Quantum Phase Transitions
Describing the physical properties of quantum materials near critical points with long-range many-body quantum entanglement, this book introduces readers to the basic theory of quantum phases, their phase transitions and their observable properties. This second edition begins with a new section suit...
Uložené v:
| Hlavný autor: | |
|---|---|
| Médium: | E-kniha Kniha |
| Jazyk: | English |
| Vydavateľské údaje: |
Cambridge
Cambridge University Press
07.04.2011
|
| Vydanie: | 2 |
| Predmet: | |
| ISBN: | 9780521514682, 0521514681 |
| On-line prístup: | Získať plný text |
| Tagy: |
Pridať tag
Žiadne tagy, Buďte prvý, kto otaguje tento záznam!
|
| Abstract | Describing the physical properties of quantum materials near critical points with long-range many-body quantum entanglement, this book introduces readers to the basic theory of quantum phases, their phase transitions and their observable properties. This second edition begins with a new section suitable for an introductory course on quantum phase transitions, assuming no prior knowledge of quantum field theory. It also contains several new chapters to cover important recent advances, such as the Fermi gas near unitarity, Dirac fermions, Fermi liquids and their phase transitions, quantum magnetism, and solvable models obtained from string theory. After introducing the basic theory, it moves on to a detailed description of the canonical quantum-critical phase diagram at non-zero temperatures. Finally, a variety of more complex models are explored. This book is ideal for graduate students and researchers in condensed matter physics and particle and string theory. |
|---|---|
| AbstractList | Describing the physical properties of quantum materials near critical points with long-range many-body quantum entanglement, this book introduces readers to the basic theory of quantum phases, their phase transitions and their observable properties. This second edition begins with a new section suitable for an introductory course on quantum phase transitions, assuming no prior knowledge of quantum field theory. It also contains several new chapters to cover important recent advances, such as the Fermi gas near unitarity, Dirac fermions, Fermi liquids and their phase transitions, quantum magnetism, and solvable models obtained from string theory. After introducing the basic theory, it moves on to a detailed description of the canonical quantum-critical phase diagram at non-zero temperatures. Finally, a variety of more complex models are explored. This book is ideal for graduate students and researchers in condensed matter physics and particle and string theory. Describing the properties of quantum materials near critical points with long-range many-body quantum entanglement, this second edition is ideal for graduate students and researchers in condensed matter physics and particle and string theory. It contains a new introductory section on quantum phase transitions and several new chapters covering recent advances. |
| Author | Sachdev, Subir |
| Author_xml | – sequence: 1 givenname: Subir surname: Sachdev fullname: Sachdev, Subir organization: Harvard University, Massachusetts |
| BackLink | https://cir.nii.ac.jp/crid/1130282272103194880$$DView record in CiNii |
| BookMark | eNqNkUtLw0AQx1d8oNbe9eZBBA_RmX3v0QZfIKhQvIbNZqOxbaLZVL--W1MQFdE5zDDwm_nPY5us1U3tCdlFOEZAdZKObozSIBCNYkqKFTL8kq8uc4oCudR0nWxTQAABjOoNsqWoVIwrzjfJMIQniCaoQIlbZO9ubutuPtu_fbTB749bW4eqq5o67JD10k6DHy7jgNyfn43Ty-T65uIqPb1OrEQqTGILqktZMik954g0R0ONKLlToEHnYJkSWjpZOGMdL0Aqb6kp0ZUMC-qRDchR39iGiX8Lj820C9nr1OdNMwlZXAyRGckkwL9YUPEMceO_2c8DRvawZ5_b5mXuQ5d9YM7XXWun2dkolQY1Wwxw0IN1VWWuWvg4HlBNadQFhoZrDRFjPebsLG-r4sFnrmmX0gjZ4q3Z97fGquRHVd78zr8D7X2VMQ |
| ContentType | eBook Book |
| Copyright | S. Sachdev 2011 |
| Copyright_xml | – notice: S. Sachdev 2011 |
| DBID | RYH |
| DEWEY | 530.4/74 |
| DOI | 10.1017/CBO9780511973765 |
| DatabaseName | CiNii Complete |
| DatabaseTitleList | |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Physics |
| EISBN | 9780511973765 0511973764 1139079468 9781139079464 9781107215726 1107215722 9781139636001 1139636006 |
| Edition | 2 2nd Edition 2nd ed. Second edition. |
| ExternalDocumentID | 9781139636001 9781107215726 9780511973765 EBC691831 BB05650988 10_1017_CBO9780511973765 |
| GroupedDBID | -G2 -VX 089 20A 38. 92K A4J AAAAZ AABBV AAHFW ABARN ABESS ABMFC ABMRC ABZUC ACLGV ACNOG ADCGF ADQZK ADVEM AEDFS AERYV AEWAL AEWQY AGSJN AHAWV AIXPE AJFER AJXXZ ALMA_UNASSIGNED_HOLDINGS AMJDZ ANGWU ASYWF AZZ BBABE BFIBU BJUTA COBLI COXPH CZZ DUGUG EBSCA ECOWB FH2 GEOUK GMSEZ ICERG JJU MYL OLDIN OTBUH OZASK OZBHS PP- PQQKQ S3G SACVX SN- XI1 ZXKUE ABQPQ AHWGJ RYH EBACC |
| ID | FETCH-LOGICAL-a61259-ad28f6f366e44112b19295f4c70808b0a37586c6dc9ac4d067ea29f1cf31d2e13 |
| ISBN | 9780521514682 0521514681 |
| IngestDate | Fri Nov 08 05:06:04 EST 2024 Wed Aug 20 03:37:08 EDT 2025 Tue Jan 21 09:44:27 EST 2025 Wed Nov 26 05:33:37 EST 2025 Thu Jun 26 22:16:31 EDT 2025 Fri Feb 21 02:36:55 EST 2025 Wed Mar 12 03:54:44 EDT 2025 |
| IsPeerReviewed | false |
| IsScholarly | false |
| LCCN | 2010050328 |
| LCCallNum_Ident | QC175.16.P5 S23 2011 |
| Language | English |
| LinkModel | OpenURL |
| MergedId | FETCHMERGED-LOGICAL-a61259-ad28f6f366e44112b19295f4c70808b0a37586c6dc9ac4d067ea29f1cf31d2e13 |
| Notes | Includes bibliographical references (p. 479-495) and index |
| OCLC | 726734744 |
| PQID | EBC691831 |
| PageCount | 521 |
| ParticipantIDs | askewsholts_vlebooks_9781139636001 askewsholts_vlebooks_9781107215726 askewsholts_vlebooks_9780511973765 proquest_ebookcentral_EBC691831 nii_cinii_1130282272103194880 cambridge_corebooks_10_1017_CBO9780511973765 cambridge_cbo_10_1017_CBO9780511973765 |
| PublicationCentury | 2000 |
| PublicationDate | 20110407 2011 2011-05-16 2011-04-07 |
| PublicationDateYYYYMMDD | 2011-04-07 2011-01-01 2011-05-16 |
| PublicationDate_xml | – month: 04 year: 2011 text: 20110407 day: 07 |
| PublicationDecade | 2010 |
| PublicationPlace | Cambridge |
| PublicationPlace_xml | – name: Cambridge |
| PublicationYear | 2011 |
| Publisher | Cambridge University Press |
| Publisher_xml | – name: Cambridge University Press |
| SSID | ssj0000525161 ssib036182109 |
| Score | 2.574069 |
| Snippet | Describing the physical properties of quantum materials near critical points with long-range many-body quantum entanglement, this book introduces readers to... Describing the properties of quantum materials near critical points with long-range many-body quantum entanglement, this second edition is ideal for graduate... |
| SourceID | askewsholts proquest nii cambridge |
| SourceType | Aggregation Database Publisher |
| SubjectTerms | Phase transformations (Statistical physics) Quantum theory |
| TableOfContents | 12.3.2 Computation of chi u -- 12.3.3 Dynamics -- 12.4 Summary -- 13 The d = 2, O(N geq 3) rotor models -- 13.1 Low T on the magnetically ordered side, T < -- < -- rho s -- 13.1.1 Computation of xi c -- 13.1.2 Computation of tau phi -- 13.1.3 Structure of correlations -- Equal-time correlations -- Dynamic correlations -- 13.2 Dynamics of the quantum paramagnetic and high-T regions -- 13.2.1 Zero temperature -- 13.2.2 Nonzero temperatures -- 13.3 Summary -- 14 Physics close to and above the upper-critical dimension -- 14.1 Zero temperature -- 14.1.1 Tricritical crossovers -- 14.1.2 Field-theoretic renormalization group -- 14.2 Statics at nonzero temperatures -- 14.2.1 d< -- 3 -- 14.2.2 d> -- 3 -- 14.3 Order parameter dynamics in d = 2 -- 14.4 Applications and extensions -- 15 Transport in d = 2 -- 15.1 Perturbation theory -- 15.1.1 sigma I -- 15.1.2 sigma II -- 15.2 Collisionless transport equations -- 15.3 Collision-dominated transport -- 15.3.1 epsilon expansion -- 15.3.2 Large-N limit -- 15.4 Physical interpretation -- 15.5 The AdS/CFT correspondence -- 15.5.1 Exact results for quantum critical transport -- 15.5.2 Implications -- 15.6 Applications and extensions -- Part IV: Other models -- 16 Dilute Fermi and Bose gases -- 16.1 The quantum XX model -- 16.2 The dilute spinless Fermi gas -- 16.2.1 Dilute classical gas, kB T < -- < -- |mu|, mu < -- 0 -- 16.2.2 Fermi liquid, kB T < -- < -- mu, mu > -- 0 -- 16.2.3 High-T limit, kB T > -- > -- |mu| -- 16.3 The dilute Bose gas -- 16.3.1 d < -- 2 -- 16.3.2 d = 3 -- 16.3.3 Correlators of ZB in d = 1 -- Dilute classical gas,… -- Tomonaga-Luttinger liquid,… -- High-T limit,… -- Summary -- 16.4 The dilute spinful Fermi gas: the Feshbach resonance -- 16.4.1 The Fermi-Bose model -- 16.4.2 Large-N expansion -- 16.5 Applications and extensions -- 17 Phase transitions of Dirac fermions 21.1 Stability of quantum critical points in disordered systems -- 21.2 Griffiths-McCoy singularities -- 21.3 Perturbative field-theoretic analysis -- 21.4 Metallic systems -- 21.5 Quantum Ising models near the percolation transition -- 21.5.1 Percolation theory -- 21.5.2 Classical dilute Ising models -- 21.5.3 Quantum dilute Ising models -- 21.6 The disordered quantum Ising chain -- 21.7 Discussion -- 21.8 Applications and extensions -- 22 Quantum spin glasses -- 22.1 The effective action -- 22.1.1 Metallic systems -- 22.2 Mean-field theory -- 22.3 Applications and extensions -- References -- Index 7.1.1 Structure factor -- 7.1.2 Linear response -- 7.2 Correlations across the quantum critical point -- 7.2.1 Paramagnet -- 7.2.2 Quantum critical point -- 7.2.3 Magnetic order -- Exercises -- 8 Broken symmetries -- 8.1 Discrete symmetry and surface tension -- 8.2 Continuous symmetry and the helicity modulus -- 8.2.1 Order parameter correlations -- 8.3 The London equation and the superfluid density -- 8.3.1 The rotor model -- Exercises -- 9 Boson Hubbard model -- 9.1 Mean-field theory -- 9.2 Coherent state path integral -- 9.2.1 Boson coherent states -- 9.3 Continuum quantum field theories -- Exercises -- Part III: Nonzero temperatures -- 10 The Ising chain in a transverse field -- 10.1 Exact spectrum -- 10.2 Continuum theory and scaling transformations -- 10.3 Equal-time correlations of the order parameter -- 10.4 Finite temperature crossovers -- 10.4.1 Low T on the magnetically ordered side,… -- 10.4.2 Low T on the quantum paramagnetic side,… -- 10.4.3 Continuum high T, T > -- > -- |Delta| -- 10.4.4 Summary -- 11 Quantum rotor models: large-N limit -- 11.1 Continuum theory and large-N limit -- 11.2 Zero temperature -- 11.2.1 Quantum paramagnet, g> -- gc -- 11.2.2 Critical point, g=gc -- 11.2.3 Magnetically ordered ground state, g < -- gc -- 11.3 Nonzero temperatures -- 11.3.1 Low T on the quantum paramagnetic side, g > -- gc , T < -- < -- Delta+ -- 11.3.2 High T, T > -- > -- Delta+, Delta- -- 11.3.3 Low T on the magnetically ordered side, g < -- gc, T < -- < -- Delta- -- 11.4 Numerical studies -- 12 The d = 1, O(N geq 3) rotor models -- 12.1 Scaling analysis at zero temperature -- 12.2 Low-temperature limit of the continuum theory, T < -- < -- Delta+ -- 12.3 High-temperature limit of the continuum theory, Delta+ < -- < -- T < -- < -- J -- 12.3.1 Field-theoretic renormalization group Cover -- Half-title -- Title -- Copyright -- Dedication -- Contents -- From the Preface to the first edition -- Acknowledgments -- Preface to the second edition -- Acknowledgments -- Part I: Introduction -- 1 Basic concepts -- 1.1 What is a quantum phase transition? -- 1.2 Nonzero temperature transitions and crossovers -- 1.3 Experimental examples -- 1.4 Theoretical models -- 1.4.1 Quantum Ising model -- 1.4.2 Quantum rotor model -- 1.4.3 Physical realizations of quantum rotors -- 2 Overview -- 2.1 Quantum field theories -- 2.2 What's different about quantum transitions? -- Part II: A first course -- 3 Classical phase transitions -- 3.1 Mean-field theory -- 3.2 Landau theory -- 3.3 Fluctuations and perturbation theory -- 3.3.1 Gaussian integrals -- 3.3.2 Expansion for susceptibility -- Exercises -- 4 The renormalization group -- 4.1 Gaussian theory -- 4.2 Momentum shell RG -- 4.3 Field renormalization -- 4.4 Correlation functions -- Exercises -- 5 The quantum Ising model -- 5.1 Effective Hamiltonian method -- 5.2 Large-g expansion -- 5.2.1 One-particle states -- 5.2.2 Two-particle states -- 5.3 Small-g expansion -- 5.3.1 d=2 -- 5.3.2 d=1 -- 5.4 Review -- 5.5 The classical Ising chain -- 5.5.1 The scaling limit -- 5.5.2 Universality -- 5.5.3 Mapping to a quantum model: Ising spin in a transverse field -- 5.6 Mapping of the quantum Ising chain to a classical Ising model -- Exercises -- 6 The quantum rotor model -- 6.1 Large-g expansion -- 6.2 Small-g expansion -- 6.3 The classical XY chain and an O(2) quantum rotor -- 6.4 The classical Heisenberg chain and an O(3) quantum rotor -- 6.5 Mapping to classical field theories -- 6.6 Spectrum of quantum field theory -- 6.6.1 Paramagnet -- 6.6.2 Quantum critical point -- 6.6.3 Magnetic order -- Exercises -- 7 Correlations, susceptibilities, and the quantum critical point -- 7.1 Spectral representation 17.1 d-wave superconductivity and Dirac fermions -- 17.2 Time-reversal symmetry breaking -- 17.3 Field theory and RG analysis -- 17.4 Ising-nematic ordering -- 18 Fermi liquids, and their phase transitions -- 18.1 Fermi liquid theory -- 18.1.1 Independence of choice of vec K0 -- 18.2 Ising-nematic ordering -- 18.2.1 Hertz theory -- 18.2.2 Fate of the fermions -- 18.2.3 Non-Fermi liquid criticality in d = 2 -- Scaling theory -- 18.3 Spin density wave order -- 18.3.1 Mean-field theory -- 18.3.2 Continuum theory -- 18.3.3 Hertz theory -- 18.3.4 Fate of the fermions -- 18.3.5 Critical theory in d = 2 -- 18.4 Nonzero temperature crossovers -- 18.5 Applications and extensions -- 19 Heisenberg spins: ferromagnets and antiferromagnets -- 19.1 Coherent state path integral -- 19.2 Quantized ferromagnets -- 19.3 Antiferromagnets -- 19.3.1 Collinear antiferromagnetism and the quantum nonlinear sigma model -- 19.3.2 Collinear antiferromagnetism in d = 1 -- 19.3.3 Collinear antiferromagnetism in d = 2 -- Antiferromagnets without Berry phases -- Berry phases and valence bond solid order -- 19.3.4 Noncollinear antiferromagnetism in d = 2: deconfined spinons and visons -- 19.3.5 Deconfined criticality -- 19.4 Partial polarization and canted states -- 19.4.1 Quantum paramagnet -- 19.4.2 Quantized ferromagnets -- 19.4.3 Canted and Néel states -- 19.4.4 Zero temperature critical properties -- 19.5 Applications and extensions -- 20 Spin chains: bosonization -- 20.1 The XX chain revisited: bosonization -- 20.2 Phases of H12 -- 20.2.1 Sine-Gordon model -- 20.2.2 Tomonaga-Luttinger liquid -- 20.2.3 Valence bond solid order -- 20.2.4 Néel order -- 20.2.5 Models with SU(2) (Heisenberg) symmetry -- 20.2.6 Critical properties near phase boundaries -- 20.3 O(2) rotor model in d = 1 -- 20.4 Applications and extensions -- 21 Magnetic ordering transitions of disordered systems |
| Title | Quantum Phase Transitions |
| URI | http://dx.doi.org/10.1017/CBO9780511973765 https://doi.org/10.1017/CBO9780511973765?locatt=mode:legacy https://cir.nii.ac.jp/crid/1130282272103194880 https://ebookcentral.proquest.com/lib/[SITE_ID]/detail.action?docID=691831 https://www.vlebooks.com/vleweb/product/openreader?id=none&isbn=9780511973765 https://www.vlebooks.com/vleweb/product/openreader?id=none&isbn=9781107215726&uid=none https://www.vlebooks.com/vleweb/product/openreader?id=none&isbn=9781139636001&uid=none |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| link | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwtV3dT9swED9BYRI8Ddi0MBgVQrxApNhJHPu1VTckEPAAiLfIdhwRbUtRUxB_PmfXC6F8THvYi9Vap0tyF939Lr4PgL2yYBKNo8HYhMdhwnQWKmlYqFMiS8plKrQrFD7JTk_59bU495OaGjdOIKtr_vAgbv-rqnEPlW1LZ_9B3S1T3MDfqHRcUe24ziHi9m_bDgMdyO-D2xv0THb2Q-3zsdqvKFLfFMjOJeOoatKN-F3dWzfif7WYq5uwMYsNbVVuagur6KuWctZeaTg4c6T2MBFNTfrkFdpcvcEAMRLCCs4XYRGDkx4s_RidXR63X7LsJDzEjb4Q2F2S-NZG7S34A2LbrHv-kquwKpufaNHR2k-bbosLdPd1Vb1wks7zX3yEnq0GWYMFU6_DB5cvq5sNCLyw-07Y_Y6wP8HV99HF8Cj0UyZCadGdCGVBecnKmDGD2JBQhaBXpGWiM0TTXEUyxpiKaVZoIXVSoHs3koqS6DImBTUk_gy9elybL9A3uGVKGrFImUSqREZGIYXiLJWGGhrAbudZ8_tf7kS8yZ8J5B0iG6yjSDPK3iWKhe0CF5EA9lth5lqN81lKX5bP6yCAww7heOKZvU2-jYrJdWVXYo--EWbijdmKOOsQAtj5o7LcsfKJxvloMGQCnQjZ_AuHr7Dy9OZvQW86uTPbsKzvp1Uz-ebfwEdLSUv8 |
| linkProvider | ProQuest Ebooks |
| openUrl | ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.title=Quantum+phase+transitions&rft.au=Sachdev%2C+Subir&rft.date=2011-01-01&rft.pub=Cambridge+University+Press&rft.isbn=9780521514682&rft_id=info:doi/10.1017%2FCBO9780511973765&rft.externalDocID=BB05650988 |
| thumbnail_m | http://cvtisr.summon.serialssolutions.com/2.0.0/image/custom?url=https%3A%2F%2Fassets.cambridge.org%2F97805215%2F14682%2Fcover%2F9780521514682.jpg http://cvtisr.summon.serialssolutions.com/2.0.0/image/custom?url=https%3A%2F%2Fvle.dmmserver.com%2Fmedia%2F640%2F97805119%2F9780511973765.jpg http://cvtisr.summon.serialssolutions.com/2.0.0/image/custom?url=https%3A%2F%2Fvle.dmmserver.com%2Fmedia%2F640%2F97811072%2F9781107215726.jpg http://cvtisr.summon.serialssolutions.com/2.0.0/image/custom?url=https%3A%2F%2Fvle.dmmserver.com%2Fmedia%2F640%2F97811396%2F9781139636001.jpg |