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Springer eBooks

Field theories for low-dimensional condensed matter systems : spin systems and strongly correlated electrons

G. Morandi, Pasquale Sodano, A. Tagliacozzo, V. Tognetti

Published Jan 1, 2000• 14 citations
Publisher
DOI
10.1007/978-3-662-04273-1

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A two and half day workshop at Boston University, devoted to a discussion of common problems in the theoretical and computational study of particle physics and condensed matter. The phase structure of strongly coupled quantum field theories are of great interest in condensed matter and high energy physics. For example, the study of strongly correlated systems, such as frustrated quantum anti-ferromagnets, have suggested the existence of phases in which the low energy excitations do not have the quantum numbers of electrons but are fractionalized. The field description of such systems are typically topological quantum field theories. The latter have also proved important in constructing supersymmetric lattice gauge theories. Quantum critical systems in condensed matter are described by conformal field theories which have the subject of much recent work in the context of theories of Beyond Standard Model physics. Finally, theoretical holographic techniques originating in string theory may offer a new tool to investigate strongly interacting electrons. In parallel with these theoretical developments there has been rapid progress in computational methods in both fields; from tensor networks and density matrix renormalization group techniques to the rational hybrid Monte Carlo algorithm and techniques to ameliorate the famous sign problem. It is thus a propitious time to bring both communities together to stimulate an exchange of ideas and facilitate possible future collaborations.

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The Exact Solution of One-dimensional t-J-V Model with Periodic Boundary Conditions

Jun Zhang

Low-dimensional materials can cause the most concern in condensed matter physics research fields and they have been an additional source of motivation to investigate one-dimensional exactly solvable models.t-J model is a typical model to study strongly correlated electron system and in low-dimensional materials.We will study the integrability conditions of the t-J-V model,which is the expansion model of t-J model.We obtain that the model is integrabl and has the strict solutions when J = 2 and V =-2/1 or J =-2 and V =-23.

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Low Dimensional Quantum Field Theories for Condensed Matter Physicists

Subir Sachdev A

•Jan 1, 1992•48 citations
A two and half day workshop at Boston University, devoted to a discussion of common problems in the theoretical and computational study of particle physics and condensed matter. The phase structure of strongly coupled quantum field theories are of great interest in condensed matter and high energy physics. For example, the study of strongly correlated systems, such as frustrated quantum anti-ferromagnets, have suggested the existence of phases in which the low energy excitations do not have the quantum numbers of electrons but are fractionalized. The field description of such systems are typically topological quantum field theories. The latter have also proved important in constructing supersymmetric lattice gauge theories. Quantum critical systems in condensed matter are described by conformal field theories which have the subject of much recent work in the context of theories of Beyond Standard Model physics. Finally, theoretical holographic techniques originating in string theory may offer a new tool to investigate strongly interacting electrons. In parallel with these theoretical developments there has been rapid progress in computational methods in both fields; from tensor networks and density matrix renormalization group techniques to the rational hybrid Monte Carlo algorithm and techniques to ameliorate the famous sign problem. It is thus a propitious time to bring both communities together to stimulate an exchange of ideas and facilitate possible future collaborations.
This book contains lectures on strongly correlated electron systems presented by eminent physicists. These lectures are up-to-date summaries of relevant subjects in the field of condensed matter physics intended to train students. Contributions include: strongly correlated electron behaviors and heavy Fermions in anomalous rare-earth and actinide systems; strong correlations in low dimensional systems; functional renormalization group approach to correlated electron systems; and numerical approaches to coupled quantum systems.
Low-dimensional materials can cause the most concern in condensed matter physics research fields and they have been an additional source of motivation to investigate one-dimensional exactly solvable models.t-J model is a typical model to study strongly correlated electron system and in low-dimensional materials.We will study the integrability conditions of the t-J-V model,which is the expansion model of t-J model.We obtain that the model is integrabl and has the strict solutions when J = 2 and V =-2/1 or J =-2 and V =-23.