Modern Condensed Matter Physics
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Modern Condensed Matter Physics

Steven M. Girvin, Kun Yang

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eBook - PDF

Modern Condensed Matter Physics

Steven M. Girvin, Kun Yang

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About This Book

Modern Condensed Matter Physics brings together the most important advances in the field of recent decades. It provides instructors teaching graduate-level condensed matter courses with a comprehensive and in-depth textbook that will prepare graduate students for research or further study as well as reading more advanced and specialized books and research literature in the field. This textbook covers the basics of crystalline solids as well as analogous optical lattices and photonic crystals, while discussing cutting-edge topics such as disordered systems, mesoscopic systems, many-body systems, quantum magnetism, Bose–Einstein condensates, quantum entanglement, and superconducting quantum bits. Students are provided with the appropriate mathematical background to understand the topological concepts that have been permeating the field, together with numerous physical examples ranging from the fractional quantum Hall effect to topological insulators, the toric code, and majorana fermions. Exercises, commentary boxes, and appendices afford guidance and feedback for beginners and experts alike.

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Information

Publisher
Cambridge University Press
Year
2019
ISBN
9781108573610
Topic
Ciencias físicas
Subtopic
Física
5.3
Classical
Dynamics
of
Lattice
Vibrations
77
where
a
is
the
lattice
constant,
(
i
j
)
represent
pairs
of
atoms,
and
λ
(
i
j
)
equals
λ
1
and
λ
2
for
nearest-
and
next-nearest
neighbors,
respectively,
and
is
zero
otherwise.
Find
the
frequency
and
polarization
vectors
of
the
normal
modes
along
the
directions
of
nearest-neighbor
bonds.
Exercise
5.8.
Consider
a
1D
chain
of
atoms
as
depicted
in
Fig.
5.3
,
made
of
two
types
of
atoms
with
mass
M
A
and
M
B
for
the
atoms
on
A
and
B
sites,
respectively.
The
only
interaction
is
between
nearest-neighbor
atoms,
of
the
form
of
Eq.
(
5.37
).
Find
the
lattice
wave
spectrum.

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