Frustrated spin systems / (Record no. 43962)
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| fixed length control field | 17860cam a2200301 i 4500 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | CUTN |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20250124144126.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 130226t20132013njua b 001 0 eng |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9789814440738 (hardcover : alk. paper) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9814440736 (hardcover : alk. paper) |
| 041 ## - LANGUAGE CODE | |
| Language | English |
| 042 ## - AUTHENTICATION CODE | |
| Authentication code | pcc |
| 082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 531.34 |
| Edition number | 23 |
| Item number | DIE |
| 245 00 - TITLE STATEMENT | |
| Title | Frustrated spin systems / |
| Statement of responsibility, etc | H.T. Diep, University of Cergy-Pontoise, France, editor. |
| 250 ## - EDITION STATEMENT | |
| Edition statement | 2nd edition. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | xxv, 617 pages : |
| Other physical details | illustrations (some color) ; |
| Dimensions | 24 cm |
| 505 ## - FORMATTED CONTENTS NOTE | |
| Title | Cover<br/>Halftitle<br/>Title<br/>Copyright<br/>Preface of the Second Edition<br/>Preface of the First Edition<br/>1. Frustration — Exactly Solved Frustrated Models<br/>H. T. Diep and H. Giacomini<br/>1.1 Frustration: An Introduction<br/>1.1.1 Definition<br/>1.1.2 Non-collinear spin configurations<br/>1.2 Frustrated Ising spin systems<br/>1.3 Mapping between Ising models and vertex models<br/>1.3.1 The 16-vertex model<br/>1.3.2 The 32-vertex model<br/>1.3.3 Disorder solutions for two-dimensional Ising models<br/>1.4 Reentrance in exactly solved frustrated Ising spin systems<br/>1.4.1 Centered square lattice<br/>1.4.1.1 Phase diagram<br/>1.4.1.2 Nature of ordering and disorder solutions<br/>1.4.2 Kagomé lattice<br/>1.4.2.1 Model with nn and nnn interactions<br/>1.4.2.2 Generalized Kagomé lattice<br/>1.4.3 Centered honeycomb lattice<br/>1.4.4 Periodically dilute centered square lattices<br/>1.4.4.1 Model with three centers<br/>1.4.4.2 Model with two adjacent centers<br/>1.4.4.3 Model with one center<br/>1.4.5 Random-field aspects of the models<br/>1.5 Evidence of partial disorder and reentrance in other frustrated systems<br/>1.6 Conclusion<br/>Acknowledgements<br/>References<br/>2. Properties and Phase Transitions in Frustrated Ising Systems<br/>Ojiro Nagai, Tsuyoshi Horiguchi and Seiji Miyashita<br/>2.1 Introduction<br/>2.2 Ising model on two-dimensional frustrated lattice and on stacked frustrated lattice<br/>2.3 Ising model on antiferromagnetic triangular lattice<br/>2.4 Ising model on stacked antiferromagnetic triangular lattice<br/>2.5 Ising model with large S on antiferromagnetic triangular lattice<br/>2.6 Ising model with infinite-spin on antiferromagnetic triangular lattice<br/>2.7 Ising-like Heisenberg model on antiferromagnetic triangular lattice<br/>2.8 Ising model with infinite-spin on stacked antiferromagnetic triangular lattice<br/>2.9 Phase diagram in spin-magnitude versus temperature for Ising models with spin S on stacked antiferromagnetic triangular lattice<br/>2.10 Effect of antiferromagnetic interaction between next-nearest-neighbor spins in xy-plane<br/>2.11 Three-dimensional Ising paramagnet<br/>2.12 Concluding remarks<br/>Acknowledgements<br/>References<br/>3. Renormalization Group Approaches to Frustrated Magnets in D=3<br/>B. Delamotte, D. Mouhanna and M. Tissier<br/>3.1 Introduction<br/>3.2 The STA model and generalization<br/>3.2.1 The lattice model, its continuum limit and symmetries<br/>3.2.2 The Heisenberg case<br/>3.2.3 The XY case<br/>3.2.4 Generalization<br/>3.3 Experimental and numerical situations<br/>3.3.1 The XY systems<br/>3.3.1.1 The experimental situation<br/>3.3.1.2 The numerical situation<br/>3.3.1.3 Summary<br/>3.3.2 The Heisenberg systems<br/>3.3.2.1 The experimental situation<br/>3.3.2.2 The numerical situation<br/>3.3.2.3 Summary<br/>3.3.3 The N = 6 STA<br/>3.3.4 Conclusion<br/>3.4 A brief chronological survey of the theoretical approaches<br/>3.5 The perturbative situation<br/>3.5.1 The Nonlinear Sigma (NLσ) model approach<br/>3.5.2 The Ginzburg-Landau-Wilson (GLW) model approach<br/>3.5.2.1 The RG flow<br/>3.5.2.2 The three and five-loop results in d = 4 − ε<br/>3.5.2.3 The improved three and five-loop results<br/>3.5.2.4 The three-loop results in d = 3<br/>3.5.2.5 The large-N results<br/>3.5.2.6 The six-loop results in d = 3<br/>3.5.3 The six-loop results in d = 3 re-examined<br/>3.5.3.1 Conclusion<br/>3.6 The effective average action method<br/>3.6.1 The effective average action equation<br/>3.6.2 Properties<br/>3.6.3 Truncations<br/>3.6.4 Principle of the calculation<br/>3.6.5 The 0(N) × 0(2) model<br/>3.6.5.1 The flow equations<br/>3.6.6 Tests of the method and first results<br/>3.6.7 The physics in d = 3 according to the NPRG approach<br/>3.6.7.1 The physics in d = 3 just below Nc(d): scaling with a pseudo-fixed point and minimum of the flow<br/>3.6.7.2 Scaling with or without pseudo-fixed point: the Heisenberg and XY cases<br/>3.6.7.3 The integration of the RG flow<br/>3.6.7.4 The Heisenberg case<br/>3.6.7.5 The XY case<br/>3.6.8 Conclusion<br/>3.7 Conclusion and prospects<br/>3.8 Note added in the 2nd Edition<br/>References<br/>4. Phase Transitions in Frustrated Vector Spin Systems: Numerical Studies<br/>D. Loison<br/>4.1 Introduction<br/>4.2 Breakdown of Symmetry<br/>4.2.1 Symmetry in the high-temperature region<br/>4.2.2 Breakdown of symmetry for ferromagnetic systems<br/>4.2.3 Breakdown of symmetry for frustrated systems<br/>4.2.3.1 Stacked triangular antiferromagnetic lattices<br/>4.2.3.2 bct Helimagnets<br/>4.2.3.3 Stacked J1−J2 square lattices<br/>4.2.3.4 The simple cubic J1−J2 lattice<br/>4.2.3.5 J1 − J2 − J3 lattice<br/>4.2.3.6 Villain lattice and fully frustrated simple cubic lattice<br/>4.2.3.7 Face-centered cubic lattice (fcc)<br/>4.2.3.8 Hexagonal-close-packed lattice (hcp)<br/>4.2.3.9 Pyrochlores<br/>4.2.3.10 Other lattices<br/>4.2.3.11 STAR lattices<br/>4.2.3.12 Dihedral lattices VN,2<br/>4.2.3.13 Right-handed trihedral lattices V3,3<br/>4.2.3.14 P-hedral lattices VN,P<br/>4.2.3.15 Ising and Potts-VN,1 model<br/>4.2.3.16 Ising and Potts-VN,2 model<br/>4.2.3.17 Landau-Ginzburg model<br/>4.2.3.18 Cubic term in Hamiltonian<br/>4.2.3.19 Summary<br/>4.3 Phase transitions between two and four dimensions: 2 < d ≤ 4<br/>4.3.1 O(N)/0(N − 2) breakdown of symmetry<br/>4.3.1.1 Fixed points<br/>4.3.1.2 MCRG and first-order transition<br/>4.3.1.3 Complex fixed point or minimum in the flow<br/>4.3.1.4 Experiment<br/>4.3.1.5 Value of Nc<br/>4.3.1.6 Phase diagram (N,d)<br/>4.3.1.7 Renormalization-Group expansions<br/>4.3.1.8 Short historical review<br/>4.3.1.9 Relations with the Potts model<br/>4.3.2 0(N)/0(N − P) breakdown of symmetry for d = 3<br/>4.3.3 Z2<br/>4.3.4 Z3<br/>4.3.5 Zq<br/>4.4 Conclusion<br/>4.5 0(N) frustrated vector spins in d = 2<br/>4.5.1 Introduction<br/>4.5.2 Non-frustrated XY spin systems<br/>4.5.3 Frustrated XY spin systems: Z2<br/>4.5.4 Frustrated XY spin systems: Z3<br/>4.5.5 Frustrated XY spin systems: Z2<br/>4.5.6 Frustrated Heisenberg spin systems: S0(3)<br/>4.5.7 Frustrated Heisenberg spin systems: Z2<br/>4.5.8 Topological defects for N ≥ 4<br/>4.6 General conclusions<br/>Acknowledgments<br/>4.7 Note added for the 2nd Edition<br/>AppendixA: Monte Carlo Simulation<br/>AppendixB: Renormalization Group<br/>References<br/>5. Two-Dimensional Quantum Antiferromagnets<br/>Grégoire Misguich and Claire Lhuillier<br/>5.1 Introduction<br/>5.2 J1−J2 model on the square lattice<br/>5.2.1 Classical ground state and spin-wave analysis<br/>5.2.2 Order by disorder (J2 > J1/2)<br/>5.2.3 Non-magnetic region (J2<br/>5.2.3.1 Series expansions<br/>5.2.3.2 Exact diagonalizations<br/>5.2.3.3 Quantum Monte Carlo<br/>5.3 Valence-bond crystals<br/>5.3.1 Definitions<br/>5.3.2 One-dimensional and quasi one-dimensional examples (spin-<br/>5.3.3 Valence Bond Solids<br/>5.3.4 Two-dimensional examples of VBC<br/>5.3.4.1 Without spontaneous lattice symmetry breaking<br/>5.3.4.2 With spontaneous lattice symmetry breaking<br/>5.3.5 Methods<br/>5.3.6 Summary of the properties of VBC phases<br/>5.4 Large-N methods<br/>5.4.1 Bond variables<br/>5.4.2 SU (N)<br/>5.4.3 Sp(N)<br/>5.4.3.1 Gauge invariance<br/>5.4.3.2 Mean-field (N = ∞ limit)<br/>5.4.3.3 Fluctuations about the mean-field solution<br/>5.4.3.4 Topological effects — instantons and spontaneous dimerization<br/>5.4.3.5 Deconfined phases<br/>5.5 Quantum Dimer Models<br/>5.5.1 Hamiltonian<br/>5.5.2 Relation with spin-<br/>5.5.3 Square lattice<br/>5.5.3.1 Transition graphs and topological sectors .<br/>5.5.3.2 Staggered VBC for V/J > 1<br/>5.5.3.3 Columnar crystal for V < 0<br/>5.5.3.4 Plaquette phase<br/>5.5.3.5 Rokhsar-Kivelson point<br/>5.5.4 Hexagonal lattice<br/>5.5.5 Triangular lattice<br/>5.5.5.1 RVB liquid at the RK point<br/>5.5.5.2 Topological order<br/>5.5.6 Solvable QDM on the kagome lattice<br/>5.5.6.1 Hamiltonian<br/>5.5.6.2 RK groundstate<br/>5.5.6.3 Ising pseudo-spin variables<br/>5.5.6.4 Dimer-dimer correlations<br/>5.5.6.5 Visons excitations<br/>5.5.6.6 Spinons deconfinement<br/>5.5.6.7 <br/>5.5.7 A QDM with an extensive ground state entropy .<br/>5.6 Multiple-spin exchange models<br/>5.6.1 Physical realizations of multiple-spin interactions .<br/>5.6.1.1 Nuclear magnetism of solid 3He<br/>5.6.1.2 Wigner crystal<br/>5.6.1.3 Cuprates<br/>5.6.2 Two-leg ladders<br/>5.6.3 MSE model on the square lattice<br/>5.6.4 RVB phase of the triangular J2−J4 MSE<br/>5.6.4.1 Non-planar classical ground states<br/>5.6.4.2 Absence of Néel LRO<br/>5.6.4.3 Local singlet-singlet correlations — absence of lattice symmetry breaking<br/>5.6.4.4 Topological degeneracy and Lieb-Schultz-Mattis Theorem<br/>5.6.4.5 Deconfined spinons<br/>5.6.5 Other models with MSE interactions<br/>5.7 Antiferromagnets on the kagome lattice<br/>5.7.1 Ising model<br/>5.7.2 Classical Heisenberg models on the kagome lattice<br/>5.7.3 Nearest-neighbor RVB description of the spin-<br/>5.7.4 Spin-<br/>5.7.4.1 Ground-state energy per spin<br/>5.7.4.2 Correlations<br/>5.7.4.3 Spin gap<br/>5.7.4.4 Singlet gap<br/>5.7.4.5 Entanglement entropy and signature of a<br/>5.7.4.6 Spin liquids on the kagome lattice and Projective symmetry groups<br/>5.7.5 Competing phases<br/>5.7.5.1 Valence Bond Crystals<br/>5.7.5.2 U(1) Dirac Spin Liquid<br/>5.7.5.3 Spontaneously breaking the time-reversal symmetry, “chiral” spin liquids<br/>5.7.6 Experiments in compounds with kagome-like lattices<br/>5.8 Conclusions<br/>References<br/>6. One-Dimensional Quantum Spin Liquids 321<br/>P. Lecheminant<br/>6.1 Introduction<br/>6.2 Unfrustrated spin chains<br/>6.2.1 Spin-1/2 Heisenberg chain<br/>6.2.2 Haldane’s conjecture<br/>6.2.3 Haldane spin liquid: spin-1 Heisenberg chain<br/>6.2.4 General spin-S case<br/>6.2.5 Two-leg spin ladder<br/>6.2.6 Non-Haldane spin liquid<br/>6.3 Frustration effects<br/>6.3.1 Semiclassical analysis<br/>6.3.2 Spin liquid phase with massive deconfined spinons<br/>6.3.3 Field theory of spin liquid with incommensurate correlations<br/>6.3.4 Extended criticality stabilized by frustration<br/>6.3.4.1 Critical phases with SU(N) quantum criticality<br/>6.3.4.2 Chirally stabilized critical spin liquid<br/>6.4 Concluding remarks<br/>6.5 Note added for the 2nd Edition<br/>References<br/>7. Spin Ice<br/>Steven T. Bramwell, Michel J. P. Gingras and Peter C. W. Holdsworth<br/>7.1 Introduction<br/>7.2 From Water Ice to Spin Ice<br/>7.2.1 Pauling’s model<br/>7.2.2 Why is the zero point entropy not zero?<br/>7.2.3 Generalizations of Pauling’s model<br/>7.2.3.1 Wannier’s model<br/>7.2.3.2 Anderson’smodel<br/>7.2.3.3 Vertex models<br/>7.2.3.4 Possibility of realizing magnetic vertex models<br/>7.2.4 Spinice<br/>7.2.4.1 Definition of the spin ice model and its application to Ho2Ti2O7<br/>7.2.4.2 Identification of spin ice materials<br/>7.2.4.3 Basic properties of the spin ice materials .<br/>7.2.5 Spin ice as a frustrated magnet<br/>7.2.5.1 Frustration and underconstraining<br/>7.2.5.2 <br/>7.3 Properties of the Zero Field Spin Ice State<br/>7.3.1 Experimental properties<br/>7.3.1.1 Heat capacity: zero point entropy<br/>7.3.1.2 Low field magnetic susceptibility: spin freezing<br/>7.3.1.3 Spin arrangement observed by neutron scattering<br/>7.3.2 Microscopic theories and experimental tests<br/>7.3.2.1 Near-neighbour spin ice model: successes and failures<br/>7.3.2.2 The problem of treating the dipolar interaction<br/>7.3.2.3 The Ewald Monte Carlo<br/>7.3.2.4 Mean-field theory<br/>7.3.2.5 The loop Monte Carlo<br/>7.3.2.6 Application of the dipolar model to neutron scattering results<br/>7.3.2.7 How realistic is the dipolar model?<br/>7.4 Field-Induced Phases<br/>7.4.1 Theory<br/>7.4.1.1 Near neighbour model<br/>7.4.1.2 Dipolar model<br/>7.4.2 Magnetization measurements above T = 1K<br/>7.4.3 Bulk measurements at low temperature<br/>7.4.3.1 [111] Direction<br/>7.4.3.2 [110] Direction<br/>7.4.3.3 [100] Direction<br/>7.4.3.4 [211] Direction<br/>7.4.3.5 Powder measurements<br/>7.4.4 Neutron scattering results<br/>7.4.4.1 [110] Direction<br/>7.4.4.2 [100], [111] and [211] Directions<br/>7.4.5 Kagomé ice<br/>7.4.5.1 Basic Kagomé ice model and mappings<br/>7.4.5.2 Experimental results: specific heat<br/>7.4.5.3 Theory of the Kagomé ice state: Kastelyn transition<br/>7.5 Spin Dynamics of the Spin Ice Materials<br/>7.5.1 Experimental quantities of interest<br/>7.5.1.1 Correlation functions and neutron scattering<br/>7.5.1.2 Fluctuation-dissipation theorem and AC-susceptibility<br/>7.5.1.3 Spectral shape function<br/>7.5.1.4 Exponential relaxation<br/>7.5.2 Differences between Ho2Ti2O7 and Dy2Ti2O7<br/>7.5.3 Relaxation at high temperature, T ~ 15 K and above<br/>7.5.3.1 AC-susceptibility (AC-x)<br/>7.5.3.2 Neutron spin echo (NSE)<br/>7.5.3.3 Origin of the 15 K AC-susceptibility peak<br/>7.5.4 Relaxation in the range 1 K ≤ T ≤ 15 K<br/>7.5.4.1 AC-susceptibility: phenomenological model<br/>7.5.4.2 AC-susceptibility: towards a microscopic model<br/>7.5.5 Spin dynamics in the spin ice regime below 1 K<br/>7.5.5.1 Slow relaxation<br/>7.5.5.2 Evidence for residual dynamics in the frozen state<br/>7.5.6 Doped spin ice<br/>7.5.7 Spin ice under pressure<br/>7.6 Spin Ice Related Materials<br/>7.6.1 Rare earth titanates<br/>7.6.2 Other pyrochlores related to spin ice<br/>7.7 Conclusions<br/>Acknowledgments<br/>7.8 Note added for the 2nd Edition<br/>References<br/>8. Experimental Studies of Frustrated Pyrochlore Antiferromagnets<br/>Bruce D. Gaulin and Jason S. Gardner<br/>8.1 Introduction<br/>8.2 Pyrochlore Lattices<br/>8.3 Neutron Scattering Techniques<br/>8.4 Cooperative Paramagnetism in Tb2Ti2O7<br/>8.5 The Spin Glass Ground State in Y2Mo2O7<br/>8.6 Composite Spin Degrees of Freedom and Spin-Peierls-like Ground State in the Frustrated Spinel ZnCr2O4<br/>8.7 Conclusions and Outlook<br/>References<br/>9. Recent Progress in Spin Glasses<br/>N. Kawashima and H. Rieger<br/>9.1 Two Pictures<br/>9.1.1 Mean-field picture<br/>9.1.2 Dropletpicture<br/>9.2 Equilibrium Properties of Two-Dimensional Ising Spin Glasses<br/>9.2.1 Zero-temperature transition?<br/>9.2.2 Droplet argument for Gaussian-Coupling models<br/>9.2.3 Droplets in Gaussian-Coupling models: numerics<br/>9.2.4 Finite-temperature transition?<br/>9.3 Equilibrium Properties of Three-Dimensional Models<br/>9.3.1 Finite temperature transition?<br/>9.3.2 Universality class<br/>9.3.3 Low-temperature phase of the ±J model<br/>9.3.4 Low-temperature phase of the Gaussian–Coupling model<br/>9.3.5 Effect of magnetic fields<br/>9.3.6 Sponge-like excitations<br/>9.3.7 TNT picture — Introduction of a new scaling length<br/>9.3.8 Arguments supporting the droplet picture<br/>9.4 Models in Four or Higher Dimensions<br/>9.5 Aging<br/>9.5.1 A growing length scale during aging?<br/>9.5.2 Two time quantities: isothermal aging<br/>9.5.3 More complicated temperature protocols<br/>9.5.4 Violation of the Fluctuation–Dissipation theorem<br/>9.5.5 Hysteresis in spin glasses<br/>9.6 Equilibrium Properties of Classical XY and Heisenberg Spin Glasses<br/>9.6.1 Continuous spin models in three dimensions<br/>9.6.2 Continuous spin models in higher dimensions<br/>9.6.3 Potts spin glasses<br/>9.7 Weak Disorder<br/>9.7.1 Phase diagram of the discrete spin models<br/>9.7.2 Dynamical properties<br/>9.7.3 The renormalization group approach for the discrete models<br/>9.7.4 The location of the multi-critical point<br/>9.7.5 Phase diagram of the random XY model in two dimensions<br/>9.8 Quantum Spin Glasses<br/>9.8.1 Random transverse Ising models<br/>9.8.2 Mean-field theory<br/>9.8.3 Mean-field theory — Dissipative effects<br/>9.8.4 Mean-field theory — Dynamics<br/>9.8.5 Heisenberg quantum spin glasses<br/>9.8.5.1 Finite dimensions<br/>9.8.5.2 Mean-field model<br/>9.9 Summary and Remaining Problems<br/>Acknowledgments<br/>References<br/>Index<br/> |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | This book covers all principal aspects of currently investigated frustrated systems, from exactly solved frustrated models to real experimental frustrated systems, going through renormalization group treatment, Monte Carlo investigation of frustrated classical Ising and vector spin models, low-dimensional systems, spin ice and quantum spin glass. The reader can — within a single book — obtain a global view of the current research development in the field of frustrated systems.This new edition is updated with recent theoretical, numerical and experimental developments in the field of frustrated spin systems. The first edition of the book appeared in 2005. In this edition, more recent works until 2012 are reviewed. It contains nine chapters written by researchers who have actively contributed to the field. Many results are from recent works of the authors.The book is intended for postgraduate students as well as researchers in statistical physics, magnetism, materials science and various domains where real systems can be described with the spin language. Explicit demonstrations of formulas and full arguments leading to important results are given where it is possible to do so. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Magnetization. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Rotational motion. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Spin waves. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Ferromagnetism. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Diep, H. T. |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Source of classification or shelving scheme | Dewey Decimal Classification |
| Koha item type | General Books |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE | |
| Bibliography, etc | Includes bibliographical references and index. |
| 906 ## - LOCAL DATA ELEMENT F, LDF (RLIN) | |
| a | 7 |
| b | cbc |
| c | orignew |
| d | 1 |
| e | ecip |
| f | 20 |
| g | y-gencatlg |
| Withdrawn status | Lost status | Source of classification or shelving scheme | Damaged status | Not for loan | Collection code | Home library | Location | Shelving location | Date of Cataloging | Total Checkouts | Full call number | Barcode | Date last seen | Price effective from | Koha item type |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Dewey Decimal Classification | Non-fiction | CUTN Central Library | CUTN Central Library | Sciences | 24/01/2025 | 531.34 DIE | 51027 | 24/01/2025 | 24/01/2025 | General Books |