000 02848nam a22003618i 4500
001 CR9780511534843
003 UkCbUP
005 20200124160317.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 090429s2005||||enk o ||1 0|eng|d
020 _a9780511534843 (ebook)
020 _z9780521802628 (hardback)
020 _z9780521143943 (paperback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 0 4 _aQC176.8.E4
_bE77 2005
082 0 0 _a530.4/1
_222
100 1 _aEssler, Fabian H. L.,
_eauthor.
245 1 4 _aThe one-dimensional Hubbard model /
_cFabian H.L. Essler [and others].
264 1 _aCambridge :
_bCambridge University Press,
_c2005.
300 _a1 online resource (xv, 674 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
500 _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505 0 _aThe Hubbard Hamiltonian and its symmetries -- The Bethe ansatz solution -- String hypothesis -- Thermodynamics in the yang-yang approach -- Ground state properties in the thermodynamic limit -- Excited states at zero temperature -- Finite size corrections at zero temperature -- Asymptotics of correlation functions -- Scaling and continuum limits at half-filling -- Universal correlations at low density -- The algebraic approach to the Hubbard model -- The path integral approach to thermodynamics -- The Yangian symmetry of the Hubbard model -- S-matrix and Yangian symmetry in the infinite interval limit -- Hubbard model in the attractive case -- Mathematical appendices.
520 _aThe description of solids at a microscopic level is complex, involving the interaction of a huge number of its constituents, such as ions or electrons. It is impossible to solve the corresponding many-body problems analytically or numerically, although much insight can be gained from the analysis of simplified models. An important example is the Hubbard model, which describes interacting electrons in narrow energy bands, and which has been applied to problems as diverse as high-Tc superconductivity, band magnetism, and the metal-insulator transition. This 2005 book presents a coherent, self-contained account of the exact solution of the Hubbard model in one dimension. The early chapters will be accessible to beginning graduate students with a basic knowledge of quantum mechanics and statistical mechanics. The later chapters address more advanced topics, and are intended as a guide for researchers to some of the more topical results in the field of integrable models.
650 0 _aHubbard model.
650 0 _aQuantum theory.
650 0 _aStatistical mechanics.
776 0 8 _iPrint version:
_z9780521802628
856 4 0 _uhttps://doi.org/10.1017/CBO9780511534843
999 _c521534
_d521532