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ОбложкаHolographic duality in condensed matter physics / J.Zaanen et al. - Cambridge: Cambridge university press, 2015. - xi, 573 p.: ill. - Bibliogr.: p.543-569. - Ind.: p.570-573. - ISBN 978-1-107-08008-9
Шифр: (И/В36-H75) 02
 

Место хранения: 02 | Отделение ГПНТБ СО РАН | Новосибирск

Оглавление / Contents
 
Preface ........................................................ ix

1  Introduction ................................................. 1
   1.1  A tour guide of holographiс matter ...................... 1
   1.2  The AdS/CFT correspondence: unifying the theories of
        physics ................................................. 3
   1.3  AdS/CFT, the gеomеtrisation of the renormalisation
        group and the quantum critical state .................... 6
   1.4  Holographic duality and the nature of matter ........... 18
   1.5  Holography, condensed matter physics and quantum
        information ............................................ 27
2  Condensed matter: the charted territory ..................... 32
   2.1  Quantum field theory in condensed matter: the
        fluctuating order of bosons ............................ 34
   2.2  Quantum matter: when entanglement becomes macroscopic .. 51
   2.3  The remarkable Fermi liquid ............................ 57
   2.4  The mean-field instabilities of the fermion system:
        BCS and beyond ......................................... 64
   2.5  The Hertz-Millis model and the critical Fermi surface .. 69
3  Condensed matter: the challenges ............................ 73
   3.1  The repertoire of strongly correlated electron models .. 76
   3.2  Mottness, non-Fermi liquids and RVB superconductivity .. 79
   3.3  Unconventional superconductivity by weak repulsive
        interactions ........................................... 88
   3.4  Numerical machinery I: the density-matrix
        renormalisation group and tensor-product states ........ 90
   3.5  Numerical machinery II: infinitely many dimensions
        and the dynamical mean-field theory .................... 92
   3.6  Quantum matter in the laboratory ....................... 94
4  Large-TV field theories for holography and condensed
   matter ..................................................... 105
   4.1  A short history of the holographic principle, black
        holes, string theory and the origins of the AdS/CFT
        correspondence ........................................ 106
   4.2  Yang-Mills as a matrix field theory and the ultimate
        mean field at large-N ................................. 118
   4.3  The master formulation of large-/V matrix models and
        string theory ......................................... 130
   4.4  The AdS/CFT correspondence is a field-theory/gravity
        duality ............................................... 139
5  The AdS/CFT correspondence as computational device: the
   dictionary ................................................. 151
   5.1  The GKPW rule in action: computing correlation
        functions ............................................. 154
   5.2  Correlations, scaling and RG flows .................... 165
   5.3  The identification of symmetries and the dictionary
        table ................................................. 172
6  Finite-temperature magic: black holes and holographic
   thermodynamics ............................................. 176
   6.1  Black holes in the bulk and finite temperature in the
        boundary .............................................. 178
   6.2  Holographic thermodynamics: the Hawking-Page
        transition ............................................ 193
   6.3  A brief introduction to AdS/QCD ....................... 205
   6.4  The GKPW rule at finite temperature: thermal
        correlation functions and the Schwinger-Keldysh
        formalism ............................................. 213
7  Holographic hydrodynamics .................................. 222
   7.1  Quantum criticality and the minimal viscosity ......... 226
   7.2  Deriving the Navier-Stokes fluid from the bulk
        dynamical gravity ..................................... 238
   7.3  The conductivity: conserved currents as photons in
        the bulk .............................................. 243
   7.4  Hydrodynamics and quantum anomalies ................... 253
8  Finite density: the Reissner-Nordstrцm black hole and
   strange metals ............................................. 259
   8.1  The Reissner-Nordstrцm strange metal .................. 261
   8.2  The AdS2 near-horizon geometry and the emergent
        local quantum criticality ............................. 267
   8.3  The zero sound and conductivity of the RN metal in
        the Galilean continuum ................................ 271
   8.4  The scaling atlas of emergent holographic quantum
        critical phases ....................................... 281
9  Holographie photoemission and the RN metal: the fermions
   as probes .................................................. 291
   9.1  The holographie encoding of fermions .................. 294
   9.2  The discovery of the holographie Fermi surfaces ....... 304
   9.3  Computing fermion spectral functions: Schrцdinger
        potentials and the matching method .................... 312
   9.4  The physics of the holographic fermions: confinement,
        semi-holography and black-hole stability .............. 323
10 Holographic superconductivity .............................. 328
   10.1 The black hole in AdS with scalar hair ................ 330
   10.2 The phenomenology of holographic superconductivity .... 340
   10.3 Observing the origin of Tc: the pair susceptibility
        of the strange metal .................................. 355
   10.4 The phase diagram of holographic superconductivity .... 362
   10.5 The zero-temperature states of holographic
        superconductors ....................................... 368
11 Holographic Fermi liquids: the stable Fermi liquid and
   the electron star as holographic dual ...................... 377
   11.1 The cohesive Landau Fermi liquid from hard-wall
        holography ............................................ 381
   11.2 The electron star as the dual of holographic
        fermions .............................................. 390
   11.3 The landscape of holographic Fermi liquids: radial
        re-quantisation and instabilities ..................... 403
12 Breaking translational invariance .......................... 417
   12.1 Transport and un-particle physics: the memory-matrix
        formalism ............................................. 420
   12.2 Periodic potentials in holographic superconductors
        and the optical conductivity .......................... 432
   12.3 Lattice potentials and the fermion spectral
        functions of the Reissner-Nordström metal ............. 437
   12.4 Unidirectional potentials becoming strong:
        Bianchi VII geometry and the quantum smectic .......... 442
   12.5 The dual of translational-symmetry breaking as
        gravity with a mass ................................... 452
   12.6 Holographic crystallisation: the spontaneous
        breaking of translational symmetry .................... 463
13 AdS/CMT from the top down .................................. 470
   13.1 Top-down AdS/CMT models from supergravity ............. 472
   13.2 Probe-brane holography from Dp/Dg-brane
        intersections ......................................... 483
14 Outlook: holography and quantum matter ..................... 504
   14.1 The UHOs: the unidentified holographic objects ........ 505
   14.2 Is holographic matter extreme quantum matter? ......... 511
   14.3 The final message for condensed matter ................ 540

References .................................................... 543
Index ......................................................... 570

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