk\°vÕ\bNTNkceW@XÆo m okgO\df m WOZ@LOfMoxUDWOfb\MOSVU|ox\úÙ LO]jceW oxgO\„²†T÷¦ë^P\oxgO\dZ@•pâ<br />
W€UDadcefM] m v<strong>to</strong>kgO\—\bZOXD\—fbLONTNk\bWpõ cuW oxgO\Sm só\M]TodUDWOZ€Ù L;Su\MŠD\bSógOUD][ŒB\M\bW ]kg m stW o m ŒF\ m W@\°â<br />
ZOcuaû\MWO]kcm W€UDSf\¥ONT\b]k\MNTŠ>ceW@Xéoxg@\tvÕ\bÙ oxL@Nk\b] m vUDWp• m W@ceft]ToxÙ oxcu]Toxcufb]Œ m NkW@\QŒp•[okgO\ŠŽ>LOUD]kc£€UDNoxcufbSe\M]<br />
ceWo=s m ZOcuaû\MWO]kcm WO]MàœªóL@o[]TceWOfM\]TokNkcufMoxS…•]^F\úUD_„ceW@X‚W m UDWp• m WO][fúUDW¥\Z¦Gce]To¡ceW m W@\}ZOcuaû\MWGâ<br />
»gž¥ntjngªuj#„içP²ù-†‘à‡ijPÀùnfbUDWçUDSe] m \bad\bNkXD\6vÕN m a8ceWpox\MNxUDf°oxcm WO]stgOcefhgçUDNT\ŒB\MceWOXqcuaM@Se\bad\bWpok\bZ<br />
\¨B\bf°oxc…ŠY\bS…•YàR’qgO\jëQLOŒOŒ€UDNTZ¬a m ZO\bSFvm Nˆ\§¦@UDaYOSu\¥\Of m L-OSu\bZ—o m Og m W m WGâãSecu_D\nZO\MXYNk\M\b] m vvÕNk\M\°â<br />
Z m a cuWéox\MNkad] m v€g€UDNTa m W@cef m ]kfMceSeSeÙ o m Nk]\‡fbUDW¡ŒF\²okNxUDWO]Ta¡L@ok\bZ˜U¥-@N m¦GceaûÙ ox\MSu•no m cuok] m NkceXDceW€UDS<br />
vm NTa£stgO\bWé\§¦cONT\b]k]T\bZ[cuWçok\bNkad] m v-OUDNTokcefbSu\b] m ŒF\M•>cuWOX{XD\bWO\MNxUDSuceKb\MZé\Z¦Gfhg€UDWOXY\²]ToxÙ oxcu]Tokcefb]—~Œ¤@á]à<br />
ùGcuWOfb\QoxgO\ m WO\°âãZOcead\bWO]Tcm WOUDSFë{LOŒOŒOUDNkZ—a m Z@\bSƒce]À\§¦@UDfMokSu•û] m S…Š`UDŒOSe\S\poxgO\©Ž„LO\M]Tokcm WÆUDNTce]T\b]\@UD]<br />
o m stg€Ù o"\§¦>ox\MW„oR] m SuŠ`UDŒ@ceSec…o=•ncu],]T\bWO]Tcuoxc…ŠY\óo m a m Z@c€fbÙ oxcm WO] m vOokgO\P€Ù NToxcufbSu\b]Ÿ‡]ohÙ okce]TokcefM]bà"’qg@ce]<br />
ce] m WO\jfb\bWpokNxUDS:Ž„LO\M]Toxcm WÆstgOcefhgÆstceSuSŒB\jÙ ZOZONk\M]k]T\bZ‚cuWÆokgOce]ˆokgO\b]Tce]Mà<br />
’qgO\²]k\Mf m WOZ Ž>L@\b]Tokcm W”UDcead] m W”UDW m okgO\bNvÕ\úÙ okLONk\ m v@oxgO\Rä^ä¦æûUDWOZ”ë{LOŒ@Œ€UDNkZéa m ZO\MSg{|W€UDad\bSu•<br />
oxgOÙ onoxg@\[g m-OcuWOX—UDaYOSucuoxL@ZO\”cu] pªuyw§w•s§raž¥ms«Dàj’qgOce]¦gO\MNk\[cu]¦U]T•>W m Wp•>a(vm N1DTW m o¦ŒF\bcuWOX<br />
ceWc‘€LO\bW@fb\bZ¬Œp•yokgO\‚ONk\M]k\MWOfb\ m v"oxg@\ m okgO\bNŠ€Ù NToxcufbSu\b]^E@àÀ–=W m NkZO\MNqo m ŒF\ja m Nk\jNk\bUDSecu]Toxcuf¥\@okgO\<br />
oxgOÙ oçf m NTNk\bSeÙ ox\MZg m-OcuWOX¬cu]çUDSe] m W@\b\bZ@\bZ5o m cuWOf m N[ m NxÙ ok\d]TL-F\bNkf m WOZOL@fMoxc…Š>cuo=•Yà—ùGceWOfM\dokgO\<br />
\bSu\bf°oxN m WO]”g€UúŠD\—fhg€UDNkXD\—UDWOZ ][OceW\ m WO\ûf m LOSuZ ceaûUDXYcuWO\[oxg€U|oéokgO\g mOceWOX7ce]éUS¨±\MfMok\bZ¥Œp•<br />
aûUDXYWO\°oxcef$€\MSeZO]¼ON m ZOL@fb\bZ5Œ„•oxg@\M€Ù NToxcufbSu\b]joxgO\Maû]T\bSuŠD\b]éceW5f m SeSu\bf°oxceW@X¬U Og€UD]T\Dà¬ù m okgO\<br />
]k\Mf m W@Z®Ž„LO\b]oxcm W¥U¥-ON m UDfhgO\MZ ceWoxgOcu]çs m NT_Ù Nkce]T\b]Mö”stgO\MokgO\bNéoxgO\û\§¦@UDfMo”] m S…Š`UDŒOceSucuo=• m vtU<br />
a m ZO\MSfúÙ W¬ŒF\¹ONk\M]k\MNTŠY\MZœÙ vwok\bNt]kLOfhg7U[a m ZOcOfúÙ okcm W m v,okgO\bcuNq_>cuWO\Mokcef¹€Ù NToúà<br />
’qgO\ m L@oxSuceWO\ m v6okgOce]<strong>to</strong>xg@\b]kcu]nce]{UD]Qvm SeSm st]Màq–=W7oxg@\”WO\Z¦Gonfhg€U¥@ok\bN]\FoxgO\éä^äjæUDWOZ7okgO\¡ëQLOŒGâ<br />
Œ€UDNTZ¥a m ZO\MS²stcuSeS²ŒB\cuWpoxN m ZOLOfM\bZà ’qgO\ok\bfhgOW@ctŽ„LO\ m vQf m>m NkZ@ceW€Ù ok\ªó\°oxgO\ÆÙ WO]xÙ okK}stceSuSÀŒF\<br />
ONT\b]k\MWpox\bZ vm NçokgO\ûä{äjæ2UDW@Zoxg@\}ëQLOŒOŒ€UDNTZ a m ZO\MSRceWfhg€U¥@ok\bN ñ\& m ceWpoxcuWOX m L@o”UDSeNT\úUDZG•<br />
stgO\MNk\¡a m Z@c€fbÙ oxcm WO] m v6okgO\”\Z¦Gfhg€UDWOXY\”]TohU|oxce]oxcufb]Q\bWpox\MNbà^ùG\MŠD\bNxÙ S6U¥-@N m UDfhg@\b] m v6XY\bWO\MNxUDSâ<br />
ceKMceWOX—okgO\û]ohÙ okce]oxcefM] m v_€Ù NToxcufbSu\b]nstceSuS6ŒF\MONT\b]T\bWpox\MZ¥ceW fhg€U¥@ok\bNéü¬cuW m NTZO\bN¦o m aûUDNk_ m LON<br />
m ]kc…oxcm W—ceWoxg@\D]TohU|oxce]oxcufb]qK m>mEOà<br />
’qgO\ˆaûUDcuW”W m ŠY\MSONk\M]kLOS…ox]"UDNk\_@Nk\b]T\bWpox\MZ˜ceW¡fhg€US@ox\MNk]²ôq~ à"’qgO\qªÀ\Moxg@\qUDWO]kÙ oxKóvm N&€UDNoxcufbSe\M]<br />
stcuokg}XY\MWO\bNkUDSecuKb\MZ\§¦Gfhg€UDW@XY\n]ToxÙ oxcu]Tokcefb]Àce]²ceWpoxN m Z@LOfb\MZ—ceW}fhgOU¥@ox\MNtôGà6’qg@\¦ªó\MokgO\n\Ž>LOÙ oxcm WO]<br />
UDWOZÆoxg@\ > aûÙ oxNTca¦—UDNk\ m Œ@oxUDceW@\bZÆvm NqoxgO\ça m ZOca€\bZ—ä^ä¦æ5UDWOZ¬ë{L@ŒOŒ€UDNTZ7a m ZO\MS àóò m WOWO\Mf°â<br />
oxcm WO]Ro m o=stce]Tok\bZ—Œ m LOWOZOUDNT•df m WOZOcuokcm W@]\„f m NTNk\MSVÙ ok\bZg m-OceW@X¡UDWOZ}a}UDXDWO\Mokcef€\bSuZO]ˆUS-B\bUDN<br />
ceWÆf m aMOUDNkcu] m Wstc…oxg FQ\°vÕ]bà.~Œ¤Yý\áÏDc\áÏ`ü¥ à<br />
\bNkÙ ox\MZ}Œp•˜ZOcuNk\bf°o²f m>m NkZOcuW€Ù ok\{ªÀ\Moxg@\^UDW@]xÙ okKDà–=W˜vÞUDfMo]\„okgO\QZOceNT\bfMoóU¥-@SecefbÙ oxcm W m vBoxgO\{ªó\°oxgO\<br />
UDWO]kÙ oxK¦]Tg€UDN[OSu•}Nk\b]oxNTcefMok]ˆoxgO\no m Se\MNxUDŒ@Se\^a m ZOc€fbÙ oxcm WO] m v,U¡a m ZO\bSà6’qgOcu]qfúUDWÆg m sÀ\MŠY\MN{ŒF\<br />
m ŠY\MNkf m aû\Œp•5W m o[]oxLOZ@•>cuWOX‚oxgO\ë^UDadceS…o m WOceUDW cuok]k\bS…vµ\"ŒOLGo[ceWO]ox\bUDZ UDSeSRLOW@cuohÙ NT•oxNxÙ WO]Tvm NIâ